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> A Primer on Bézier Curves. A free, online book
VAL
Дата 13.10.2020 22:47
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A Primer on Bézier Curves. A free, online book for when you really need to know how to do Bézier things
Источник: https://pomax.github.io/bezierinfo/

QUOTE
Main content

    A lightning introduction
    So what makes a Bézier Curve?
    The mathematics of Bézier curves
    Controlling Bézier curvatures
    Controlling Bézier curvatures, part 2: Rational Béziers
    The Bézier interval [0,1]
    Bézier curvatures as matrix operations
    de Casteljau's algorithm
    Simplified drawing
    Splitting curves
    Splitting curves using matrices
    Lowering and elevating curve order
    Derivatives
    Tangents and normals
    Working with 3D normals
    Component functions
    Finding extremities: root finding
    Bounding boxes
    Aligning curves
    Tight bounding boxes
    Curve inflections
    The canonical form (for cubic curves)
    Finding Y, given X
    Arc length
    Approximated arc length
    Curvature of a curve
    Tracing a curve at fixed distance intervals
    Intersections
    Curve/curve intersection
    The projection identity
    Creating a curve from three points
    Projecting a point onto a Bézier curve
    Molding a curve
    Curve fitting
    Bézier curves and Catmull-Rom curves
    Creating a Catmull-Rom curve from three points
    Forming poly-Bézier curves
    Curve offsetting
    Graduated curve offsetting
    Circles and quadratic Bézier curves
    Circles and cubic Bézier curves
    Approximating Bézier curves with circular arcs
    B-Splines
    Comments and questions


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