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Re: [Devel] Problems with bbox code and cubic bezier curves
From: |
Nathan Hurst |
Subject: |
Re: [Devel] Problems with bbox code and cubic bezier curves |
Date: |
Mon, 23 Apr 2001 15:25:17 +1000 (EST) |
Toby pointed out that the bounding box of a bezier can be computed by
computing the max and min of the x and y coords of the parametric equation
of the curve, which for a cubic would occur at either the end points or
the solutions of:
t^2[A-3B-C-3D] + t[2B+6D] + [C-3D]
where A,B,C,D are the x or y coords of the control points.
This requires 2 sqrts per curve, but I suspect that that would be cheaper
than an unknown number of splits?
njh
- [Devel] Problems with bbox code and cubic bezier curves, Tom Kacvinsky, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves, Tom Kacvinsky, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves,
Nathan Hurst <=
- Re: [Devel] Problems with bbox code and cubic bezier curves, Toby J Sargeant, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves, Tom Kacvinsky, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves, Toby J Sargeant, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves, Nathan Hurst, 2001/04/23
- Re: [Devel] Problems with bbox code and cubic bezier curves, Tom Kacvinsky, 2001/04/24
- Re: [Devel] Problems with bbox code and cubic bezier curves, Werner LEMBERG, 2001/04/23