Paper Info
Title
Trivariate solid T-spline construction from boundary triangulations with arbitrary genus topology
Abstract
A comprehensive scheme is described to construct rational trivariate solid T-splines from boundary triangulations with arbitrary topology. To extract the topology of the input geometry, we first compute a smooth harmonic scalar field defined over the mesh, and saddle points are extracted to determine the topology. By dealing with the saddle points, a polycube whose topology is equivalent to the input geometry is built, and it serves as the parametric domain for the trivariate T-spline. A polycube mapping is then used to build a one-to-one correspondence between the input triangulation and the polycube boundary. After that, we choose the deformed octree subdivision of the polycube as the initial T-mesh, and make it valid through pillowing, quality improvement and applying templates to handle extraordinary nodes and partial extraordinary nodes. The T-spline that is obtained is C^2-continuous everywhere over the boundary surface except for the local region surrounding polycube corner nodes. The efficiency and robustness of the presented technique are demonstrated with several applications in isogeometric analysis.
Year
DOI
Venue
2013
10.1016/j.cad.2012.10.018
Computer-Aided Design
Keywords
Field
DocType
input triangulation,extraordinary node,boundary triangulations,saddle point,boundary surface,polycube corner node,polycube boundary,arbitrary topology,arbitrary genus topology,trivariate solid t-spline construction,input geometry,polycube mapping
Topology,Saddle point,Polycube,Isogeometric analysis,Parametric statistics,Subdivision,Triangulation (social science),T-spline,Mathematics,Octree
Journal
Volume
Issue
ISSN
45
2
0010-4485
Citations 
PageRank 
References 
18
0.95
15
Authors
4
Name
Order
Citations
PageRank
Wenyan Wang1458.13
Yongjie Zhang229334.45
Lei Liu3473.00
Thomas J. R. Hughes420825.49