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Bezier Curves Primer (book links)
This post is in progress. It will be fleshed out as time permits.
Bezier Curve Primer (Barber)
Preface
Intro
Definition
Math
Curvature control
Curve control, pt2
Bezier intervals
Bezier curves as matrices
de Casteljauâ€™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
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