Perfectly Awesome

Bezier Curves Primer (book links)

• Bezier Curve Primer (Barber)

  • Preface
  • Intro
  • Definition
  • Math
  • Curvature control
  • Curve control, pt2
  • Bezier intervals
  • Bezier curves as matrices
  • de Casteljau’s algorithm
  • Simplified drawing
  • Splitting curves
  • Splitting curves & matrices
  • Curve re-ordering
  • Derivatives
  • Tangents & normals
  • 3D normals
  • Component functions
  • Finding roots
  • Aligning curves
  • Bounding boxes
  • Bounding boxes (tight)
  • Curve inflections
  • Cubic curves - canonical form
  • Given Y, find X
  • Arc lengths
  • Arc lengths (approximated)
  • Curve curvature
  • Curve tracing - fixed intervals
  • Intersections
  • Curve intersections
  • Projection identity
  • Creating a curve from 3 points
  • Projecting a point to a Bezier curve
  • Circle intersections
  • Curve molding
  • Curve fitting
  • Catmull-Rom curves
  • Catmull-Rom curves from 3 points
  • poly-Bezier curves
  • Curve offsets
  • Curve offsets (graduated)
  • Circles & quadratic Bezier curves
  • Circular arcs
  • Approximating Bezier curves with circular arcs
  • B-Splines
  • Comments