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

pixel grid · optical alignment

24×24 아이콘은 정수·half-pixel 좌표에 맞춰야 1× 디스플레이에서 선이 흐릿하지 않습니다.

데모에서 볼 것

DEMO_ICON_D = M 4.3 8.7 L 12.1 3.9 L 19.8 8.2 L 17.5 20.3 L 6.9 20.1 Z
  • 24×24 격자 (×8 preview)
  • 회색 점선 — raw d
  • 파란 — snapPathDToIconGrid 후
  • half-pixel snap 체크박스
  • stroke 슬라이더 → nearestCrispStrokeWidth

readout: stroke request → crisp=1 | 1.5 | 2, snapped d.

스냅 API

import {
  snapPointToIconGrid,
  snapPathDToIconGrid,
  snapToHalfPixel,
  nearestCrispStrokeWidth,
  CRISP_ICON_STROKES,
  ICON_GRID_PRESETS
} from "svg-matrix-core";

const p = snapPointToIconGrid({ x: 12.3, y: 7.8 }, true);
// halfPixel=true → snapToHalfPixel (×2 round / 2)

const { d, segments } = snapPathDToIconGrid(pathD, true);
halfPixel동작
true0.5 step (1px stroke crisp)
falseMath.round 정수

stroke width

nearestCrispStrokeWidth(1.25);  // → 1 | 1.5 | 2

CRISP_ICON_STROKES = [1, 1.5, 2] — ICON_GRID_PRESETS 16/20/24.

viewBox="0 0 24 24"   // 관례

optical alignment

수학적 중심 ≠ 시각적 중심 — 원·△은 0.5px shift가 흔합니다. 격자 위 raw vs snapped를 나란히 비교하세요.

파이프라인

design → snapPathDToIconGrid → export SVG
       → (optional) [047](./lesson-047.md) simplify

Core API

함수역할
snapPointToIconGrid점 스냅
snapPathDToIconGrid전체 d
nearestCrispStrokeWidthcrisp width
snapToHalfPixel스칼라

관련

  • 045 · 047 · 050

오늘의 핵심

아이콘 = geometry + 격자 스냅. simplify 전에 snap하는 경우가 많습니다.

최근 수정: 26. 5. 17. PM 4:35
Contributors: jinho.park.s3, Cursor
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fill vs stroke icons