A new multiaffine approach to B-splines
Computer Aided Geometric Design
Computer Aided Geometric Design
Computer Aided Geometric Design
Blossoming and knot insertion algorithms for B-spline curves
Computer Aided Geometric Design
Dynamic manipulation of triangular B-splines
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Manifold splines with single extraordinary point
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Sliding windows algorithm for B-spline multiplication
Proceedings of the 2007 ACM symposium on Solid and physical modeling
User-controllable polycube map for manifold spline construction
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Manifold splines with a single extraordinary point
Computer-Aided Design
C∞ smooth freeform surfaces over hyperbolic domains
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Adaptive quasi-interpolating quartic splines
Computing - Geometric Modelling, Dagstuhl 2008
A normalized basis for quintic Powell--Sabin splines
Computer Aided Geometric Design
Convexity preserving splines over triangulations
Computer Aided Geometric Design
On multivariate polynomials in Bernstein-Bézier form and tensor algebra
Journal of Computational and Applied Mathematics
Geometric modeling for interpolation surfaces based on blended coordinate system
VSMM'06 Proceedings of the 12th international conference on Interactive Technologies and Sociotechnical Systems
Interpolation with quintic Powell-Sabin splines
Applied Numerical Mathematics
Interactive isosurfaces with quadratic C1 splines on truncated octahedral partitions
Information Visualization - Special issue on Visualization and Data Analysis 2011
Computation of polytopic invariants for polynomial dynamical systems using linear programming
Automatica (Journal of IFAC)
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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.