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An algorithmic approach to degree reduction of B-spline curves is presented. The method consists of the following steps: (a) decompose the B-spline curve into Bezier pieces on the fly, (b) degree reduce each Bezier piece, and (c) remove the unnecessary knots. A complete algorithm and precise error control are provided.
The modelling of surfaces by piecewise bipolynomial patches has important applications in computer-aided design and computer graphics. However, existing methods do not always work for control polyhedra with arbitrary topology. A method is proposed that uses only piecewise biquartics which will work for control polyhedra with mostly quadrilateral faces and isolated n-sided faces (n ≠ 4). The surfaces...
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