The Bezout number for linear piecewise algebraic curves
Computers & Mathematics with Applications
ACM SIGGRAPH 2010 papers
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
On the instability in the dimension of splines spaces over T-meshes
Computer Aided Geometric Design
Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
THB-splines: The truncated basis for hierarchical splines
Computer Aided Geometric Design
Approximation power of polynomial splines on T-meshes
Computer Aided Geometric Design
On Hermite interpolation with polynomial splines on T-meshes
Journal of Computational and Applied Mathematics
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Computer graphics and computer-aided design communities prefer piecewise spline patches to represent surfaces. But keeping the smoothness between the adjacent patches is a challenging task. In this paper, we present a method for stitching several surface patches, which is a key step in complicated surface modeling, with polynomial splines over hierarchical T-meshes (PHT-spline for short). The method is simple and can be easily applied to complex surface modeling. With the method, spline surfaces can be constructed efficiently and adaptively to fit genus-zero meshes after their spherical parameterization is obtained, where only small sized linear systems of equations are involved.