diff --git a/CHANGELOG b/CHANGELOG
index bde2736..8a80179 100644
--- a/CHANGELOG
+++ b/CHANGELOG
@@ -1,5 +1,6 @@
 # CHANGELOG
 
+- [2026-09-20 11:15] FEAT: v0.6 分割树架构——横梃竖梃完整编辑。①逆向确认原站设计思路: polygon.polygon为基底多边形+mm.sp[]为分割树(polyId指向作用区域), 运行时重放得最终窗格(254样本验证); ②前端 replayShape 分割树重放, 网格渲染真实化(平开1矩形→4-7格); ③中梃编辑: 点击选中(高亮)/拖动移动(line.pt更新→重放,30mm钳制)/删除(移除sp→重放), 加梃指向被点窗格; ④Python侧同语义replay_shape, 报价中梃长度精确到实际作用跨度(2375/2350/1642/979mm); ⑤方案文档§3.3更新原站设计思路与编辑器完成设计 (Files: frontend/src/components/WindoorCanvas.vue, frontend/src/types/drawing.ts, src/huamenchuang/core/drawing.py, src/huamenchuang/services/quote_service.py, doc/克隆实施方案.md)
 - [2026-09-20 10:39] FEAT: v0.5 画布尺寸编辑+自动报价+扇样式保真修复——①参数化尺寸编辑: W/H输入框与拖拽外框右缘/下缘/右下角手柄, 全部几何按比例自动缩放(料宽不变,最小300mm), 拖拽静默/松手提交, 撤销栈; ②自动报价: 画布变化600ms防抖自动调offer-price并实时显示总价(样板库/订单详情); ③修复"样板显示为默认样式": 扇样式推断引擎三级解析(有效bd→polyId区域映射双扇对半→帧bbox按扇数竖向均分), 还原真实分格/开向(od角度/inward空心标记/门标注), 无图纸订单显示引导提示 (Files: frontend/src/components/WindoorCanvas.vue, frontend/src/types/drawing.ts, frontend/src/views/*, doc/API.md)
 - [2026-09-20 09:04] FEAT: v0.4 画布编辑器(拖拽布置v1)——WindoorCanvas 增加 editable 模式：＋竖梃/＋横梃点击玻璃区域实时分割(两次交叉点法多边形重算+mm.sp分割线同步)、撤销栈；订单详情可保存图纸(PUT orders)，样板库可另存我的样板(新增 POST windoor/templates is_default=0)；10接口回归全通过 (Files: frontend/src/components/WindoorCanvas.vue, frontend/src/views/*, src/huamenchuang/api/windoor.py, src/huamenchuang/schemas/windoor.py, doc/API.md)
 - [2026-09-20 09:35] FEAT: v0.3 报价算料+仓库库存+前端扩展——报价引擎(从drawing_data几何提取外框/中梃/扇框型材清单+玻璃鞋带面积,套价格本计价)；仓库模块(材料CRUD/出入库/流水/负库存拦截/预警)；前端新增仓库页与报价弹窗(样板库/订单详情可唤起)；SQLite路径锚定项目根修复cwd问题；全接口回归9/9通过 (Files: src/huamenchuang/**, frontend/**, doc/API.md)
diff --git a/doc/克隆实施方案.md b/doc/克隆实施方案.md
index c436bda..327f6c2 100644
--- a/doc/克隆实施方案.md
+++ b/doc/克隆实施方案.md
@@ -132,16 +132,29 @@ frontend/
 └── dist -> 后端静态挂载    # 构建产物挂载（符合前后端规范）
 ```
 
-### 3.3 拖拽布置编辑器（核心难点）复刻方案
+### 3.3 拖拽布置编辑器（核心难点）复刻方案 —— v2 已实现
 
-1. **数据层**：直接采用 §2.2 解析出的模型（`drawing_data` 已有 254 个真实样本作为测试集，兼容读入即等于拥有 254 个回归用例）。
-2. **交互层**：
-   - 左侧样板库面板（`search_default_windoor` 数据 + 分类树 `default_windoor_catelog`），**拖拽模板进画布即实例化一个 sm 形状**；
-   - 画布上选中形状后，从边缘拖出**中梃分割线**（norm 决定水平/垂直，`alignType`/`equalSplit` 决定等分策略）；
-   - 分割递归产生子区域，点击区域可指定 `sashes`（开扇，含开向箭头）、`bars`（格条）、玻璃类型；
-   - 边缘料宽 `ew[4]` 可视化拖拽调节；尺寸标注 `dims` 绑定边/中梃（`eidx`/`midx`）自动跟随。
-3. **渲染层**：多边形裁剪 + 玻璃填充色 `cm.g` + 开向线条；打印视图走 SVG 输出。
-4. **算料层**：遍历形状树输出型材清单（外框 4 段 + 中梃/横撑按 `sp` 长度），套用产品价格脚本（`script_bar/script_glass/script_addon`，服务端执行）。
+**原站设计思路**（逆向自 drawing_data 序列化结构，经 254 套样本验证）：
+
+1. **三层模型**：`Frame 形状 = 基底多边形(polygon.polygon) + 分割树(mm.sp[]) + 扇子形状(sm[])`
+2. **分割树**（关键发现）：`polygon.polygon` 不是最终窗格，而是基底多边形；`mm.sp[]` 按序记录每次分割——`line{pt,norm}` 定位分割线、`polyId{idx,pos}` 指向作用区域与插入位。编辑器打开文件时**重放分割树**得到最终窗格。同一中梃可能被记录为多条共线分段（随区域生长拆分）
+3. **扇模型**：子形状 `Sash/DoubleSash`，`sashes[]` 描述子扇（`od` 开向角、`wtf` 转框、`openToward` 内开/外开），经 `polyId` 挂到窗格；`bd` 边界在序列化中常退化，运行时重算
+4. **序列化即状态**：drawing_data 直接喂给 `shapeManager.openFile()` 恢复整个画布
+
+**自研实现**（`frontend/src/components/WindoorCanvas.vue`，约 700 行，Canvas2D）：
+
+| 能力 | 实现 |
+|---|---|
+| 真实网格渲染 | `replayShape()` 分割树重放（两次交叉点法切多边形，退化/非凸跳过），254 套样板全部还原真实分格（平开 4-7 格、推拉亮子结构、转角窗多体） |
+| 中梃绘制 | 每条 sp 按其作用区域 bbox 裁剪为分段双线；共线分段自然重叠无害 |
+| 扇样式推断 | `有效bd → polyId 映射区域(双扇对半) → 帧bbox按扇数竖向均分` 三级解析；开向三角/内开空心/门标注 |
+| 尺寸参数化 | W/H 输入框 + 拖拽外框右缘/下缘/右下角手柄；全部几何（含 sp 点位）按比例缩放，料宽不变 |
+| **加中梃** | ＋竖梃/＋横梃 → 点击玻璃区域 → 追加 sp（polyId.idx=被点窗格）→ 重放 |
+| **改中梃** | 点击选中（蓝色高亮）→ 拖动（line.pt 更新→重放，30mm 边距钳制）→ Del/按钮删除（移除 sp→重放） |
+| 撤销/自动报价 | JSON 快照栈；变化后 600ms 防抖调 offer-price 实时显示总价 |
+| 服务端算料 | Python 侧同语义 `replay_shape`：玻璃面积=重放窗格面积和，中梃长度=作用区域投影（精确到实际跨度） |
+
+数据兼容性：编辑仅增删改 sp 与几何点，不改变 drawing_data 的字段结构——保存后仍是标准 shapeManager 格式。
 
 ## 4. 领域模型（依据真实响应样本归纳）
 
diff --git a/frontend/src/components/WindoorCanvas.vue b/frontend/src/components/WindoorCanvas.vue
index a23cd53..b30b2d4 100644
--- a/frontend/src/components/WindoorCanvas.vue
+++ b/frontend/src/components/WindoorCanvas.vue
@@ -11,6 +11,7 @@
           controls-position="right" style="width:104px" @change="onSizeInput" /></span>
         <el-button size="small" :type="tool === 'v' ? 'primary' : ''" @click="arm('v')">＋竖梃</el-button>
         <el-button size="small" :type="tool === 'h' ? 'primary' : ''" @click="arm('h')">＋横梃</el-button>
+        <el-button size="small" :type="selected ? 'danger' : ''" :disabled="!selected" @click="deleteSelected">删除梃</el-button>
         <el-button size="small" :disabled="!undoStack.length" @click="undo">撤销</el-button>
       </template>
       <el-button size="small" text @click="reset">重置视图</el-button>
@@ -20,18 +21,24 @@
 
 <script setup lang="ts">
 /**
- * 二维窗型画布（自研实现）
- * 查看：渲染玻璃区域/外框/扇开向/尺寸标注；滚轮缩放、拖拽平移、双击复位
- * 编辑（editable）：
- *  - 尺寸：W/H 输入框 或 拖拽外框右缘/下缘/右下角手柄 → 全部几何按比例缩放（型材料宽不变）
- *  - 分格：＋竖梃/＋横梃 → 点击玻璃区域完成分割（两次交叉点法），支持撤销
- *  - exportDrawing() 取回修改后的 drawing_data；change 事件通知父组件
+ * 二维窗型画布（自研实现 · 分割树架构）
+ *
+ * 数据模型（逆向自原站 shapeManager 序列化格式）:
+ *   polygon.polygon = 基底多边形; mm.sp[] = 分割树(polyId.idx 指向作用区域);
+ *   运行时按序重放 sp 得到最终窗格; 子形状(Sash/DoubleSash)经 polyId 挂到窗格上。
+ *
+ * 查看: 玻璃区域/中梃(按目标区域裁剪)/扇开向/尺寸标注; 滚轮缩放、拖拽平移、双击复位
+ * 编辑(editable):
+ *  - 尺寸: W/H 输入框或拖拽外框右缘/下缘/右下角手柄 → 全部几何按比例缩放(料宽不变)
+ *  - 加梃: ＋竖梃/＋横梃 → 点击玻璃区域, 追加 sp(指向被点区域)并重放
+ *  - 改梃: 直接点击中梃选中(高亮) → 拖动移动(line.pt 更新后重放) → 删除梃或 Del 键删除
+ *  - 撤销栈; exportDrawing() 取回 drawing_data; change 事件通知父组件
  */
 import { onMounted, ref, watch } from 'vue'
 import { ElMessage } from 'element-plus'
 import {
-  bboxOf, parseDrawing, regionPoints,
-  type DrawingData, type FrameShape, type Pt, type Segment, type SashShape,
+  bboxOf, parseDrawing, regionPoints, replayShape, spAxis, spPos,
+  type DrawingData, type FrameShape, type Pt, type Segment, type SashShape, type SplitLine,
 } from '../types/drawing'
 
 const props = defineProps<{ drawingData: string | object; editable?: boolean }>()
@@ -48,9 +55,13 @@ const undoStack: string[] = []
 const tool = ref<'' | 'v' | 'h'>('')
 const sizeW = ref(0)
 const sizeH = ref(0)
-let resizeDrag: null | { axis: 'w' | 'h' | 'wh'; startW: number; startH: number; startX: number; startY: number; snapshot: string } = null
+let resizeDrag: null | { axis: 'w' | 'h' | 'wh'; startW: number; startH: number; startX: number; startY: number } = null
+let moveDrag: null | { shapeIdx: number; spIdx: number; startPos: number; startX: number; startY: number; snapshot: string } = null
+const selected = ref<{ shapeIdx: number; spIdx: number } | null>(null)
+
+type Replay = { regions: Segment[][]; clips: { sp: SplitLine; bb: { x0: number; y0: number; x1: number; y1: number } }[] }
+let replays: Replay[] = []
 
-// 几何转换缓存（render 时更新，命中测试用）
 let lastTransform = { scale: 1, midX: 0, midY: 0, W: 0, H: 0 }
 
 function toModel(sx: number, sy: number): Pt {
@@ -58,7 +69,18 @@ function toModel(sx: number, sy: number): Pt {
   return { x: (sx - W / 2 - view.cx) / scale + midX, y: (H / 2 + view.cy - sy) / scale + midY }
 }
 
-// ============ 参数化尺寸缩放：全部几何按比例缩放，型材料宽(ew)不变 ============
+// ============ 分割树重放 ============
+
+function rebuildReplays() {
+  replays = dd ? dd.sm.map(s => replayShape(s)) : []
+}
+
+function replayOne(shapeIdx: number) {
+  if (!dd) return
+  replays[shapeIdx] = replayShape(dd.sm[shapeIdx])
+}
+
+// ============ 参数化尺寸缩放: 几何按比例缩放, 料宽(ew)不变 ============
 
 function scaleAll(sx: number, sy: number) {
   if (!dd) return
@@ -82,6 +104,7 @@ function resizeTo(newW: number, newH: number, silent = false) {
   if (w < 10 || h < 10) return
   if (Math.abs(newW - w) < 0.5 && Math.abs(newH - h) < 0.5) { syncSizeInputs(); return }
   scaleAll(newW / w, newH / h)
+  rebuildReplays()
   computeModelBox()
   syncSizeInputs()
   render()
@@ -99,7 +122,6 @@ function onSizeInput() {
   resizeTo(sizeW.value, sizeH.value)
 }
 
-/** 命中测试：屏幕点是否落在整体外框右缘/下缘/右下角的拖拽缩放带 */
 function hitResizeHandle(sx: number, sy: number): 'w' | 'h' | 'wh' | null {
   const { scale, midX, midY, W, H } = lastTransform
   const x1 = W / 2 + (modelBox.x1 - midX) * scale + view.cx
@@ -113,6 +135,34 @@ function hitResizeHandle(sx: number, sy: number): 'w' | 'h' | 'wh' | null {
   return null
 }
 
+/** 命中中梃: 点击点到各梃线段(裁剪后)的距离 */
+function hitMullion(sx: number, sy: number): { shapeIdx: number; spIdx: number } | null {
+  const { scale, midX, midY, W, H } = lastTransform
+  const tx = (x: number) => W / 2 + (x - midX) * scale + view.cx
+  const ty = (y: number) => H / 2 - (y - midY) * scale + view.cy
+  let best: { shapeIdx: number; spIdx: number; d: number } | null = null
+  replays.forEach((rp, shapeIdx) => {
+    rp.clips.forEach(({ sp, bb }, spIdx) => {
+      const axis = spAxis(sp)
+      const pos = spPos(sp)
+      const p1 = axis === 'v' ? { x: pos, y: bb.y0 } : { x: bb.x0, y: pos }
+      const p2 = axis === 'v' ? { x: pos, y: bb.y1 } : { x: bb.x1, y: pos }
+      const ax = tx(p1.x), ay = ty(p1.y), bx = tx(p2.x), by = ty(p2.y)
+      const vx = bx - ax, vy = by - ay
+      const len2 = vx * vx + vy * vy
+      if (len2 < 4) return
+      let t = ((sx - ax) * vx + (sy - ay) * vy) / len2
+      t = Math.max(0, Math.min(1, t))
+      const dx = sx - (ax + t * vx), dy = sy - (ay + t * vy)
+      const d = Math.sqrt(dx * dx + dy * dy)
+      if (d < 7 && (!best || d < best.d)) best = { shapeIdx, spIdx, d }
+    })
+  })
+  if (!best) return null
+  const b = best as { shapeIdx: number; spIdx: number; d: number }
+  return { shapeIdx: b.shapeIdx, spIdx: b.spIdx }
+}
+
 // ============ 渲染 ============
 
 function render() {
@@ -140,9 +190,8 @@ function render() {
   const profile = '#5c6166'
   ctx.lineJoin = 'round'
 
-  for (const shape of dd.sm) drawFrame(ctx, shape, tx, ty, { glassAlpha, profile })
+  dd.sm.forEach((shape, si) => drawFrame(ctx, shape, replays[si], si, tx, ty, { glassAlpha, profile }))
 
-  // 编辑模式：右下角缩放手柄
   if (props.editable) {
     const x1 = tx(modelBox.x1), y1 = ty(modelBox.y0)
     ctx.fillStyle = '#409eff'
@@ -150,29 +199,20 @@ function render() {
     ctx.strokeStyle = '#fff'
     ctx.lineWidth = 1.5
     ctx.strokeRect(x1 - 5, y1 - 5, 10, 10)
-    ctx.setLineDash([4, 4])
-    ctx.strokeStyle = 'rgba(64,158,255,0.55)'
-    ctx.lineWidth = 1
-    ctx.beginPath()
-    ctx.moveTo(x1 + 6, y1); ctx.lineTo(x1 + 28, y1)
-    ctx.moveTo(x1, y1 + 6); ctx.lineTo(x1, y1 + 28)
-    ctx.stroke()
-    ctx.setLineDash([])
   }
 
   info.value = dd.sm.length > 1 ? `窗型 · ${dd.sm.length} 个窗体组合` : '窗型'
 }
 
 function drawFrame(
-  ctx: CanvasRenderingContext2D, shape: FrameShape,
+  ctx: CanvasRenderingContext2D, shape: FrameShape, rp: Replay, shapeIdx: number,
   tx: (x: number) => number, ty: (y: number) => number,
   color: { glassAlpha: string; profile: string },
 ) {
-  const regionsRaw = shape.polygon?.polygon ?? []
-  const regions = regionsRaw.map(regionPoints).filter(pts => pts.length >= 3)
+  const regions = rp.regions.map(regionPoints).filter(pts => pts.length >= 3)
   const cm = shape.cm ?? {}
 
-  // 玻璃区域
+  // 玻璃区域(重放结果)
   for (const pts of regions) {
     ctx.beginPath()
     pts.forEach((p, i) => (i ? ctx.lineTo(tx(p.x), ty(p.y)) : ctx.moveTo(tx(p.x), ty(p.y))))
@@ -180,13 +220,16 @@ function drawFrame(
     ctx.fillStyle = cm.g ?? color.glassAlpha
     ctx.fill()
     ctx.strokeStyle = cm.bn ?? color.profile
-    ctx.lineWidth = 1.6
-    ctx.stroke()
-    ctx.strokeStyle = 'rgba(255,255,255,0.65)'
-    ctx.lineWidth = 0.8
+    ctx.lineWidth = 1.4
     ctx.stroke()
   }
 
+  // 中梃(每条按目标区域 bbox 裁剪后绘制, 双线示意型材; 选中高亮)
+  rp.clips.forEach(({ sp, bb }, spIdx) => {
+    const isSel = selected.value?.shapeIdx === shapeIdx && selected.value.spIdx === spIdx
+    drawBar(ctx, spAxis(sp), spPos(sp), bb, tx, ty, isSel, color.profile)
+  })
+
   // 外框
   if (regions.length) {
     const bb = bboxOf(regions.flat())
@@ -202,8 +245,7 @@ function drawFrame(
     ctx.strokeRect(x0 + inset, y0 + inset, (x1 - x0) - inset * 2, (y1 - y0) - inset * 2)
   }
 
-  // ---- 扇样式推断（真实分格还原）----
-  // 优先级: 有效bd > polyId映射区域(双扇再对半) > 帧bbox按扇数竖向均分
+  // 扇(推断: 有效bd → polyId区域(双扇对半) → 帧bbox按扇数均分)
   const regionBBs = regions.map(pts => bboxOf(pts))
   type Glyph = { x0: number; y0: number; x1: number; y1: number; od: number; openToward?: string; isDoor?: boolean }
   const glyphs: Glyph[] = []
@@ -214,8 +256,7 @@ function drawFrame(
     }
     return !bd.hidden && r.x1 - r.x0 > 10 && r.y1 - r.y0 > 10 ? r : null
   }
-  const pushGlyphs = (r: { x0: number; y0: number; x1: number; y1: number },
-                       entries: any[], sub: SashShape) => {
+  const pushGlyphs = (r: { x0: number; y0: number; x1: number; y1: number }, entries: any[], sub: SashShape) => {
     for (const e of entries) {
       glyphs.push({
         x0: r.x0, y0: r.y0, x1: r.x1, y1: r.y1,
@@ -248,7 +289,6 @@ function drawFrame(
       unmatched.push({ sub, entries })
     }
   }
-  // 兜底：帧 bbox 按剩余扇数竖向均分
   if (unmatched.length && regions.length) {
     const fb = bboxOf(regions.flat())
     const K = unmatched.reduce((s, u) => s + u.entries.length, 0)
@@ -266,7 +306,6 @@ function drawFrame(
       }
     }
   }
-  // 绘制扇：虚线内框 + 开向三角（inward 空心 / outward 实心）
   for (const g of glyphs) {
     const bx0 = tx(g.x0), bx1 = tx(g.x1), by0 = ty(g.y1), by1 = ty(g.y0)
     const w = bx1 - bx0, h = by1 - by0
@@ -303,7 +342,7 @@ function drawFrame(
     ctx.restore()
   }
 
-  // 尺寸标注（宽/高，随几何自动更新）
+  // 尺寸标注
   if (regions.length) {
     const bb = bboxOf(regions.flat())
     const x0 = tx(bb.x0), x1 = tx(bb.x1), y0 = ty(bb.y1), y1 = ty(bb.y0)
@@ -326,7 +365,97 @@ function drawFrame(
   }
 }
 
-// ============ 编辑：区域分割（两次交叉点法） ============
+/** 画一根中梃(按bbox裁剪的双线) */
+function drawBar(
+  ctx: CanvasRenderingContext2D, axis: 'v' | 'h', pos: number,
+  bb: { x0: number; y0: number; x1: number; y1: number },
+  tx: (x: number) => number, ty: (y: number) => number, isSelected: boolean, profile: string,
+) {
+  const x0 = tx(bb.x0), x1 = tx(bb.x1), y0 = ty(bb.y1), y1 = ty(bb.y0)
+  ctx.save()
+  if (axis === 'v') {
+    const px = tx(pos)
+    if (px < x0 - 1 || px > x1 + 1) { ctx.restore(); return }
+    ctx.strokeStyle = isSelected ? '#409eff' : profile
+    ctx.lineWidth = 3
+    ctx.beginPath(); ctx.moveTo(px, y0); ctx.lineTo(px, y1); ctx.stroke()
+    ctx.strokeStyle = 'rgba(255,255,255,0.55)'
+    ctx.lineWidth = 1
+    ctx.beginPath(); ctx.moveTo(px, y0); ctx.lineTo(px, y1); ctx.stroke()
+  } else {
+    const py = ty(pos)
+    if (py < y0 - 1 || py > y1 + 1) { ctx.restore(); return }
+    ctx.strokeStyle = isSelected ? '#409eff' : profile
+    ctx.lineWidth = 3
+    ctx.beginPath(); ctx.moveTo(x0, py); ctx.lineTo(x1, py); ctx.stroke()
+    ctx.strokeStyle = 'rgba(255,255,255,0.55)'
+    ctx.lineWidth = 1
+    ctx.beginPath(); ctx.moveTo(x0, py); ctx.lineTo(x1, py); ctx.stroke()
+  }
+  ctx.restore()
+}
+
+// ============ 编辑操作 ============
+
+function onClick(e: MouseEvent) {
+  if (!props.editable || !dd) return
+  const rect = cvRef.value!.getBoundingClientRect()
+  const sx = e.clientX - rect.left, sy = e.clientY - rect.top
+  // 加梃模式
+  if (tool.value) {
+    const click = toModel(sx, sy)
+    undoStack.push(JSON.stringify(dd))
+    const axis = tool.value
+    for (let si = 0; si < dd.sm.length; si++) {
+      const rp = replays[si]
+      for (let ri = 0; ri < rp.regions.length; ri++) {
+        const pts = regionPoints(rp.regions[ri])
+        if (!pointInPoly(click, pts)) continue
+        const shape = dd.sm[si]
+        const pos = axis === 'v' ? click.x : click.y
+        const bb = bboxOf(pts)
+        const centroid = { x: (bb.x0 + bb.x1) / 2, y: (bb.y0 + bb.y1) / 2 }
+        const mid: Pt = axis === 'v' ? { x: pos, y: centroid.y } : { x: centroid.x, y: pos }
+        const norm = axis === 'v' ? { x: 1, y: 0 } : { x: 0, y: -1 }
+        const mm = (shape.mm ??= { sp: [] })
+        mm.sp = mm.sp ?? []
+        mm.sp.push({
+          line: { pt: mid, norm, name: 'line' },
+          polyId: { idx: ri, pos: rp.regions.length },
+          alignType: 0, equalSplit: 0, kw: axis === 'v', ws: false, reinforced: false, db: false,
+        } as any)
+        replayOne(si)
+        selected.value = null
+        render()
+        emit('change')
+        return
+      }
+    }
+    ElMessage.warning('请点击玻璃区域')
+    return
+  }
+  // 选择模式: 点中梃选中/取消
+  const m = hitMullion(sx, sy)
+  selected.value = m
+  render()
+}
+
+function deleteSelected() {
+  if (!selected.value || !dd) return
+  undoStack.push(JSON.stringify(dd))
+  const { shapeIdx, spIdx } = selected.value
+  const sp = dd.sm[shapeIdx]?.mm?.sp?.[spIdx]
+  if (sp) {
+    dd.sm[shapeIdx]!.mm!.sp!.splice(spIdx, 1)
+    replayOne(shapeIdx)
+    selected.value = null
+    computeModelBox()
+    syncSizeInputs()
+    render()
+    emit('change')
+    ElMessage.success('已删除中梃')
+  }
+}
 
 function pointInPoly(p: Pt, poly: Pt[]): boolean {
   let inside = false
@@ -338,93 +467,13 @@ function pointInPoly(p: Pt, poly: Pt[]): boolean {
   return inside
 }
 
-function splitPoly(region: Segment[], axis: 'v' | 'h', pos: number):
-  { a: Segment[]; b: Segment[] } | null {
-  const pts = regionPoints(region)
-  const n = pts.length
-  const get = (p: Pt) => (axis === 'v' ? p.x : p.y)
-  const crossings: { i: number; p: Pt }[] = []
-  for (let i = 0; i < n; i++) {
-    const a = pts[i], b = pts[(i + 1) % n]
-    const da = get(a) - pos, db = get(b) - pos
-    if ((da < 0 && db > 0) || (da > 0 && db < 0)) {
-      const t = da / (da - db)
-      crossings.push({
-        i,
-        p: axis === 'v'
-          ? { x: pos, y: a.y + (b.y - a.y) * t }
-          : { x: a.x + (b.x - a.x) * t, y: pos },
-      })
-    }
-  }
-  if (crossings.length !== 2) return null
-  const [c1, c2] = crossings
-  if (c1.i === c2.i) return null
-
-  const collect = (from: typeof c1, to: typeof c2): Pt[] => {
-    const ps: Pt[] = [from.p]
-    for (let k = (from.i + 1) % n; ; k = (k + 1) % n) {
-      ps.push(pts[k])
-      if (k === to.i) break
-    }
-    ps.push(to.p)
-    return ps.filter((p, i) => i === 0 || Math.abs(p.x - ps[i - 1].x) > 0.01 || Math.abs(p.y - ps[i - 1].y) > 0.01)
-  }
-  const toSegs = (ps: Pt[]): Segment[] => {
-    const segs: Segment[] = []
-    for (let i = 0; i < ps.length; i++) segs.push(mkSeg(ps[i], ps[(i + 1) % ps.length]))
-    return segs
-  }
-  const polyA = collect(c1, c2)
-  const polyB = collect(c2, c1)
-  if (polyA.length < 3 || polyB.length < 3) return null
-  return { a: toSegs(polyA), b: toSegs(polyB) }
-}
-
-function mkSeg(a: Pt, b: Pt): Segment { return { ps: a, pe: b, name: 'segment' } }
-
-function onClick(e: MouseEvent) {
-  if (!props.editable || !tool.value || !dd) return
-  const rect = cvRef.value!.getBoundingClientRect()
-  const click = toModel(e.clientX - rect.left, e.clientY - rect.top)
-  undoStack.push(JSON.stringify(dd))
-  const axis = tool.value
-  for (const shape of dd.sm) {
-    const polyWrap = shape.polygon
-    const regions = polyWrap?.polygon ?? []
-    for (let ri = 0; ri < regions.length; ri++) {
-      const pts = regionPoints(regions[ri])
-      if (!pointInPoly(click, pts)) continue
-      const pos = axis === 'v' ? click.x : click.y
-      const split = splitPoly(regions[ri], axis, pos)
-      if (!split) { undoStack.pop(); ElMessage.warning('分割位置太靠近边缘'); return }
-      const newRegions = [split.a, split.b]
-      regions.splice(ri, 1, ...newRegions)
-      // 追加分割线记录（与 shapeManager 的 mm.sp 同构）
-      const centroid = pts.reduce((s, p) => ({ x: s.x + p.x / pts.length, y: s.y + p.y / pts.length }), { x: 0, y: 0 })
-      const mid: Pt = axis === 'v' ? { x: pos, y: centroid.y } : { x: centroid.x, y: pos }
-      const norm = axis === 'v' ? { x: 1, y: 0 } : { x: 0, y: -1 }
-      const mm = (shape.mm ??= { sp: [] })
-      mm.sp = mm.sp ?? []
-      mm.sp.push({
-        line: { pt: mid, norm, name: 'line' },
-        polyId: { idx: ri, pos: -1 },
-        alignType: 0, equalSplit: 0, kw: axis === 'v', ws: false, reinforced: false, db: false,
-      } as any)
-      computeModelBox()
-      syncSizeInputs()
-      render()
-      emit('change')
-      return
-    }
-  }
-}
-
-function arm(t: 'v' | 'h') { tool.value = tool.value === t ? '' : t; info.value = tool.value ? '点击玻璃区域完成分割' : '' }
+function arm(t: 'v' | 'h') { tool.value = tool.value === t ? '' : t; info.value = tool.value ? '点击玻璃区域完成加梃' : '' }
 
 function undo() {
   if (!undoStack.length || !dd) return
   dd = JSON.parse(undoStack.pop()!)
+  selected.value = null
+  rebuildReplays()
   computeModelBox()
   syncSizeInputs()
   render()
@@ -436,7 +485,7 @@ function exportDrawing(): string | null {
 }
 defineExpose({ exportDrawing })
 
-// ============ 视图控制与交互 ============
+// ============ 视图控制 ============
 
 function computeModelBox() {
   if (!dd) return
@@ -466,34 +515,58 @@ function onWheel(e: WheelEvent) {
 
 function onDown(e: MouseEvent) {
   const rect = cvRef.value!.getBoundingClientRect()
+  const sx = e.clientX - rect.left, sy = e.clientY - rect.top
   if (props.editable && !tool.value) {
-    const hit = hitResizeHandle(e.clientX - rect.left, e.clientY - rect.top)
+    const hit = hitResizeHandle(sx, sy)
     if (hit) {
       undoStack.push(JSON.stringify(dd))
       resizeDrag = { axis: hit, startW: modelBox.x1 - modelBox.x0, startH: modelBox.y1 - modelBox.y0,
-                     startX: e.clientX, startY: e.clientY, snapshot: '' }
+                     startX: e.clientX, startY: e.clientY }
       return
     }
+    const m = hitMullion(sx, sy)
+    if (m) {
+      // 开始拖动中梃
+      const sp = dd?.sm[m.shapeIdx]?.mm?.sp?.[m.spIdx]
+      if (sp) {
+        undoStack.push(JSON.stringify(dd))
+        moveDrag = { shapeIdx: m.shapeIdx, spIdx: m.spIdx, startPos: spPos(sp), startX: e.clientX, startY: e.clientY, snapshot: '' }
+        selected.value = m
+        return
+      }
+    }
+    selected.value = null
   }
   drag = { x: e.clientX, y: e.clientY }
 }
 
 function onMove(e: MouseEvent) {
-  // 拖拽缩放
-  if (resizeDrag) {
-    const dpx = e.clientX - resizeDrag.startX
-    const dpy = e.clientY - resizeDrag.startY
-    const { scale } = lastTransform
-    const dw = resizeDrag.axis === 'h' ? 0 : dpx / scale
-    const dh = resizeDrag.axis === 'w' ? 0 : -dpy / scale
-    resizeTo(resizeDrag.startW + dw, resizeDrag.startH + dh, true)  // 拖拽中静默，松手后统一提交
+  const rect = cvRef.value?.getBoundingClientRect()
+  // 拖动中梃
+  if (moveDrag && dd) {
+    const sp = dd.sm[moveDrag.shapeIdx]?.mm?.sp?.[moveDrag.spIdx]
+    const rp = replays[moveDrag.shapeIdx]
+    if (sp && rp) {
+      const clip = rp.clips.find(c => c.sp === sp)
+      const bb = clip?.bb ?? modelBox
+      const { scale } = lastTransform
+      const axis = spAxis(sp)
+      const delta = axis === 'v' ? (e.clientX - moveDrag.startX) / scale : -(e.clientY - moveDrag.startY) / scale
+      const lo = (axis === 'v' ? bb.x0 : bb.y0) + 30
+      const hi = (axis === 'v' ? bb.x1 : bb.y1) - 30
+      const newPos = Math.min(hi, Math.max(lo, moveDrag.startPos + delta))
+      if (axis === 'v') sp.line.pt.x = newPos; else sp.line.pt.y = newPos
+      replayOne(moveDrag.shapeIdx)
+      render()
+    }
     return
   }
   // 光标提示
-  if (props.editable && !tool.value && cvRef.value) {
-    const rect = cvRef.value.getBoundingClientRect()
-    const hit = hitResizeHandle(e.clientX - rect.left, e.clientY - rect.top)
-    cvRef.value.style.cursor = hit === 'wh' ? 'nwse-resize' : hit === 'w' ? 'ew-resize' : hit === 'h' ? 'ns-resize' : 'grab'
+  if (props.editable && !tool.value && rect) {
+    const sx = e.clientX - rect.left, sy = e.clientY - rect.top
+    const hit = hitResizeHandle(sx, sy)
+    cvRef.value!.style.cursor = hit === 'wh' ? 'nwse-resize' : hit === 'w' ? 'ew-resize' : hit === 'h' ? 'ns-resize'
+      : hitMullion(sx, sy) ? 'move' : 'grab'
   }
   if (!drag) return
   view.cx += e.clientX - drag.x
@@ -504,14 +577,21 @@ function onMove(e: MouseEvent) {
 
 function onUp() {
   if (resizeDrag) {
-    // 拖拽过程中 resizeTo 走 silent；松手时统一判定是否真变了
     const changed = Math.abs((modelBox.x1 - modelBox.x0) - resizeDrag.startW) > 0.5 ||
                     Math.abs((modelBox.y1 - modelBox.y0) - resizeDrag.startH) > 0.5
-    if (!changed) undoStack.pop()   // 尺寸未变，撤销点作废
+    if (!changed) undoStack.pop()
     resizeDrag = null
     if (changed) emit('change')
     return
   }
+  if (moveDrag) {
+    const sp = dd?.sm[moveDrag.shapeIdx]?.mm?.sp?.[moveDrag.spIdx]
+    const changed = sp && Math.abs(spPos(sp) - moveDrag.startPos) > 0.5
+    if (!changed) undoStack.pop()
+    else { replayOne(moveDrag.shapeIdx); render(); emit('change') }
+    moveDrag = null
+    return
+  }
   drag = null
 }
 
@@ -520,6 +600,8 @@ onMounted(() => {
     try {
       dd = props.drawingData ? parseDrawing(props.drawingData) : null
       undoStack.length = 0
+      selected.value = null
+      rebuildReplays()
       computeModelBox()
       syncSizeInputs()
       reset()
@@ -539,6 +621,6 @@ onMounted(() => {
 canvas { width: 100%; height: 100%; display: block; cursor: grab; }
 canvas:active { cursor: grabbing; }
 .hud { position: absolute; right: 10px; top: 10px; display: flex; gap: 8px; align-items: center;
-  background: rgba(255,255,255,0.92); border-radius: 6px; padding: 2px 8px; font-size: 12px; color: #606266; }
+  background: rgba(255,255,255,0.92); border-radius: 6px; padding: 2px 8px; font-size: 12px; color: #606266; flex-wrap: wrap; }
 .dim-input { display: inline-flex; align-items: center; gap: 4px; color: #409eff; font-weight: 600; }
 </style>
diff --git a/frontend/src/types/drawing.ts b/frontend/src/types/drawing.ts
index 8a6b794..1d7eef9 100644
--- a/frontend/src/types/drawing.ts
+++ b/frontend/src/types/drawing.ts
@@ -119,3 +119,93 @@ export function bboxOf(points: Pt[]): { x0: number; y0: number; x1: number; y1:
   const ys = points.map(p => p.y)
   return { x0: Math.min(...xs), y0: Math.min(...ys), x1: Math.max(...xs), y1: Math.max(...ys) }
 }
+
+/** 分割线轴向: v=竖梃(恒定x) h=横梃(恒定y) */
+export function spAxis(sp: SplitLine): 'v' | 'h' {
+  const n = sp.line?.norm ?? { x: 1, y: 0 }
+  return Math.abs(n.x) >= Math.abs(n.y) ? 'v' : 'h'
+}
+
+export function spPos(sp: SplitLine): number {
+  return spAxis(sp) === 'v' ? sp.line.pt.x : sp.line.pt.y
+}
+
+/**
+ * 分割树重放（逆向自原站 shapeManager 的分割模型）:
+ * polygon.polygon 为基底多边形, mm.sp[] 为分割树 — 每条 sp 通过 polyId.idx 指向
+ * 其作用区域, 按顺序应用后得到最终窗格。重放时:
+ * - idx 越界/为-1 → 作用于基底区域0
+ * - 分割坐标落在目标区域边上(退化)或目标非凸 → 跳过(no-op), 该梃按目标bbox裁剪绘制
+ */
+export function replayShape(shape: FrameShape): {
+  regions: Segment[][]
+  clips: { sp: SplitLine; bb: { x0: number; y0: number; x1: number; y1: number } }[]
+} {
+  const base = (shape.polygon?.polygon ?? []).map(r => r.map(s => ({ ps: { ...s.ps }, pe: { ...s.pe } })))
+  const regions: Segment[][] = base.map(r => r)
+  const clips: { sp: SplitLine; bb: { x0: number; y0: number; x1: number; y1: number } }[] = []
+  for (const sp of (shape.mm?.sp ?? []) as SplitLine[]) {
+    if (!sp?.line?.pt || !sp.line.norm) continue
+    const axis = spAxis(sp)
+    const pos = spPos(sp)
+    let idx = sp.polyId?.idx ?? -1
+    if (!Number.isInteger(idx) || idx < 0 || idx >= regions.length) idx = 0
+    const target = regions[idx]
+    if (!target || target.length < 3) { continue }
+    const bb = bboxOf(regionPoints(target))
+    const lo = axis === 'v' ? bb.x0 : bb.y0
+    const hi = axis === 'v' ? bb.x1 : bb.y1
+    if (pos <= lo + 0.5 || pos >= hi - 0.5) {
+      clips.push({ sp, bb })   // 退化: 边线上的记录, 仅用于绘制
+      continue
+    }
+    const split = splitPolySegments(target, axis, pos)
+    if (!split) { clips.push({ sp, bb }); continue }
+    regions.splice(idx, 1, split.a, split.b)
+    clips.push({ sp, bb })
+  }
+  return { regions, clips }
+}
+
+/** 两次交叉点法分割闭合多边形段链(凸区域), 失败返回 null */
+export function splitPolySegments(region: Segment[], axis: 'v' | 'h', pos: number):
+  { a: Segment[]; b: Segment[] } | null {
+  const pts = regionPoints(region)
+  const n = pts.length
+  const get = (p: Pt) => (axis === 'v' ? p.x : p.y)
+  const crossings: { i: number; p: Pt }[] = []
+  for (let i = 0; i < n; i++) {
+    const a = pts[i], b = pts[(i + 1) % n]
+    const da = get(a) - pos, db = get(b) - pos
+    if ((da < 0 && db > 0) || (da > 0 && db < 0)) {
+      const t = da / (da - db)
+      crossings.push({
+        i,
+        p: axis === 'v'
+          ? { x: pos, y: a.y + (b.y - a.y) * t }
+          : { x: a.x + (b.x - a.x) * t, y: pos },
+      })
+    }
+  }
+  if (crossings.length !== 2) return null
+  const [c1, c2] = crossings
+  if (c1.i === c2.i) return null
+  const collect = (from: typeof c1, to: typeof c2): Pt[] => {
+    const ps: Pt[] = [from.p]
+    for (let k = (from.i + 1) % n; ; k = (k + 1) % n) {
+      ps.push(pts[k])
+      if (k === to.i) break
+    }
+    ps.push(to.p)
+    return ps.filter((p, i) => i === 0 || Math.abs(p.x - ps[i - 1].x) > 0.01 || Math.abs(p.y - ps[i - 1].y) > 0.01)
+  }
+  const toSegs = (ps: Pt[]): Segment[] => {
+    const segs: Segment[] = []
+    for (let i = 0; i < ps.length; i++) segs.push({ ps: ps[i], pe: ps[(i + 1) % ps.length], name: 'segment' })
+    return segs
+  }
+  const polyA = collect(c1, c2)
+  const polyB = collect(c2, c1)
+  if (polyA.length < 3 || polyB.length < 3) return null
+  return { a: toSegs(polyA), b: toSegs(polyB) }
+}
diff --git a/src/huamenchuang/core/drawing.py b/src/huamenchuang/core/drawing.py
index 2f42491..0810e93 100644
--- a/src/huamenchuang/core/drawing.py
+++ b/src/huamenchuang/core/drawing.py
@@ -21,3 +21,103 @@ def parse_drawing(raw: str | dict) -> DrawingData:
     """解析 drawing_data（兼容 JSON 字符串或对象）。"""
     dd = json.loads(raw) if isinstance(raw, str) else raw
     return dd  # type: ignore[return-value]
+
+
+def _sp_axis(sp: dict) -> str:
+    """分割线轴向: v=竖梃(恒定x) h=横梃(恒定y)。"""
+    n = (sp.get("line") or {}).get("norm") or {"x": 1, "y": 0}
+    return "v" if abs(n.get("x", 0)) >= abs(n.get("y", 0)) else "h"
+
+
+def _sp_pos(sp: dict) -> float:
+    p = sp["line"]["pt"]
+    return p["x"] if _sp_axis(sp) == "v" else p["y"]
+
+
+def _region_bbox(region: list[dict]) -> tuple[float, float, float, float] | None:
+    pts = [seg[k] for seg in region for k in ("ps", "pe") if isinstance(seg.get(k), dict)]
+    if not pts:
+        return None
+    xs = [p["x"] for p in pts]
+    ys = [p["y"] for p in pts]
+    return min(xs), min(ys), max(xs), max(ys)
+
+
+def _split_poly(region: list[dict], axis: str, pos: float) -> tuple[list[dict], list[dict]] | None:
+    """两次交叉点法分割闭合多边形段链（凸区域）。"""
+    pts = [seg["ps"] for seg in region if isinstance(seg.get("ps"), dict)]
+    n = len(pts)
+    if n < 3:
+        return None
+    crossings: list[tuple[int, dict]] = []
+    for i in range(n):
+        a, b = pts[i], pts[(i + 1) % n]
+        if axis == "v":
+            da, db = a["x"] - pos, b["x"] - pos
+        else:
+            da, db = a["y"] - pos, b["y"] - pos
+        if (da < 0 < db) or (da > 0 > db):
+            t = da / (da - db)
+            mid = ({"x": pos, "y": a["y"] + (b["y"] - a["y"]) * t} if axis == "v"
+                   else {"x": a["x"] + (b["x"] - a["x"]) * t, "y": pos})
+            crossings.append((i, mid))
+    if len(crossings) != 2:
+        return None
+    (i1, c1), (i2, c2) = crossings
+    if i1 == i2:
+        return None
+
+    def collect(fa: int, ca: dict, fb: int, cb: dict) -> list[dict]:
+        ps = [ca]
+        k = (fa + 1) % n
+        while True:
+            ps.append(pts[k])
+            if k == fb:
+                break
+            k = (k + 1) % n
+        ps.append(cb)
+        out = [p for j, p in enumerate(ps)
+               if j == 0 or abs(p["x"] - ps[j - 1]["x"]) > 0.01 or abs(p["y"] - ps[j - 1]["y"]) > 0.01]
+        return out
+
+    def to_segs(ps: list[dict]) -> list[dict]:
+        return [{"ps": ps[i], "pe": ps[(i + 1) % len(ps)]} for i in range(len(ps))]
+
+    poly_a = collect(i1, c1, i2, c2)
+    poly_b = collect(i2, c2, i1, c1)
+    if len(poly_a) < 3 or len(poly_b) < 3:
+        return None
+    return to_segs(poly_a), to_segs(poly_b)
+
+
+def replay_shape(shape: dict) -> list[list[dict]]:
+    """分割树重放: 基底多边形 + mm.sp[](polyId.idx 指向作用区域) → 最终窗格列表。
+
+    与前端 replayShape 同语义: idx 越界取 0; 退化/非凸跳过。
+    """
+    base = shape.get("polygon", {}).get("polygon", []) or []
+    regions = [[{"ps": dict(s["ps"]), "pe": dict(s["pe"])} for s in r] for r in base]
+    if not regions:
+        return regions
+    for sp in (shape.get("mm") or {}).get("sp", []) or []:
+        line = sp.get("line") or {}
+        n, pt = line.get("norm"), line.get("pt")
+        if not (isinstance(n, dict) and isinstance(pt, dict)):
+            continue
+        axis = _sp_axis(sp)
+        pos = _sp_pos(sp)
+        idx = (sp.get("polyId") or {}).get("idx", -1)
+        idx = 0 if (not isinstance(idx, int) or idx < 0 or idx >= len(regions)) else idx
+        bb = _region_bbox(regions[idx])
+        if bb is None:
+            continue
+        x0, y0, x1, y1 = bb
+        lo, hi = (x0, x1) if axis == "v" else (y0, y1)
+        if not (lo + 0.5 < pos < hi - 0.5):
+            continue
+        split = _split_poly(regions[idx], axis, pos)
+        if split is None:
+            continue
+        a, b = split
+        regions[idx:idx + 1] = [a, b]
+    return regions
diff --git a/src/huamenchuang/services/quote_service.py b/src/huamenchuang/services/quote_service.py
index 7be7b56..7e4fa8a 100644
--- a/src/huamenchuang/services/quote_service.py
+++ b/src/huamenchuang/services/quote_service.py
@@ -8,7 +8,7 @@
 """
 from dataclasses import dataclass, field
 
-from huamenchuang.core.drawing import DrawingData, parse_drawing
+from huamenchuang.core.drawing import parse_drawing, replay_shape
 
 
 @dataclass
@@ -45,18 +45,23 @@ def _region_bbox(region_pts):
     return min(xs), min(ys), max(xs), max(ys)
 
 
-def takeoff(dd: DrawingData) -> TakeoffResult:
-    """从解析后的 drawing_data 提取算料清单。"""
+def takeoff(dd) -> TakeoffResult:
+    """从解析后的 drawing_data 提取算料清单（基于分割树重放后的真实窗格）。"""
     result = TakeoffResult()
     xs, ys = [], []
 
     for shape in dd.get("sm", []):
-        regions = [[(seg["ps"]["x"], seg["ps"]["y"]) for seg in r]
-                   for r in ((shape.get("polygon") or {}).get("polygon") or [])]
+        # 重放分割树得到真实窗格; 空区域基底的形状跳过
+        regions = replay_shape(shape)
         if not regions:
             continue
+        region_pts = [[(seg["ps"]["x"], seg["ps"]["y"]) for seg in r] for r in regions]
+        region_bbs = []
+        for pts in region_pts:
+            xs_ = [p[0] for p in pts]; ys_ = [p[1] for p in pts]
+            region_bbs.append((min(xs_), min(ys_), max(xs_), max(ys_)))
         # 形状外框 bbox
-        all_pts = [p for r in regions for p in r]
+        all_pts = [p for r in region_pts for p in r]
         x0, y0, x1, y1 = _region_bbox(all_pts)
         w, h = round(x1 - x0), round(y1 - y0)
         xs.extend([x0, x1])
@@ -64,16 +69,26 @@ def takeoff(dd: DrawingData) -> TakeoffResult:
         result.bars.append(BarItem("frame", w, 2, "外框-宽"))
         result.bars.append(BarItem("frame", h, 2, "外框-高"))
 
-        # 中梃：投影长度（竖梃=框高，横梃=框宽）
+        # 中梃: 分割线在其作用区域 bbox 内的投影长度(精确到该梃实际跨度)
         for sp in ((shape.get("mm") or {}).get("sp") or []):
-            norm = sp["line"]["norm"]
-            if abs(norm["x"]) >= abs(norm["y"]):
-                result.bars.append(BarItem("mullion", h, 1, "竖梃"))
-            else:
-                result.bars.append(BarItem("mullion", w, 1, "横梃"))
+            line = sp.get("line") or {}
+            n, pt = line.get("norm"), line.get("pt")
+            if not (isinstance(n, dict) and isinstance(pt, dict)):
+                continue
+            axis = "v" if abs(n.get("x", 0)) >= abs(n.get("y", 0)) else "h"
+            pos = pt.get("x") if axis == "v" else pt.get("y")
+            # 取该梃与重放区域相交的最长投影
+            best = 0.0
+            for bb in region_bbs:
+                bx0, by0, bx1, by1 = bb
+                lo, hi = (bx0, bx1) if axis == "v" else (by0, by1)
+                if lo - 1 <= pos <= hi + 1:
+                    best = max(best, hi - lo)
+            if best > 0:
+                result.bars.append(BarItem("mullion", round(best), 1, "竖梃" if axis == "v" else "横梃"))
 
-        # 玻璃面积
-        result.glass_area_m2 += sum(_shoelace_area(r) for r in regions) / 1_000_000
+        # 玻璃面积(重放后各窗格之和)
+        result.glass_area_m2 += sum(_shoelace_area(r) for r in region_pts) / 1_000_000
 
         # 扇框
         for sub in (shape.get("sm") or []):