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2012

Restricted Trivariate Polycube Splines for Volumetric Data Modeling

7 years 2 months ago
Restricted Trivariate Polycube Splines for Volumetric Data Modeling
—This paper presents a volumetric modeling framework to construct a novel spline scheme called restricted trivariate polycube splines (RTP-splines). The RTP-spline aims to generalize both trivariate T-splines and tensor-product B-splines; it uses solid polycube structure as underlying parametric domains and strictly bounds blending functions within such domains. We construct volumetric RTP-splines in a top-down fashion in four steps: 1) Extending the polycube domain to its bounding volume via space filling; 2) building the B-spline volume over the extended domain with restricted boundaries; 3) inserting duplicate knots by adding anchor points and performing local refinement; and 4) removing exterior cells and anchors. Besides local refinement inherited from general Tsplines, the RTP-splines have a few attractive properties as follows: 1) They naturally model solid objects with complicated topologies/ bifurcations using a one-piece continuous representation without domain trimming/pat...
Kexiang Wang, Xin Li, Bo Li 0014, Huanhuan Xu, Hon
Added 28 Sep 2012
Updated 28 Sep 2012
Type Journal
Year 2012
Where TVCG
Authors Kexiang Wang, Xin Li, Bo Li 0014, Huanhuan Xu, Hong Qin
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