Bezier Curves (The Chickadee Game Toolkit)

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5.2.7 Bezier Curves

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The (chickadee math bezier) module provides an API for -describing cubic Bezier curves in 2D space. These curves are notably -used in font description, vector graphics programs, and when it comes -to games: path building. With Bezier curves, it’s somewhat easy to -create a smooth looking path for an enemy to move along, for example. -Bezier curves become particularly interesting when they are chained -together to form a Bezier “path”, where the end point of one curve -becomes the starting point of the next. -

Procedure: make-bezier-curve p0 p1 p2 p3: Return a new Bezier curve object whose starting point is p0, -ending point is p3, and control points are p1 and -p2. All points are 2D vectors. -

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Procedure: bezier-curve? obj: Return #t if obj is a Bezier curve. -

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Procedure: bezier-curve-p0 bezier: Return the starting point of bezier. -

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Procedure: bezier-curve-p1 bezier: Return the first control point of bezier. -

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Procedure: bezier-curve-p2 bezier: Return the second control point of bezier. -

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Procedure: bezier-curve-p3 bezier: Return the end point of bezier. -

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Procedure: bezier-path . control-points: Return a list of connected bezier curves defined by -control-points. The first curve is defined by the first 4 -arguments and every additional curve thereafter requires 3 additional -arguments. -

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Procedure: bezier-curve-point-at bezier t: Return the coordinates for bezier at t (a value in the -range [0, 1] representing how far from the start of the curve to -check) as a 2D vector. -

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Procedure: bezier-curve-point-at! dest bezier t: Modify the 2D vector dest in-place to contain the coordinates -for bezier at t. -

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