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.
Munteanu, A, Cernea, DC, Alecu, A, Cornelis, J & Schelkens, P 2010, 'Scalable L-infinite Coding of Meshes', IEEE Transactions on Visualization and Computer Graphics, vol. 16, pp. 513-528.
Munteanu, A., Cernea, D. C., Alecu, A., Cornelis, J., & Schelkens, P. (2010). Scalable L-infinite Coding of Meshes. IEEE Transactions on Visualization and Computer Graphics, 16, 513-528.
@article{922bb8d825e94ce5b8fa8d54a67026fc,
title = "Scalable L-infinite Coding of Meshes",
abstract = "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.",
keywords = "L-infinite, mesh coding",
author = "Adrian Munteanu and Cernea, {Dan Costin} and Alin Alecu and Jan Cornelis and Peter Schelkens",
year = "2010",
month = may,
language = "English",
volume = "16",
pages = "513--528",
journal = "IEEE Transactions on Visualization and Computer Graphics",
issn = "1077-2626",
publisher = "IEEE Computer Society",
}