Journal
VISUAL COMPUTER
Volume 26, Issue 4, Pages 277-286Publisher
SPRINGER
DOI: 10.1007/s00371-009-0410-9
Keywords
Splines; PHT-splines; T-meshes; Basis function; Simplification
Categories
Funding
- National Key Basic Research Project of China [2004CB318000]
- NSF of China [60533060, 10671192, 10701069, 60903148]
- CAS
- Program for New Century Excellent Talents in University
- Specialized Research Fund for the Doctoral Program of Higher Education [20060358055]
- 111 Project [b07033]
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The present authors have introduced polynomial splines over T-meshes (PHT-splines) and provided theories and applications for PHT-splines over hierarchical T-meshes. This paper generalizes PHT-splines to arbitrary topology over general T-meshes with any structures (GPT-splines). GPT-spline surfaces can be constructed through a unified scheme to interpolate the local geometric information at the basis vertices of the T-mesh. We also discuss general edge insertion and removal algorithms for GPT-splines. As applications, we present algorithms to construct a GPT-spline surface from a quadrilateral mesh and to simplify a tensor-product B-spline surface into a GPT-spline surface with superfluous edges removal.
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