Publication Details
Adrian Munteanu, Dan Cernea, Alin Alecu, Jan Cornelis, Peter Schelkens

IEEE Transactions on Visualization and Computer Graphics

Contribution To Journal


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.