Generalizing Lifted Tensor-Product Wavelets to Irregular Polygonal Domains

Conference · Thu Apr 11 00:00:00 EDT 2002

DOI:https://doi.org/10.1007/978-1-4615-1177-9_20· OSTI ID:802820

Bertram, M; Duchaineau, M A; Hamann, B; Joy, K I

We present a new construction approach for symmetric lifted B-spline wavelets on irregular polygonal control meshes defining two-manifold topologies. Polygonal control meshes are recursively refined by stationary subdivision rules and converge to piecewise polynomial limit surfaces. At every subdivision level, our wavelet transforms provide an efficient way to add geometric details that are expanded from wavelet coefficients. Both wavelet decomposition and reconstruction operations are based on local lifting steps and have linear-time complexity.

• Research Organization: Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States)
• Sponsoring Organization: USDOE Office of Defense Programs (DP) (US)
• DOE Contract Number: W-7405-Eng-48
• OSTI ID: 802820
• Report Number(s): UCRL-JC-147950; TRN: US200302%%106
• Resource Relation: Conference: Dagstuhl Seminar 00211 Scientific Visualization, Saarbrucken (DE), 05/21/2000--05/26/2000; Other Information: PBD: 11 Apr 2002
• Country of Publication: United States
• Language: English

Related Subjects

99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
CONSTRUCTION
POLYNOMIALS
TENSORS
TOPOLOGY
LAWRENCE LIVERMORE NATIONAL LABORATORY