Geometric Modeling Lectures
Unit 8 -- Subdivision Curves
Looking at curves in a different way!
We can use the matrix notation of a quadratic uniform B-spline curve to generate splitting matrices that separate the curve into two segments.
We can develop a subdivision/refinement procedure based on quadratic uniform B-spline curves that looks exactly like Chaikin's algorithm.
We can use the matrix notation of a cubic uniform B-spline curve to generate splitting matrices that separate the curve into two segments.
We can extend these methods to develop a subdivision/refinement procedure based on the cubic uniform B-spline curve.
We can classify points on the uniform cubic B-spline refinement in a simple way.
We can generate methods to directly calculate points on the curve, greatly simplifying the refinement process.
By modifying the procedure to directly generate points, we can directly calculate tangent vectors on the surfaces.
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