A survey of curve and surface methods in CAGD
Computer Aided Geometric Design
Conversion from Be´zier rectangles to Be´zier triangles
Computer-Aided Design
ACM Transactions on Graphics (TOG)
A general subdivision theorem for Be´zier triangles
Mathematical methods in computer aided geometric design
Functional composition algorithms via blossoming
ACM Transactions on Graphics (TOG)
Composition of tensor product Be´zier representations
Geometric modelling
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Conversion of a triangular Be´zier patch into three rectangular Be´zier patches
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Trimming Bézier surfaces on Bézier surfaces via blossoming
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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A formula is presented for describing triangular subpatches of rectangular Bezier surfaces. Calculations using it are numerically stable, since they are based on de Casteljau recursions and convex combinations of combinatorial constants. Several examples of quadratic, cubic and quartic subpatches are given, and the bi- and the quadripartition of a rectangular Bezier surface are discussed.