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Issue No. 03 - May/June (2010 vol. 16)
ISSN: 1077-2626
pp: 513-528
Adrian Munteanu , Vrije Universiteit Brussel, Brussels
Dan C. Cernea , Vrije Universiteit Brussel, Brussels
Alin Alecu , Vrije Universiteit Brussel, Brussels
Jan Cornelis , Vrije Universiteit Brussel, Brussels
Peter Schelkens , Vrije Universiteit Brussel, Brussels
The paper investigates the novel concept of local-error control in mesh geometry encoding. In contrast to traditional mesh-coding systems that use the mean-square error as target distortion metric, this paper proposes a new L-infinite mesh-coding approach, for which the target distortion metric is the L-infinite distortion. In this context, a novel wavelet-based L-infinite-constrained coding approach for meshes is proposed, which ensures that the maximum error between the vertex positions in the original and decoded meshes is lower than a given upper bound. Furthermore, the proposed system achieves scalability in L-infinite sense, that is, any decoding of the input stream will correspond to a perfectly predictable L-infinite distortion upper bound. An instantiation of the proposed L-infinite-coding approach is demonstrated for MESHGRID, which is a scalable 3D object encoding system, part of MPEG-4 AFX. In this context, the advantages of scalable L-infinite coding over L-2-oriented coding are experimentally demonstrated. One concludes that the proposed L-infinite mesh-coding approach guarantees an upper bound on the local error in the decoded mesh, it enables a fast real-time implementation of the rate allocation, and it preserves all the scalability features and animation capabilities of the employed scalable mesh codec.
L-infinite coding, L-2 coding, scalable mesh coding, MESHGRID, 3D graphics, MPEG4-AFX, 1-CPRS

A. Alecu, D. C. Cernea, A. Munteanu, P. Schelkens and J. Cornelis, "Scalable L-Infinite Coding of Meshes," in IEEE Transactions on Visualization & Computer Graphics, vol. 16, no. , pp. 513-528, 2009.
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