Paper
30 October 1997 Optimal wavelet decomposition of wire-frame meshes using box splines
Michael G. Strintzis, Sotiris Malassiotis
Author Affiliations +
Abstract
Optimal mechanisms are determined for the hierarchical decomposition of wire-frame surfaces. A family of box- splines with compact support, suitable for the approximation of wire-frames is first defined, generated by arbitrary sampling matrices with integer eigenvalues. For each such box-spline, the optimal positioning of the wire-frame nodes is determined for each level of the hierarchical wire-frame decomposition. Criterion of optimality is the minimization of the variance of the error difference between the original surface and its representation at each resolution level. This is needed so as to ensure that the wire mesh produces at each resolution as close a replica of the original surface as possible. The application of the proposed scheme to the hierarchical coding of 3D wire meshes is experimentally evaluated.
© (1997) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Michael G. Strintzis and Sotiris Malassiotis "Optimal wavelet decomposition of wire-frame meshes using box splines", Proc. SPIE 3169, Wavelet Applications in Signal and Image Processing V, (30 October 1997); https://doi.org/10.1117/12.292808
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Wavelets

Matrices

RELATED CONTENT


Back to Top