Shapely Compute

作者 parcadeid07ff4b06b62無授權條款3.9K 個星標收錄於 2026年10月8日更新於 2026年10月8日儲存庫8 個月前更新

Computational geometry with Shapely - create geometries, boolean operations, measurements, predicates

僅含說明Data & Analytics
AI 產生的概覽

使用 Shapely 進行計算幾何：建立幾何圖形、執行布林運算、測試空間謂詞並量測幾何物件。

功能
此技能說明使用 Shapely 進行計算幾何的命令列工作流程。內容涵蓋從座標字串或 WKT 建立點、線、多邊形及多重幾何物件，執行交集、聯集、差集、緩衝區、凸包與簡化等布林運算，測試包含、相交、位於內部等空間謂詞，以及計算面積、長度、距離、質心與邊界等量測值。它也支援仿射轉換、有效性檢查與修復、座標擷取與 WKT 解析，結果以 JSON 回傳。
適用情境
當任務涉及幾何圖形、空間關係或座標運算時使用，例如碰撞偵測、點在多邊形內判斷、面積或距離計算、緩衝區，以及圖形合併與相減。適合可用 WKT 或座標清單表達的幾何問題。
執行需求
需要 Shapely Python 套件，以及含 uv 的 Python 執行環境來執行所引用的指令碼；此技能本身僅含指示說明，未附帶指令碼或資源檔案。

Computational Geometry with Shapely

When to Use

  • Creating geometric shapes (points, lines, polygons)
  • Boolean operations (intersection, union, difference)
  • Spatial predicates (contains, intersects, within)
  • Measurements (area, length, distance, centroid)
  • Geometry transformations (translate, rotate, scale)
  • Validating and fixing invalid geometries

Quick Reference

I want to...CommandExample
Create geometrycreatecreate polygon --coords "0,0 1,0 1,1 0,1"
Intersectionop intersectionop intersection --g1 "POLYGON(...)" --g2 "POLYGON(...)"
Check containspred containspred contains --g1 "POLYGON(...)" --g2 "POINT(0.5 0.5)"
Calculate areameasure areameasure area --geom "POLYGON(...)"
Distancedistancedistance --g1 "POINT(0 0)" --g2 "POINT(3 4)"
Transformtransform translatetransform translate --geom "..." --params "1,2"
Validatevalidatevalidate --geom "POLYGON(...)"

Commands

create

Create geometric objects from coordinates.

bash
# Pointuv run python scripts/shapely_compute.py create point --coords "1,2"
# Line (2+ points)uv run python scripts/shapely_compute.py create line --coords "0,0 1,1 2,0"
# Polygon (3+ points, auto-closes)uv run python scripts/shapely_compute.py create polygon --coords "0,0 1,0 1,1 0,1"
# Polygon with holeuv run python scripts/shapely_compute.py create polygon --coords "0,0 10,0 10,10 0,10" --holes "2,2 8,2 8,8 2,8"
# MultiPointuv run python scripts/shapely_compute.py create multipoint --coords "0,0 1,1 2,2"
# MultiLineString (pipe-separated lines)uv run python scripts/shapely_compute.py create multilinestring --coords "0,0 1,1|2,2 3,3"
# MultiPolygon (pipe-separated polygons)uv run python scripts/shapely_compute.py create multipolygon --coords "0,0 1,0 1,1 0,1|2,2 3,2 3,3 2,3"

op (operations)

Boolean geometry operations.

bash
# Intersection of two polygonsuv run python scripts/shapely_compute.py op intersection \    --g1 "POLYGON((0 0,2 0,2 2,0 2,0 0))" \    --g2 "POLYGON((1 1,3 1,3 3,1 3,1 1))"
# Unionuv run python scripts/shapely_compute.py op union --g1 "POLYGON(...)" --g2 "POLYGON(...)"
# Difference (g1 - g2)uv run python scripts/shapely_compute.py op difference --g1 "POLYGON(...)" --g2 "POLYGON(...)"
# Symmetric difference (XOR)uv run python scripts/shapely_compute.py op symmetric_difference --g1 "..." --g2 "..."
# Buffer (expand/erode)uv run python scripts/shapely_compute.py op buffer --g1 "POINT(0 0)" --g2 "1.5"
# Convex hulluv run python scripts/shapely_compute.py op convex_hull --g1 "MULTIPOINT((0 0),(1 1),(0 2),(2 0))"
# Envelope (bounding box)uv run python scripts/shapely_compute.py op envelope --g1 "POLYGON(...)"
# Simplify (reduce points)uv run python scripts/shapely_compute.py op simplify --g1 "LINESTRING(...)" --g2 "0.5"

pred (predicates)

Spatial relationship tests (returns boolean).

bash
# Does polygon contain point?uv run python scripts/shapely_compute.py pred contains \    --g1 "POLYGON((0 0,2 0,2 2,0 2,0 0))" \    --g2 "POINT(1 1)"
# Do geometries intersect?uv run python scripts/shapely_compute.py pred intersects --g1 "..." --g2 "..."
# Is g1 within g2?uv run python scripts/shapely_compute.py pred within --g1 "POINT(1 1)" --g2 "POLYGON(...)"
# Do geometries touch (share boundary)?uv run python scripts/shapely_compute.py pred touches --g1 "..." --g2 "..."
# Do geometries cross?uv run python scripts/shapely_compute.py pred crosses --g1 "LINESTRING(...)" --g2 "LINESTRING(...)"
# Are geometries disjoint (no intersection)?uv run python scripts/shapely_compute.py pred disjoint --g1 "..." --g2 "..."
# Do geometries overlap?uv run python scripts/shapely_compute.py pred overlaps --g1 "..." --g2 "..."
# Are geometries equal?uv run python scripts/shapely_compute.py pred equals --g1 "..." --g2 "..."
# Does g1 cover g2?uv run python scripts/shapely_compute.py pred covers --g1 "..." --g2 "..."
# Is g1 covered by g2?uv run python scripts/shapely_compute.py pred covered_by --g1 "..." --g2 "..."

measure

Geometric measurements.

bash
# Area (polygons)uv run python scripts/shapely_compute.py measure area --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"
# Length (lines, polygon perimeter)uv run python scripts/shapely_compute.py measure length --geom "LINESTRING(0 0,3 4)"
# Centroiduv run python scripts/shapely_compute.py measure centroid --geom "POLYGON((0 0,2 0,2 2,0 2,0 0))"
# Bounds (minx, miny, maxx, maxy)uv run python scripts/shapely_compute.py measure bounds --geom "POLYGON(...)"
# Exterior ring (polygon only)uv run python scripts/shapely_compute.py measure exterior_ring --geom "POLYGON(...)"
# All measurements at onceuv run python scripts/shapely_compute.py measure all --geom "POLYGON((0 0,2 0,2 2,0 2,0 0))"

distance

Distance between geometries.

bash
uv run python scripts/shapely_compute.py distance --g1 "POINT(0 0)" --g2 "POINT(3 4)"# Returns: {"distance": 5.0, "g1_type": "Point", "g2_type": "Point"}

transform

Affine transformations.

bash
# Translate (move)uv run python scripts/shapely_compute.py transform translate \    --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "5,10"# params: dx,dy or dx,dy,dz
# Rotate (degrees, around centroid by default)uv run python scripts/shapely_compute.py transform rotate \    --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "45"# params: angle or angle,origin_x,origin_y
# Scale (from centroid by default)uv run python scripts/shapely_compute.py transform scale \    --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))" --params "2,2"# params: sx,sy or sx,sy,origin_x,origin_y
# Skewuv run python scripts/shapely_compute.py transform skew \    --geom "POLYGON(...)" --params "15,0"# params: xs,ys (degrees)

validate / makevalid

Check and fix geometry validity.

bash
# Check if validuv run python scripts/shapely_compute.py validate --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"# Returns: {"is_valid": true, "type": "Polygon", ...}
# Fix invalid geometry (self-intersecting, etc.)uv run python scripts/shapely_compute.py makevalid --geom "POLYGON((0 0,2 2,2 0,0 2,0 0))"

coords

Extract coordinates from geometry.

bash
uv run python scripts/shapely_compute.py coords --geom "POLYGON((0 0,1 0,1 1,0 1,0 0))"# Returns: {"coords": [[0,0],[1,0],[1,1],[0,1],[0,0]], "type": "Polygon"}

fromwkt

Parse WKT and get geometry information.

bash
uv run python scripts/shapely_compute.py fromwkt "POLYGON((0 0,1 0,1 1,0 1,0 0))"# Returns: {"type": "Polygon", "bounds": [...], "area": 1.0, ...}

Geometry Types

  • point - Single coordinate (x, y) or (x, y, z)
  • line/linestring - Sequence of connected points
  • polygon - Closed shape with optional holes
  • multipoint, multilinestring, multipolygon - Collections

Input Formats

  • Coordinates string: "0,0 1,0 1,1 0,1" (space-separated x,y pairs)
  • WKT: "POLYGON((0 0, 1 0, 1 1, 0 1, 0 0))"

Output Format

All commands return JSON with:

  • wkt: WKT representation of result geometry
  • type: Geometry type (Point, LineString, Polygon, etc.)
  • bounds: (minx, miny, maxx, maxy)
  • is_valid, is_empty: Validity flags
  • Measurement-specific fields (area, length, distance, etc.)

Common Use Cases

Use CaseCommand
Collision detectionpred intersects
Point-in-polygonpred contains
Area calculationmeasure area
Buffer zonesop buffer
Shape combinationop union
Shape subtractionop difference
Bounding boxop envelope or measure bounds
Simplify pathop simplify

Related Skills

  • /math-mode - Full math orchestration (SymPy, Z3)
  • /math-plot - Visualization with matplotlib

來源與署名

來源：parcadei/continuous-claude-v3位於.claude/skills/shapely-compute提交d07ff4b

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