<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom" xmlns:content="http://purl.org/rss/1.0/modules/content/"><channel><title>Spatial on Tarragon</title><link>https://tarrragon.github.io/blog/tags/spatial/</link><description>Recent content in Spatial on Tarragon</description><generator>Hugo -- gohugo.io</generator><language>zh-TW</language><copyright>Tarragon (CC BY 4.0)</copyright><lastBuildDate>Tue, 19 May 2026 00:00:00 +0000</lastBuildDate><atom:link href="https://tarrragon.github.io/blog/tags/spatial/index.xml" rel="self" type="application/rss+xml"/><item><title>PostGIS Deep Dive：Geometry / Geography 型別、GiST 空間索引跟 ST_* 函式生態</title><link>https://tarrragon.github.io/blog/backend/01-database/vendors/postgresql/postgis-deep-dive/</link><pubDate>Tue, 19 May 2026 00:00:00 +0000</pubDate><guid>https://tarrragon.github.io/blog/backend/01-database/vendors/postgresql/postgis-deep-dive/</guid><description>&lt;blockquote>
&lt;p>本文是 &lt;a href="https://tarrragon.github.io/blog/backend/01-database/vendors/postgresql/" data-link-title="PostgreSQL" data-link-desc="多用途 OLTP 主流關聯式資料庫、MVCC、豐富 SQL 特性、是 Aurora / Cosmos DB / Spanner / CockroachDB / Aurora DSQL 的相容目標">PostgreSQL&lt;/a> overview 的 implementation-layer deep article。Overview 已說明 PG 在 OLTP 譜系的定位、本文聚焦 &lt;em>PostGIS extension&lt;/em> — PG 變 GIS DB 的標配、跟 &lt;a href="https://tarrragon.github.io/blog/backend/01-database/vendors/postgresql/extension-ecosystem/" data-link-title="PostgreSQL Extension Ecosystem：把 PG 變成 vector DB / time-series / sharded 的 plugin 生態" data-link-desc="PG 的 extension 機制不只是 plugin、是 *結構性產品線擴張* — pgvector 讓 PG 變 vector DB、TimescaleDB 變 time-series、Citus 變 sharded、PostGIS 變 GIS。本文走 PG extension lifecycle、6 個 production-critical extension（pg_stat_statements / pg_partman / pg_repack / pgvector / TimescaleDB / PostGIS）、5 production 踩雷（extension version 跟 PG version 對齊 / managed PG 限制 / upgrade order / shared_preload_libraries 衝突 / extension 跟 logical replication 互動）、cloud vendor 對 extension 的限制">extension-ecosystem&lt;/a> 是 &lt;em>單一 extension 細節 vs ecosystem 全景&lt;/em> 的關係。&lt;/p>&lt;/blockquote>
&lt;hr>
&lt;h2 id="postgis-是-pg-的-gis-specialization">PostGIS 是 PG 的 &lt;em>GIS Specialization&lt;/em>&lt;/h2>
&lt;p>PostGIS 是 PG 最成熟的 extension 之一（2001 年起、25 年歷史）、產業地位等同 OracleSpatial / SQL Server geography：&lt;/p>





&lt;div class="highlight">&lt;pre tabindex="0" class="chroma">&lt;code class="language-sql" data-lang="sql">&lt;span class="line">&lt;span class="ln">1&lt;/span>&lt;span class="cl">&lt;span class="k">CREATE&lt;/span>&lt;span class="w"> &lt;/span>&lt;span class="n">EXTENSION&lt;/span>&lt;span class="w"> &lt;/span>&lt;span class="n">postgis&lt;/span>&lt;span class="p">;&lt;/span>&lt;/span>&lt;/span>&lt;/code>&lt;/pre>&lt;/div>&lt;p>加完後 PG 多兩件事：&lt;/p>
&lt;ol>
&lt;li>&lt;strong>空間型別&lt;/strong>：&lt;code>geometry&lt;/code>（平面）/ &lt;code>geography&lt;/code>（地球曲面）/ &lt;code>raster&lt;/code>（柵格）&lt;/li>
&lt;li>&lt;strong>1000+ 函式&lt;/strong>：&lt;code>ST_Distance&lt;/code> / &lt;code>ST_Within&lt;/code> / &lt;code>ST_Buffer&lt;/code> / &lt;code>ST_Intersects&lt;/code> 等&lt;/li>
&lt;/ol>
&lt;p>用 PostGIS 解的典型 workload：&lt;/p>
&lt;ul>
&lt;li>「離我最近的 N 家店」（k-NN）&lt;/li>
&lt;li>「半徑 1km 內的所有 POI」（radius query）&lt;/li>
&lt;li>「兩個 polygon 是否重疊」（intersection）&lt;/li>
&lt;li>「polyline 總長度」（measurement）&lt;/li>
&lt;li>「行政區包含哪些 point」（containment）&lt;/li>
&lt;/ul>
&lt;h2 id="geometry-vs-geography選錯付學費">Geometry vs Geography：選錯付學費&lt;/h2>
&lt;p>PostGIS 提供兩種空間型別、用途完全不同：&lt;/p>
&lt;table>
 &lt;thead>
 &lt;tr>
 &lt;th>維度&lt;/th>
 &lt;th>&lt;code>geometry&lt;/code>&lt;/th>
 &lt;th>&lt;code>geography&lt;/code>&lt;/th>
 &lt;/tr>
 &lt;/thead>
 &lt;tbody>
 &lt;tr>
 &lt;td>座標系統&lt;/td>
 &lt;td>平面（笛卡兒）&lt;/td>
 &lt;td>地球曲面（spheroid）&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>距離單位&lt;/td>
 &lt;td>座標系統決定（meter / degree）&lt;/td>
 &lt;td>永遠 meter&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>跨經度 180°&lt;/td>
 &lt;td>不處理&lt;/td>
 &lt;td>自動處理&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>適用範圍&lt;/td>
 &lt;td>小區域（單一城市 / 國家）&lt;/td>
 &lt;td>全球&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>函式覆蓋&lt;/td>
 &lt;td>1000+ 函式&lt;/td>
 &lt;td>約 300 函式&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>效能&lt;/td>
 &lt;td>快（平面計算）&lt;/td>
 &lt;td>慢 2-5x（球面計算）&lt;/td>
 &lt;/tr>
 &lt;tr>
 &lt;td>Index 行為&lt;/td>
 &lt;td>GiST 直接&lt;/td>
 &lt;td>GiST 直接&lt;/td>
 &lt;/tr>
 &lt;/tbody>
&lt;/table>
&lt;p>&lt;strong>選 &lt;code>geography&lt;/code> 的場景&lt;/strong>：&lt;/p></description><content:encoded><![CDATA[<blockquote>
<p>本文是 <a href="/blog/backend/01-database/vendors/postgresql/" data-link-title="PostgreSQL" data-link-desc="多用途 OLTP 主流關聯式資料庫、MVCC、豐富 SQL 特性、是 Aurora / Cosmos DB / Spanner / CockroachDB / Aurora DSQL 的相容目標">PostgreSQL</a> overview 的 implementation-layer deep article。Overview 已說明 PG 在 OLTP 譜系的定位、本文聚焦 <em>PostGIS extension</em> — PG 變 GIS DB 的標配、跟 <a href="/blog/backend/01-database/vendors/postgresql/extension-ecosystem/" data-link-title="PostgreSQL Extension Ecosystem：把 PG 變成 vector DB / time-series / sharded 的 plugin 生態" data-link-desc="PG 的 extension 機制不只是 plugin、是 *結構性產品線擴張* — pgvector 讓 PG 變 vector DB、TimescaleDB 變 time-series、Citus 變 sharded、PostGIS 變 GIS。本文走 PG extension lifecycle、6 個 production-critical extension（pg_stat_statements / pg_partman / pg_repack / pgvector / TimescaleDB / PostGIS）、5 production 踩雷（extension version 跟 PG version 對齊 / managed PG 限制 / upgrade order / shared_preload_libraries 衝突 / extension 跟 logical replication 互動）、cloud vendor 對 extension 的限制">extension-ecosystem</a> 是 <em>單一 extension 細節 vs ecosystem 全景</em> 的關係。</p></blockquote>
<hr>
<h2 id="postgis-是-pg-的-gis-specialization">PostGIS 是 PG 的 <em>GIS Specialization</em></h2>
<p>PostGIS 是 PG 最成熟的 extension 之一（2001 年起、25 年歷史）、產業地位等同 OracleSpatial / SQL Server geography：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln">1</span><span class="cl"><span class="k">CREATE</span><span class="w"> </span><span class="n">EXTENSION</span><span class="w"> </span><span class="n">postgis</span><span class="p">;</span></span></span></code></pre></div><p>加完後 PG 多兩件事：</p>
<ol>
<li><strong>空間型別</strong>：<code>geometry</code>（平面）/ <code>geography</code>（地球曲面）/ <code>raster</code>（柵格）</li>
<li><strong>1000+ 函式</strong>：<code>ST_Distance</code> / <code>ST_Within</code> / <code>ST_Buffer</code> / <code>ST_Intersects</code> 等</li>
</ol>
<p>用 PostGIS 解的典型 workload：</p>
<ul>
<li>「離我最近的 N 家店」（k-NN）</li>
<li>「半徑 1km 內的所有 POI」（radius query）</li>
<li>「兩個 polygon 是否重疊」（intersection）</li>
<li>「polyline 總長度」（measurement）</li>
<li>「行政區包含哪些 point」（containment）</li>
</ul>
<h2 id="geometry-vs-geography選錯付學費">Geometry vs Geography：選錯付學費</h2>
<p>PostGIS 提供兩種空間型別、用途完全不同：</p>
<table>
  <thead>
      <tr>
          <th>維度</th>
          <th><code>geometry</code></th>
          <th><code>geography</code></th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>座標系統</td>
          <td>平面（笛卡兒）</td>
          <td>地球曲面（spheroid）</td>
      </tr>
      <tr>
          <td>距離單位</td>
          <td>座標系統決定（meter / degree）</td>
          <td>永遠 meter</td>
      </tr>
      <tr>
          <td>跨經度 180°</td>
          <td>不處理</td>
          <td>自動處理</td>
      </tr>
      <tr>
          <td>適用範圍</td>
          <td>小區域（單一城市 / 國家）</td>
          <td>全球</td>
      </tr>
      <tr>
          <td>函式覆蓋</td>
          <td>1000+ 函式</td>
          <td>約 300 函式</td>
      </tr>
      <tr>
          <td>效能</td>
          <td>快（平面計算）</td>
          <td>慢 2-5x（球面計算）</td>
      </tr>
      <tr>
          <td>Index 行為</td>
          <td>GiST 直接</td>
          <td>GiST 直接</td>
      </tr>
  </tbody>
</table>
<p><strong>選 <code>geography</code> 的場景</strong>：</p>
<ul>
<li>全球範圍 application（跨國 / 跨大陸）</li>
<li>距離精準度要求高（球面比平面誤差小）</li>
<li>不需要複雜空間運算（geography 函式較少）</li>
</ul>
<p><strong>選 <code>geometry</code> 的場景</strong>：</p>
<ul>
<li>單一城市 / 國家內 application</li>
<li>需要完整 ST_* 函式（90% 函式只支援 geometry）</li>
<li>效能敏感</li>
</ul>
<p>實務多數 production 選 <code>geometry</code> + 適合的 SRID（用 local projection）— 既快又精準。</p>
<h2 id="srid-跟-projection為什麼-4326-vs-3857-是-gis-第一課">SRID 跟 Projection：為什麼 4326 vs 3857 是 GIS 第一課</h2>
<p>SRID（Spatial Reference System Identifier）定義「座標數字怎麼解讀」：</p>
<table>
  <thead>
      <tr>
          <th>SRID</th>
          <th>名稱</th>
          <th>適用</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>4326</td>
          <td>WGS 84（GPS）</td>
          <td>經緯度、最常見、Google Maps API</td>
      </tr>
      <tr>
          <td>3857</td>
          <td>Web Mercator</td>
          <td>Web tile map（OpenStreetMap）</td>
      </tr>
      <tr>
          <td>3826</td>
          <td>TWD97 / TM2 zone 121</td>
          <td>台灣 local projection、米為單位</td>
      </tr>
      <tr>
          <td>2272</td>
          <td>NAD83 / Pennsylvania</td>
          <td>美國 state plane（各州不同）</td>
      </tr>
  </tbody>
</table>
<p><strong>為什麼選 local projection（3826）而不是經緯度（4326）</strong>：</p>
<ul>
<li>經緯度單位是 <em>度</em>、不是距離 — <code>ST_Distance</code> 直接算出來是「度」、不是「米」</li>
<li>距離計算需 <code>ST_DistanceSphere</code> 或 <code>geography</code> cast、計算 cost 高</li>
<li>Local projection 是「平面投影」、<code>ST_Distance</code> 直接是米、<code>ST_Area</code> 直接是平方米</li>
</ul>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln"> 1</span><span class="cl"><span class="c1">-- 4326 經緯度直接算 → 結果不是米
</span></span></span><span class="line"><span class="ln"> 2</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_Distance</span><span class="p">(</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 3</span><span class="cl"><span class="w">    </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5654</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0330</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">),</span><span class="w">  </span><span class="c1">-- 台北 101
</span></span></span><span class="line"><span class="ln"> 4</span><span class="cl"><span class="c1"></span><span class="w">    </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5170</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0478</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">)</span><span class="w">   </span><span class="c1">-- 台北車站
</span></span></span><span class="line"><span class="ln"> 5</span><span class="cl"><span class="c1"></span><span class="p">);</span><span class="w">  </span><span class="c1">-- ~0.05（這是「度」）
</span></span></span><span class="line"><span class="ln"> 6</span><span class="cl"><span class="c1"></span><span class="w">
</span></span></span><span class="line"><span class="ln"> 7</span><span class="cl"><span class="w"></span><span class="c1">-- 轉 3826（台灣本地投影）才是米
</span></span></span><span class="line"><span class="ln"> 8</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_Distance</span><span class="p">(</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 9</span><span class="cl"><span class="w">    </span><span class="n">ST_Transform</span><span class="p">(</span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5654</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0330</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">),</span><span class="w"> </span><span class="mi">3826</span><span class="p">),</span><span class="w">
</span></span></span><span class="line"><span class="ln">10</span><span class="cl"><span class="w">    </span><span class="n">ST_Transform</span><span class="p">(</span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5170</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0478</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">),</span><span class="w"> </span><span class="mi">3826</span><span class="p">)</span><span class="w">
</span></span></span><span class="line"><span class="ln">11</span><span class="cl"><span class="w"></span><span class="p">);</span><span class="w">  </span><span class="c1">-- ~5300（米）
</span></span></span><span class="line"><span class="ln">12</span><span class="cl"><span class="c1"></span><span class="w">
</span></span></span><span class="line"><span class="ln">13</span><span class="cl"><span class="w"></span><span class="c1">-- 或用 geography cast
</span></span></span><span class="line"><span class="ln">14</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_Distance</span><span class="p">(</span><span class="w">
</span></span></span><span class="line"><span class="ln">15</span><span class="cl"><span class="w">    </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5654</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0330</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">)::</span><span class="n">geography</span><span class="p">,</span><span class="w">
</span></span></span><span class="line"><span class="ln">16</span><span class="cl"><span class="w">    </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">121</span><span class="p">.</span><span class="mi">5170</span><span class="p">,</span><span class="w"> </span><span class="mi">25</span><span class="p">.</span><span class="mi">0478</span><span class="p">),</span><span class="w"> </span><span class="mi">4326</span><span class="p">)::</span><span class="n">geography</span><span class="w">
</span></span></span><span class="line"><span class="ln">17</span><span class="cl"><span class="w"></span><span class="p">);</span><span class="w">  </span><span class="c1">-- ~5300（米）</span></span></span></code></pre></div><p><strong>典型 schema 設計</strong>（台灣 application）：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln"> 1</span><span class="cl"><span class="k">CREATE</span><span class="w"> </span><span class="k">TABLE</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="p">(</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 2</span><span class="cl"><span class="w">    </span><span class="n">id</span><span class="w"> </span><span class="nb">SERIAL</span><span class="w"> </span><span class="k">PRIMARY</span><span class="w"> </span><span class="k">KEY</span><span class="p">,</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 3</span><span class="cl"><span class="w">    </span><span class="n">name</span><span class="w"> </span><span class="nb">TEXT</span><span class="p">,</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 4</span><span class="cl"><span class="w">    </span><span class="c1">-- 儲存 4326（跟 Google Maps API 對齊）
</span></span></span><span class="line"><span class="ln"> 5</span><span class="cl"><span class="c1"></span><span class="w">    </span><span class="n">location_4326</span><span class="w"> </span><span class="n">geometry</span><span class="p">(</span><span class="n">Point</span><span class="p">,</span><span class="w"> </span><span class="mi">4326</span><span class="p">),</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 6</span><span class="cl"><span class="w">    </span><span class="c1">-- 預計算 3826（給距離 / 面積 query 用）
</span></span></span><span class="line"><span class="ln"> 7</span><span class="cl"><span class="c1"></span><span class="w">    </span><span class="n">location_3826</span><span class="w"> </span><span class="n">geometry</span><span class="p">(</span><span class="n">Point</span><span class="p">,</span><span class="w"> </span><span class="mi">3826</span><span class="p">)</span><span class="w"> </span><span class="k">GENERATED</span><span class="w"> </span><span class="n">ALWAYS</span><span class="w"> </span><span class="k">AS</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 8</span><span class="cl"><span class="w">        </span><span class="p">(</span><span class="n">ST_Transform</span><span class="p">(</span><span class="n">location_4326</span><span class="p">,</span><span class="w"> </span><span class="mi">3826</span><span class="p">))</span><span class="w"> </span><span class="n">STORED</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 9</span><span class="cl"><span class="w"></span><span class="p">);</span><span class="w">
</span></span></span><span class="line"><span class="ln">10</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln">11</span><span class="cl"><span class="w"></span><span class="k">CREATE</span><span class="w"> </span><span class="k">INDEX</span><span class="w"> </span><span class="n">idx_pois_location_3826</span><span class="w"> </span><span class="k">ON</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="k">USING</span><span class="w"> </span><span class="n">GIST</span><span class="w"> </span><span class="p">(</span><span class="n">location_3826</span><span class="p">);</span></span></span></code></pre></div><h2 id="gist-空間索引r-tree-的-pg-實作">GiST 空間索引：R-tree 的 PG 實作</h2>
<p>PostGIS 用 PG 內建 GiST 做空間索引（內部是 R-tree 變體）：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln">1</span><span class="cl"><span class="k">CREATE</span><span class="w"> </span><span class="k">INDEX</span><span class="w"> </span><span class="n">idx_pois_geom</span><span class="w"> </span><span class="k">ON</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="k">USING</span><span class="w"> </span><span class="n">GIST</span><span class="w"> </span><span class="p">(</span><span class="n">location_3826</span><span class="p">);</span></span></span></code></pre></div><p>GiST 對空間 query 加速的場景：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln"> 1</span><span class="cl"><span class="c1">-- 範圍 query（box overlap）
</span></span></span><span class="line"><span class="ln"> 2</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 3</span><span class="cl"><span class="w"></span><span class="k">WHERE</span><span class="w"> </span><span class="n">location_3826</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">ST_MakeEnvelope</span><span class="p">(</span><span class="mi">290000</span><span class="p">,</span><span class="w"> </span><span class="mi">2760000</span><span class="p">,</span><span class="w"> </span><span class="mi">305000</span><span class="p">,</span><span class="w"> </span><span class="mi">2775000</span><span class="p">,</span><span class="w"> </span><span class="mi">3826</span><span class="p">);</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 4</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln"> 5</span><span class="cl"><span class="w"></span><span class="c1">-- 半徑 query（用 ST_DWithin 才走 index）
</span></span></span><span class="line"><span class="ln"> 6</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 7</span><span class="cl"><span class="w"></span><span class="k">WHERE</span><span class="w"> </span><span class="n">ST_DWithin</span><span class="p">(</span><span class="n">location_3826</span><span class="p">,</span><span class="w"> </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">300000</span><span class="p">,</span><span class="w"> </span><span class="mi">2770000</span><span class="p">),</span><span class="w"> </span><span class="mi">3826</span><span class="p">),</span><span class="w"> </span><span class="mi">1000</span><span class="p">);</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 8</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln"> 9</span><span class="cl"><span class="w"></span><span class="c1">-- k-NN（PostGIS 2.0+ &lt;-&gt; operator）
</span></span></span><span class="line"><span class="ln">10</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">id</span><span class="p">,</span><span class="w"> </span><span class="n">name</span><span class="p">,</span><span class="w"> </span><span class="n">location_3826</span><span class="w"> </span><span class="o">&lt;-&gt;</span><span class="w"> </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">300000</span><span class="p">,</span><span class="w"> </span><span class="mi">2770000</span><span class="p">),</span><span class="w"> </span><span class="mi">3826</span><span class="p">)</span><span class="w"> </span><span class="k">AS</span><span class="w"> </span><span class="n">dist</span><span class="w">
</span></span></span><span class="line"><span class="ln">11</span><span class="cl"><span class="w"></span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="w">
</span></span></span><span class="line"><span class="ln">12</span><span class="cl"><span class="w"></span><span class="k">ORDER</span><span class="w"> </span><span class="k">BY</span><span class="w"> </span><span class="n">location_3826</span><span class="w"> </span><span class="o">&lt;-&gt;</span><span class="w"> </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="n">ST_MakePoint</span><span class="p">(</span><span class="mi">300000</span><span class="p">,</span><span class="w"> </span><span class="mi">2770000</span><span class="p">),</span><span class="w"> </span><span class="mi">3826</span><span class="p">)</span><span class="w">
</span></span></span><span class="line"><span class="ln">13</span><span class="cl"><span class="w"></span><span class="k">LIMIT</span><span class="w"> </span><span class="mi">10</span><span class="p">;</span></span></span></code></pre></div><p><strong>index 用沒用到的關鍵</strong>：</p>
<table>
  <thead>
      <tr>
          <th>Query 寫法</th>
          <th>走 index？</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td><code>ST_DWithin(a, b, dist)</code></td>
          <td>是</td>
      </tr>
      <tr>
          <td><code>ST_Distance(a, b) &lt; dist</code></td>
          <td>否（必 full scan）</td>
      </tr>
      <tr>
          <td><code>a &amp;&amp; bbox</code></td>
          <td>是</td>
      </tr>
      <tr>
          <td><code>ST_Intersects(a, bbox)</code></td>
          <td>是</td>
      </tr>
      <tr>
          <td><code>a &lt;-&gt; b ORDER BY ... LIMIT n</code></td>
          <td>是（k-NN）</td>
      </tr>
      <tr>
          <td><code>ST_Equals(a, b)</code></td>
          <td>否</td>
      </tr>
  </tbody>
</table>
<p>Production 寫法守則：能用 <code>ST_DWithin</code> 就不用 <code>ST_Distance(...) &lt; ?</code>、語意一樣但 index 行為差很多。</p>
<h2 id="st_-函式生態產業級全套">ST_* 函式生態：產業級全套</h2>
<p>PostGIS 1000+ 函式分類（典型用到的）：</p>
<table>
  <thead>
      <tr>
          <th>類別</th>
          <th>代表函式</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>建構</td>
          <td><code>ST_MakePoint</code> / <code>ST_MakeLine</code> / <code>ST_MakePolygon</code></td>
      </tr>
      <tr>
          <td>關係判定</td>
          <td><code>ST_Intersects</code> / <code>ST_Within</code> / <code>ST_Contains</code> / <code>ST_Touches</code></td>
      </tr>
      <tr>
          <td>距離 / 大小</td>
          <td><code>ST_Distance</code> / <code>ST_DWithin</code> / <code>ST_Length</code> / <code>ST_Area</code></td>
      </tr>
      <tr>
          <td>變換</td>
          <td><code>ST_Buffer</code> / <code>ST_Union</code> / <code>ST_Difference</code> / <code>ST_Intersection</code></td>
      </tr>
      <tr>
          <td>投影</td>
          <td><code>ST_Transform</code> / <code>ST_SetSRID</code></td>
      </tr>
      <tr>
          <td>格式轉換</td>
          <td><code>ST_AsGeoJSON</code> / <code>ST_AsKML</code> / <code>ST_AsText</code> / <code>ST_GeomFromGeoJSON</code></td>
      </tr>
      <tr>
          <td>路徑 / 拓樸</td>
          <td><code>ST_ShortestLine</code> / <code>ST_LineMerge</code></td>
      </tr>
      <tr>
          <td>聚合</td>
          <td><code>ST_Collect</code> / <code>ST_ConvexHull</code> / <code>ST_Centroid</code></td>
      </tr>
      <tr>
          <td>簡化</td>
          <td><code>ST_Simplify</code> / <code>ST_SimplifyPreserveTopology</code></td>
      </tr>
  </tbody>
</table>
<p><strong>Web tile 場景</strong>典型 query：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln">1</span><span class="cl"><span class="c1">-- 給定 z/x/y tile、找這個 tile 內的所有 POI
</span></span></span><span class="line"><span class="ln">2</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">id</span><span class="p">,</span><span class="w"> </span><span class="n">name</span><span class="p">,</span><span class="w"> </span><span class="n">ST_AsMVTGeom</span><span class="p">(</span><span class="n">location_3857</span><span class="p">,</span><span class="w"> </span><span class="n">ST_TileEnvelope</span><span class="p">(</span><span class="n">z</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">))</span><span class="w"> </span><span class="k">AS</span><span class="w"> </span><span class="n">geom</span><span class="w">
</span></span></span><span class="line"><span class="ln">3</span><span class="cl"><span class="w"></span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="w">
</span></span></span><span class="line"><span class="ln">4</span><span class="cl"><span class="w"></span><span class="k">WHERE</span><span class="w"> </span><span class="n">location_3857</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="n">ST_TileEnvelope</span><span class="p">(</span><span class="n">z</span><span class="p">,</span><span class="w"> </span><span class="n">x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="p">);</span></span></span></code></pre></div><p><code>ST_AsMVTGeom</code> + <code>ST_AsMVT</code> 直接產 Mapbox Vector Tile binary、給前端 Leaflet / Mapbox GL JS 用。</p>
<h2 id="5-個-production-踩雷">5 個 Production 踩雷</h2>
<h3 id="case-1geometry-用錯-srid">Case 1：Geometry 用錯 SRID</h3>
<p><strong>情境</strong>：app 寫入時用 4326、query 時用 3826 ST_Transform、忘記給某個 column 設 SRID、index 失效。</p>
<p>修法：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln"> 1</span><span class="cl"><span class="c1">-- 確認 SRID
</span></span></span><span class="line"><span class="ln"> 2</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_SRID</span><span class="p">(</span><span class="k">location</span><span class="p">)</span><span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="k">LIMIT</span><span class="w"> </span><span class="mi">1</span><span class="p">;</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 3</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln"> 4</span><span class="cl"><span class="w"></span><span class="c1">-- 強 type 約束（column type 寫死 SRID）
</span></span></span><span class="line"><span class="ln"> 5</span><span class="cl"><span class="c1"></span><span class="k">ALTER</span><span class="w"> </span><span class="k">TABLE</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="k">ALTER</span><span class="w"> </span><span class="k">COLUMN</span><span class="w"> </span><span class="k">location</span><span class="w"> </span><span class="k">TYPE</span><span class="w"> </span><span class="n">geometry</span><span class="p">(</span><span class="n">Point</span><span class="p">,</span><span class="w"> </span><span class="mi">4326</span><span class="p">)</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 6</span><span class="cl"><span class="w"></span><span class="k">USING</span><span class="w"> </span><span class="n">ST_SetSRID</span><span class="p">(</span><span class="k">location</span><span class="p">,</span><span class="w"> </span><span class="mi">4326</span><span class="p">);</span><span class="w">
</span></span></span><span class="line"><span class="ln"> 7</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln"> 8</span><span class="cl"><span class="w"></span><span class="c1">-- Check constraint 防錯
</span></span></span><span class="line"><span class="ln"> 9</span><span class="cl"><span class="c1"></span><span class="k">ALTER</span><span class="w"> </span><span class="k">TABLE</span><span class="w"> </span><span class="n">pois</span><span class="w"> </span><span class="k">ADD</span><span class="w"> </span><span class="k">CONSTRAINT</span><span class="w"> </span><span class="n">chk_location_srid</span><span class="w">
</span></span></span><span class="line"><span class="ln">10</span><span class="cl"><span class="w"></span><span class="k">CHECK</span><span class="w"> </span><span class="p">(</span><span class="n">ST_SRID</span><span class="p">(</span><span class="k">location</span><span class="p">)</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="mi">4326</span><span class="p">);</span></span></span></code></pre></div><h3 id="case-2geography-不能用所有-st_-函式">Case 2：Geography 不能用所有 ST_* 函式</h3>
<p><strong>情境</strong>：用 <code>geography</code> 想跑 <code>ST_Buffer</code>、報錯或結果不對。</p>
<p><code>ST_Buffer</code> 對 geography 走 spheroid 近似、邊界 case 結果跟 geometry 不一致；很多函式（<code>ST_Voronoi</code> / <code>ST_Delaunay</code> 等）只支援 geometry。</p>
<p>修法：</p>
<ul>
<li>簡單距離 query 用 geography</li>
<li>複雜空間運算用 geometry + 適合 projection</li>
<li>不確定哪些函式支援 geography、看 PostGIS docs <em>Geography Support Functions</em> 清單</li>
</ul>
<h3 id="case-3gist-index-不對-st_distance-生效">Case 3：GiST index 不對 ST_Distance 生效</h3>
<p><strong>情境</strong>：query <code>ST_Distance(location, ?) &lt; 1000</code>、<code>EXPLAIN</code> 顯示 full scan、加 index 也沒用。</p>
<p><code>ST_Distance</code> 算完才 filter、planner 沒辦法用 GiST。</p>
<p>修法：</p>
<ul>
<li>改 <code>ST_DWithin(location, ?, 1000)</code> — 語意一樣、會走 GiST</li>
<li>確認 index 是對 <em>被 query 的 column</em> 建的（不是 transform 後的 expression）</li>
</ul>
<h3 id="case-4cluster-on-geom-後-brin-失效">Case 4：CLUSTER on geom 後 BRIN 失效</h3>
<p><strong>情境</strong>：對 <code>pois</code> 跑 <code>CLUSTER pois USING idx_pois_geom</code> 想加速空間查、但同時對 <code>created_at</code> 用 BRIN index、BRIN 完全失效。</p>
<p>CLUSTER 重組 physical order 跟 GiST 對齊、<code>created_at</code> physical order correlation 從 1.0 變 0.0、BRIN range 沒選擇性。</p>
<p>修法：</p>
<ul>
<li>不要 CLUSTER 大表（一次性、影響其他 column）</li>
<li>換 partition by time + GiST per-partition（取兩者）</li>
<li>看 <a href="/blog/backend/01-database/vendors/postgresql/index-selection/" data-link-title="PostgreSQL Index Selection：B-tree / GIN / GiST / BRIN / Hash 對應 workload 的決策樹" data-link-desc="PG 有 6 種 index method（B-tree / Hash / GIN / GiST / SP-GiST / BRIN）跟 partial / expression / covering 三種變體、不是「都用 B-tree 就好」。每種 index 有自己的 query pattern、儲存代價、write amplification 跟 maintenance 成本。本文走 6 種 index 的適用 workload 對照、決策樹、partial / expression / covering / multi-column 變體、5 production 踩雷（過度 index / partial 條件不對 / B-tree 對 JSON 無效 / BRIN 對非 correlated 資料無效 / multi-column 順序錯）、跟 query-optimization 的 EXPLAIN 互補">index-selection</a> 的 BRIN 段</li>
</ul>
<h3 id="case-5ewkb-vs-wkb-跨工具相容">Case 5：EWKB vs WKB 跨工具相容</h3>
<p><strong>情境</strong>：用 PostGIS export 給其他 GIS 工具（QGIS / Shapely / ogr2ogr）、resort 抱怨格式不對。</p>
<p>PostGIS 內部用 EWKB（Extended Well-Known Binary）— 多帶 SRID。多數 GIS 工具讀 WKB（標準）。</p>
<p>修法：</p>





<div class="highlight"><pre tabindex="0" class="chroma"><code class="language-sql" data-lang="sql"><span class="line"><span class="ln">1</span><span class="cl"><span class="c1">-- Export 標準 WKB
</span></span></span><span class="line"><span class="ln">2</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_AsBinary</span><span class="p">(</span><span class="n">geom</span><span class="p">)</span><span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="p">;</span><span class="w">
</span></span></span><span class="line"><span class="ln">3</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln">4</span><span class="cl"><span class="w"></span><span class="c1">-- 或 GeoJSON（跨工具最相容）
</span></span></span><span class="line"><span class="ln">5</span><span class="cl"><span class="c1"></span><span class="k">SELECT</span><span class="w"> </span><span class="n">ST_AsGeoJSON</span><span class="p">(</span><span class="n">geom</span><span class="p">)</span><span class="w"> </span><span class="k">FROM</span><span class="w"> </span><span class="n">pois</span><span class="p">;</span><span class="w">
</span></span></span><span class="line"><span class="ln">6</span><span class="cl"><span class="w">
</span></span></span><span class="line"><span class="ln">7</span><span class="cl"><span class="w"></span><span class="c1">-- 或 Shapefile via ogr2ogr
</span></span></span><span class="line"><span class="ln">8</span><span class="cl"><span class="c1">-- ogr2ogr -f &#34;ESRI Shapefile&#34; output.shp PG:&#34;...&#34; -sql &#34;SELECT * FROM pois&#34;</span></span></span></code></pre></div><h2 id="跟專業-gis-db-對比">跟專業 GIS DB 對比</h2>
<table>
  <thead>
      <tr>
          <th>維度</th>
          <th>PostGIS</th>
          <th>Oracle Spatial</th>
          <th>SQL Server geography</th>
          <th>MongoDB GeoJSON</th>
      </tr>
  </thead>
  <tbody>
      <tr>
          <td>函式覆蓋</td>
          <td>1000+</td>
          <td>800+</td>
          <td>200+</td>
          <td>~20</td>
      </tr>
      <tr>
          <td>Raster 支援</td>
          <td>是</td>
          <td>是</td>
          <td>否</td>
          <td>否</td>
      </tr>
      <tr>
          <td>Topology</td>
          <td>是（PostGIS Topology）</td>
          <td>是</td>
          <td>否</td>
          <td>否</td>
      </tr>
      <tr>
          <td>3D 支援</td>
          <td>是（PostGIS SFCGAL）</td>
          <td>是</td>
          <td>部分</td>
          <td>否</td>
      </tr>
      <tr>
          <td>License</td>
          <td>GPL</td>
          <td>商業</td>
          <td>商業</td>
          <td>開源</td>
      </tr>
      <tr>
          <td>Tile generation</td>
          <td>內建（ST_AsMVT）</td>
          <td>否</td>
          <td>否</td>
          <td>否</td>
      </tr>
      <tr>
          <td>跟 PG 整合</td>
          <td>完美</td>
          <td>跟 Oracle 一體</td>
          <td>跟 SQL Server 一體</td>
          <td>獨立</td>
      </tr>
      <tr>
          <td>工業界使用</td>
          <td>OpenStreetMap / 各國國土測繪</td>
          <td>大型企業</td>
          <td>Microsoft 生態</td>
          <td>簡單 location app</td>
      </tr>
  </tbody>
</table>
<p><strong>選 PostGIS 的場景</strong>（90% GIS workload）：</p>
<ul>
<li>Application 已用 PG</li>
<li>需要完整 GIS 函式生態（路網 / 等高線 / 流域分析）</li>
<li>開源 / cost 敏感</li>
<li>跟 OGR / GDAL / QGIS 互通</li>
</ul>
<p><strong>選專業 GIS DB 的場景</strong>：</p>
<ul>
<li>已綁定 Oracle / SQL Server license</li>
<li>極專業 GIS（3D 城市模型 / LIDAR / GPU 加速）</li>
<li>純 location app 不需 relational（MongoDB GeoJSON 足夠）</li>
</ul>
<h2 id="相關連結">相關連結</h2>
<ul>
<li><a href="/blog/backend/01-database/vendors/postgresql/extension-ecosystem/" data-link-title="PostgreSQL Extension Ecosystem：把 PG 變成 vector DB / time-series / sharded 的 plugin 生態" data-link-desc="PG 的 extension 機制不只是 plugin、是 *結構性產品線擴張* — pgvector 讓 PG 變 vector DB、TimescaleDB 變 time-series、Citus 變 sharded、PostGIS 變 GIS。本文走 PG extension lifecycle、6 個 production-critical extension（pg_stat_statements / pg_partman / pg_repack / pgvector / TimescaleDB / PostGIS）、5 production 踩雷（extension version 跟 PG version 對齊 / managed PG 限制 / upgrade order / shared_preload_libraries 衝突 / extension 跟 logical replication 互動）、cloud vendor 對 extension 的限制">extension-ecosystem</a>：其他 PG extension</li>
<li><a href="/blog/backend/01-database/vendors/postgresql/index-selection/" data-link-title="PostgreSQL Index Selection：B-tree / GIN / GiST / BRIN / Hash 對應 workload 的決策樹" data-link-desc="PG 有 6 種 index method（B-tree / Hash / GIN / GiST / SP-GiST / BRIN）跟 partial / expression / covering 三種變體、不是「都用 B-tree 就好」。每種 index 有自己的 query pattern、儲存代價、write amplification 跟 maintenance 成本。本文走 6 種 index 的適用 workload 對照、決策樹、partial / expression / covering / multi-column 變體、5 production 踩雷（過度 index / partial 條件不對 / B-tree 對 JSON 無效 / BRIN 對非 correlated 資料無效 / multi-column 順序錯）、跟 query-optimization 的 EXPLAIN 互補">index-selection</a>：GiST 跟其他 index 對比</li>
<li><a href="/blog/backend/01-database/vendors/postgresql/query-optimization/" data-link-title="PostgreSQL Query Optimization：EXPLAIN ANALYZE / pg_hint_plan / auto_explain 三層工具跟 4 個 case" data-link-desc="PG query 慢的根因常是 *planner 選錯 plan 或 statistics 過時*。本文從 4 個 production case 開場（seq scan vs index / hash vs nested loop / 多 column 統計缺 / parallel query 沒觸發）、走 EXPLAIN / EXPLAIN ANALYZE / auto_explain 三層工具、pg_hint_plan extension 跟 planner GUC 取捨、5 production 踩雷（ANALYZE 過時 / multi-column statistics / cost-base setting 不對齊硬體 / random_page_cost SSD 沒調 / parallel query 配置）、跟 MySQL query-optimization sibling 對比">query-optimization</a>：空間 query 的 EXPLAIN</li>
<li><a href="/blog/backend/01-database/vendors/postgresql/jsonb-deep-dive/" data-link-title="PostgreSQL JSONB Deep Dive：Binary Storage &#43; GIN Index 為什麼是結構性優勢" data-link-desc="PG JSONB（9.4&#43;）是 *binary 儲存的 JSON*、可直接 GIN index、是 PG 在 JSON workload 的結構性優勢、跟 MongoDB / MySQL 8.0 JSON_TABLE 比仍領先。本文走 JSON vs JSONB 差異、GIN index 機制（jsonb_ops vs jsonb_path_ops）、operator &#43; path query、partial JSONB indexing、5 production 踩雷（大 JSONB 跟 TOAST / nested update / index 選錯 op class / jsonb_path_query 跟 jsonb_path_exists 行為差 / partial index 條件搞錯）、何時用 JSONB vs 拆 column">jsonb-deep-dive</a>：POI metadata 用 JSONB 儲存</li>
</ul>
<h2 id="下一步">下一步</h2>
<ul>
<li>看 <a href="/blog/backend/01-database/vendors/postgresql/extension-ecosystem/" data-link-title="PostgreSQL Extension Ecosystem：把 PG 變成 vector DB / time-series / sharded 的 plugin 生態" data-link-desc="PG 的 extension 機制不只是 plugin、是 *結構性產品線擴張* — pgvector 讓 PG 變 vector DB、TimescaleDB 變 time-series、Citus 變 sharded、PostGIS 變 GIS。本文走 PG extension lifecycle、6 個 production-critical extension（pg_stat_statements / pg_partman / pg_repack / pgvector / TimescaleDB / PostGIS）、5 production 踩雷（extension version 跟 PG version 對齊 / managed PG 限制 / upgrade order / shared_preload_libraries 衝突 / extension 跟 logical replication 互動）、cloud vendor 對 extension 的限制">extension-ecosystem</a> 探索其他 PG 擴展可能</li>
<li>回 <a href="/blog/backend/01-database/vendors/postgresql/" data-link-title="PostgreSQL" data-link-desc="多用途 OLTP 主流關聯式資料庫、MVCC、豐富 SQL 特性、是 Aurora / Cosmos DB / Spanner / CockroachDB / Aurora DSQL 的相容目標">PostgreSQL overview</a> 看全圖</li>
</ul>
]]></content:encoded></item></channel></rss>