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 L-2 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 L-2 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.
Florea, R-M, Denis, L, Lievens, J, Schelkens, P & Munteanu, A 2012, Theoretical distortion estimation in L-infinite wavelet-based coding of semi-regular meshes. in Proceedings of the 20th European Signal Processing Conference (EUSIPCO). IEEE, pp. 764-768, 20th European Signal Processing Conference, Bucharest, Romania, 21/08/12.
Florea, R.-M., Denis, L., Lievens, J., Schelkens, P., & Munteanu, A. (2012). Theoretical distortion estimation in L-infinite wavelet-based coding of semi-regular meshes. In Proceedings of the 20th European Signal Processing Conference (EUSIPCO) (pp. 764-768). IEEE.
@inproceedings{2f5e74ec19514fc7bc7da8e944f6e866,
title = "Theoretical distortion estimation in L-infinite wavelet-based coding of semi-regular meshes",
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 L-2 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 L-2 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.",
keywords = "L-infinite coding, semi-regular mesh compression",
author = "Ruxandra-Marina Florea and Leon Denis and Jan Lievens and Peter Schelkens and Adrian Munteanu",
year = "2012",
language = "English",
isbn = "978-1-4673-1068-0",
pages = "764--768",
booktitle = "Proceedings of the 20th European Signal Processing Conference (EUSIPCO)",
publisher = "IEEE",
note = "20th European Signal Processing Conference, EUSIPCO ; Conference date: 21-08-2012 Through 27-08-2012",
url = "http://www.eusipco2012.org",
}