Optimal wavelet decomposition of wire-frame meshes using box splines

Michael G. Strintzis; Sotiris Malassiotis

doi:10.1117/12.292808

30 October 1997 Optimal wavelet decomposition of wire-frame meshes using box splines

Michael G. Strintzis, Sotiris Malassiotis

Proceedings Volume 3169, Wavelet Applications in Signal and Image Processing V; (1997) https://doi.org/10.1117/12.292808
Event: Optical Science, Engineering and Instrumentation '97, 1997, San Diego, CA, United States

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.

Citation Download Citation

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

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