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Theoretical distortion estimation in L-infinite wavelet-based coding of semi-regular meshes Host Publication: 20th European Signal Processing Conference Authors: R. Florea, L. Denis, J. Lievens, P. Schelkens and A. Munteanu Publisher: IEEE Publication Year: 2012 ISBN: 978-1-4673-1068-0
Abstract: Subdivision-based wavelet coding techniques yield state-of-the-art performance in scalable compression of semi-regular meshes. However, all these codecs make use of the LDŽ distortion metric, which gives only a good approximation of the global error produced by lossy coding of the wavelet coefficients. The L-infinite metric has been proven to be a suitable metric for applications where controlling the local, maximum error on each vertex is of critical importance. In this context, an upper bound formulation for the L-infinite distortion for a wavelet-based coding scheme operating on semi-regular meshes is derived. In addition, we propose a rate-distortion optimization algorithm that minimizes the rate for any target L-infinite distortion. It is shown that our L-infinite coding system outperforms the state-of-the-art and that an LDŽ driven coding approach for semi-regular meshes loses ground to its L-infinite driven version when the goal is to have a tight control on the local reconstruction error.
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