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Wavelet-Based L-infinity Semi-regular Mesh Coding This publication appears in: IEEE Transactions on Multimedia Authors: R. Florea, A. Munteanu, S. Lu and P. Schelkens Volume: 19 Issue: 2 Pages: 236-250 Publication Date: Feb. 2017
Abstract: Polygonal meshes are popular three-dimensional virtual representations employed in a wide range of applications. Users have very high expectations with respect to the accuracy of these virtual representations, fueling a steady increase in the processing power and performance of graphics processing hardware. This accuracy is closely related to how detailed the virtual representations are. The more detailed these representations become, the higher the amount of data that will need to be displayed, stored, or transmitted. Efficient compression techniques are of critical importance in this context. State-of-the-art compression performance of semi-regular mesh coding systems has been achieved through the use of subdivision-based wavelet coding techniques. However, the vast majority of these codecs are optimized with respect to the L2 distortion metric, i.e., the average error. This makes them unsuitable for applications where each input signal sample has a certain significance. To alleviate this problem, we propose to optimize the mesh codec with respect to the L-infinite metric, which allows for the control of the local reconstruction error. This paper proposes novel data-dependent formulations for the L-infinite distortion. The proposed L-infinite estimators are incorporated in a state-of-the-art wavelet-based semi-regular mesh codec. The resulting coding system offers scalability in L-infinite sense. The experiments demonstrate the advantages of L-infinite coding in providing a tight control on the local reconstruction error. Furthermore, the proposed data-dependent L-infinite approaches significantly improve estimation accuracy, reducing the classical low-rate gap between the estimated and actual L-infinite distortion observed for previous L-infinite estimators.
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