Abstract :
Polar forms, which simplify the construction of polynomial and piecewise-polynomial curves and surfaces and lead to new surface representations and algorithms, are reviewed. The polar forms of polynomial curves, Bezier curves, and B-spline are discussed. Tensor product surfaces, the most popular surfaces in computer-aided geometric design, true surfaces, Bezier triangles, B-patches, and a triangular B-spline scheme that combines B-patches and simplex splines are also discussed.<>
Keywords :
computational geometry; piecewise polynomial techniques; splines (mathematics); B-patches; Bezier curves; Bezier triangles; computer-aided geometric design; new surface representations; piecewise-polynomial curves; polar forms; simplex splines; triangular B-spline scheme; true surfaces; Application software; Computer graphics; Interpolation; Labeling; Polynomials;
