SVG Graphics Geometry
Guide
css-matrix
Guide
css-matrix
  • Part 0. SVG 기초

    • SVG란 무엇인가
    • viewBox와 user space
    • transform attribute와 matrix
    • SVG 문서 구조와 기본 도형
  • Part 1. Path grammar

    • path d 명령어 — M, L, Z
    • H, V — 축 정렬 직선
    • C — cubic Bézier
    • Q — quadratic Bézier
    • S, T — smooth continuation
    • A — elliptical arc
    • path bounding box
  • Part 2. Stroke geometry

    • 점에서 stroke까지의 거리
    • join, cap, miter limit
    • stroke align과 outline 개념
    • miter length 공식
  • Part 3. Fill rules

    • nonzero vs evenodd
    • fill hit testing
  • Part 4. Path sampling

    • flatten tolerance
    • path length
    • point at length와 tangent
  • Part 5. Paint servers

    • linearGradient 좌표
    • clipPath와 mask 개념
  • Part 6. Path editor capstone

    • path handle 모델
    • handle hit testing
    • handle drag로 segment 갱신
    • mini path editor — SVG round-trip
  • Part 7. Fill & winding deep dive

    • winding vs ray casting
    • compound path — 여러 subpath
    • self-intersection
    • path boolean
    • fill vs stroke hit 우선순위
    • scanline parity
  • Part 8. Pattern & gradient

    • radialGradient
    • pattern tile
    • gradientUnits와 spreadMethod
  • Part 9. SVG filter & Figma effects

    • Figma DROP_SHADOW → SVG filter
    • filter chain 개요
    • blur · offset · merge
    • inner shadow
    • layer blur vs background blur
    • Figma effect 매핑표 전체
  • Part 10. Figma ↔ SVG bridge

    • vector network vs path d
    • fill · stroke export
    • boolean operations export
    • mask · clip export
  • Part 11. Icon design

    • pixel grid · optical alignment
    • fill vs stroke icons
    • symbol · sprite · currentColor
    • path simplification
  • Appendix A. SVG in CSS

    • currentColor · CSS theming
    • sprite data URI
    • SVG optimization pipeline
  • Appendix B. Engine extras

    • dash offset animation
    • adaptive flatten
    • arc → cubic 변환
    • multi-subpath editing
  • Part 12. Foundations primer

    • capability map
    • coordinate stack
  • Part 13. Figma ↔ SVG (deep)

    • Figma paint gap map
    • radial · angular gradient export
    • image · pattern fill
    • stroke align export
    • blend mode · layer opacity
  • Part 14. SVG spec breadth

    • markers — 화살표와 dash 끝
    • text · textPath
    • paint-order · opacity · filters
    • arc flatten 통합
  • Part 15. Curve calculus

    • de Casteljau subdivision
    • flatness와 chord error
    • 곡률 κ와 법선
    • arc center parameterization
    • G¹ smooth — S와 T
    • shoelace signed area
  • Part 16. Intersection & proximity

    • segment intersection
    • line ∩ cubic · curve ∩ curve
    • closest point on curve
  • Part 17. Offset curves

    • normal offset sampling
    • offset cusps
  • Part 18. Transform algebra

    • affine inverse & decompose
    • transform path vs group
  • Part 19. Rational curves

    • circle as cubic — κ constant
    • rational curves & exact arcs
  • Part 20. Tessellation & pixels

    • convex triangulation · ear clipping
    • evenodd parity → pixels
  • Part 21. Compositing math

    • Gaussian blur kernel
    • Porter–Duff & premultiplied α
  • Part 22. Math topic map

    • SVG 수학 주제 지도
  • Part 23. SVG animation

    • SMIL — animate 속성
    • SMIL — animateTransform
    • SMIL — animateMotion
    • stroke dash draw-on
    • CSS offset-path motion
    • path morph
    • JS motion along path
  • Part 24. Motion precision

    • uniform speed along path
    • cubic–cubic intersection
    • SVGPathElement length API
    • SMIL keyTimes & keySplines
    • degree elevation Q→C
  • Part 25. GPU mesh & WAAPI

    • triangulation with holes
    • WAAPI + SVG attributes
    • evenodd fill + triangle mesh

path handle 모델

편집기는 d 문자열 대신 segment graph 위의 handle 배열을 그립니다. 003 parse → 편집 → 023 update → serialize.

데모에서 볼 것

초기 path (024 editor와 동일):

M 80 280 C 120 80, 520 360, 560 120

createPathEditor — allowDrag: false (읽기 전용 handle 표시).

readout:

d="…"
handles (N):
a:0 [anchor] (80.0, 280.0)
c1:1 [control] (…)
c2:1 [control] (…)
a:1 [anchor] (…)
…
anchor = vertex on path
control = Bézier handle
  • 파란 curve + 회색 control hull 점선
  • 주황 anchor, 초록 control 점

segment → handles

import { pathFromD, listPathHandles } from "svg-matrix-core";

const { segments, d } = pathFromD(
  "M 80 280 C 120 80, 520 360, 560 120"
);
const handles = listPathHandles(segments);
segmenthandles (listPathHandles)
Ma:i anchor @ point
La:i anchor @ to
Cc1:i, c2:i, a:i @ cp1, cp2, to
Qc:i, a:i

handle id 형식: role:segmentIndex (예 c1:1, a:2).

// 예
{ id: "c1:1", kind: "control", role: "cp1", segmentIndex: 1, point: { x, y } }
{ id: "a:1", kind: "anchor", segmentIndex: 1, point: { x, y } }

008 cubic 네 점과 1:1 — UI는 kind로 스타일 분기.

round-trip

import { pathDFromSegments, syncPathEndpoints } from "svg-matrix-core";

const dOut = pathDFromSegments(segments);
// 편집 후에도 d 복원

pathFromD(d);  // parse + syncPathEndpoints 내장

편집 루프 (023):

pointerdown → hitTestPathHandles(point, handles, radius)
           → updatePathHandle(segments, handleId, newPoint)
           → syncPathEndpoints
           → pathDFromSegments → <path d="…">

hitTestPathHandles는 handles 배열을 받습니다 — segments가 아님 (022).

compound

여러 subpath: listSubpathHandles — id s0:a:1 (054 engine-adaptive 데모).

vs storage

계층표현
SVG filed 문자열
Figmavector network (vertices + handles)
svg-matrix editorsegments[] + listPathHandles

import: parsePathD / Figma → segments. export: pathDFromSegments 또는 convertArcsInPathD (053).

Core API

함수역할
pathFromD, pathFromSegmentsparse + sync + d
listPathHandlesUI handle 목록
hitTestPathHandlespick (handles 배열)
updatePathHandledrag → segments 갱신
pathDFromSegmentsserialize

관련

  • 003 · 008 · 022 · 023 · 024 editor capstone

오늘의 핵심

Figma vector = handles + segment types. UI는 listPathHandles로 그리고, 저장은 pathDFromSegments입니다. 편집 수학은 008 segment와 동일합니다.

최근 수정: 26. 5. 17. PM 4:35
Contributors: jinho.park.s3, Cursor
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handle hit testing