Title: Lifting wavelet algorithm for freeform surface filtering using a Gaussian prediction operator

Authors: X. Jiang; H.S. Abdul-Rahman; P.J. Scott

Addresses: EPSRC Centre for Innovative Manufacturing in Advanced Metrology, Centre for Precision Technologies, School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3DH, UK ' EPSRC Centre for Innovative Manufacturing in Advanced Metrology, Centre for Precision Technologies, School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3DH, UK ' EPSRC Centre for Innovative Manufacturing in Advanced Metrology, Centre for Precision Technologies, School of Computing and Engineering, University of Huddersfield, Huddersfield HD1 3DH, UK

Abstract: The aim of the paper is to investigate a novel lifting wavelet algorithm based on a Gaussian prediction operator to filter freeform surfaces represented by 3D triangular meshes. The proposed algorithm is based upon the lifting scheme where wavelet decomposition is implemented using three major operators; the split, predict and update operator. This paper proposes a novel prediction operator based on a Gaussian function. The proposed algorithm is used to filter computer generated and real freeform surfaces and the results are compared with another lifting wavelet algorithm based on mesh relaxation prediction. Comparison shows that a Gaussian prediction operator achieved smoother results for the same decomposition levels.

Keywords: freeform surfaces; Gaussian prediction; lifting wavelet; filtering; surface metrology; 3D triangular meshes; mesh relaxation prediction.

DOI: 10.1504/IJPTECH.2013.057052

International Journal of Precision Technology, 2013 Vol.3 No.3, pp.244 - 260

Available online: 06 Oct 2013 *

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