Conversion from Bézier rectangles to Bézier triangles

DOI10.1016/0010-4485(87)90149-7zbMath0655.65023OpenAlexW147391413MaRDI QIDQ1109498

Daniel J. Filip, Ronald N. Goldman

Publication date: 1987

Published in: CAD. Computer-Aided Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0010-4485(87)90149-7

zbMATH Keywords

algorithmscontrol verticesBézier triangleBézier rectangleBézier rectangular tensor product surface

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Algorithms for approximation of functions (65D15) Descriptive geometry (51N05)

Related Items (12)

Conversion of a triangular Bézier patch into three rectangular Bézier patches ⋮ Exact conversion from Bézier tetrahedra to Bézier hexahedra ⋮ Conversion between triangular Bézier patches and rectangular Bézier patches ⋮ Topologically consistent trimmed surface approximations based on triangular patches ⋮ Bernstein-Bézier finite elements on tetrahedral-hexahedral-pyramidal partitions ⋮ Isogeometric triangular Bernstein-Bézier discretizations: automatic mesh generation and geometrically exact finite element analysis ⋮ CAD-compatible structural shape optimization with a movable Bézier tetrahedral mesh ⋮ Triangular subpatches of rectangular Bézier surfaces ⋮ Triangular Bézier sub-surfaces on a triangular Bézier surface ⋮ \(G^{1}\) Bézier surface interpolation with T-junctions at a 3-valent singular vertex ⋮ Conversion between triangular and rectangular Bézier patches ⋮ Isogeometric analysis with Bézier tetrahedra

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