Scalable Feature‐Preserving Irregular Mesh Coding

This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts...

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Vydáno v:	Computer graphics forum Ročník 36; číslo 6; s. 275 - 290
Hlavní autoři:	El Sayeh Khalil, J., Munteanu, A., Denis, L., Lambert, P., Walle, R.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Oxford Blackwell Publishing Ltd 01.09.2017
Témata:	Adaptive sampling Aliasing Distortion Finite element method I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling–Hierarchy and geometric transformations G.1.2 [Numerical Analysis]: Approximation–Approximation of surfaces and contours level of detail algorithms Octree coding scalable mesh compression scalable rendering Smoothing Wavelet analysis Wavelet transforms Wavelets and fractals E.4 [Coding and Information Theory]: Data compaction and compression
ISSN:	0167-7055, 1467-8659
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Abstract	This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts. By employing octree‐based coding techniques, the encoding of both connectivity and geometry information is decoupled from any mesh traversal order, and allows for exploiting the intra‐band statistical dependencies between wavelet coefficients. Improvements over the state of the art obtained by our approach are three‐fold: (1) improved rate–distortion performance over Wavemesh and IPR for both the Hausdorff and root mean square distances at low‐to‐mid‐range bitrates, most obvious when clear geometric features are present while remaining competitive for smooth, feature‐poor models; (2) improved rendering performance at any triangle budget, translating to a better quality for the same runtime memory footprint; (3) improved visual quality when applying similar limits to the bitrate or triangle budget, showing more pronounced improvements than rate–distortion curves. This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts. By employing octree‐based coding techniques, the encoding of both connectivity and geometry information is decoupled from any mesh traversal order, and allows for exploiting the intra‐band statistical dependencies between wavelet coefficients.
AbstractList	This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts. By employing octree‐based coding techniques, the encoding of both connectivity and geometry information is decoupled from any mesh traversal order, and allows for exploiting the intra‐band statistical dependencies between wavelet coefficients. Improvements over the state of the art obtained by our approach are three‐fold: (1) improved rate–distortion performance over Wavemesh and IPR for both the Hausdorff and root mean square distances at low‐to‐mid‐range bitrates, most obvious when clear geometric features are present while remaining competitive for smooth, feature‐poor models; (2) improved rendering performance at any triangle budget, translating to a better quality for the same runtime memory footprint; (3) improved visual quality when applying similar limits to the bitrate or triangle budget, showing more pronounced improvements than rate–distortion curves. This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts. By employing octree‐based coding techniques, the encoding of both connectivity and geometry information is decoupled from any mesh traversal order, and allows for exploiting the intra‐band statistical dependencies between wavelet coefficients. This paper presents a novel wavelet‐based transform and coding scheme for irregular meshes. The transform preserves geometric features at lower resolutions by adaptive vertex sampling and retriangulation, resulting in more accurate subsampling and better avoidance of smoothing and aliasing artefacts. By employing octree‐based coding techniques, the encoding of both connectivity and geometry information is decoupled from any mesh traversal order, and allows for exploiting the intra‐band statistical dependencies between wavelet coefficients. Improvements over the state of the art obtained by our approach are three‐fold: (1) improved rate–distortion performance over Wavemesh and IPR for both the Hausdorff and root mean square distances at low‐to‐mid‐range bitrates, most obvious when clear geometric features are present while remaining competitive for smooth, feature‐poor models; (2) improved rendering performance at any triangle budget, translating to a better quality for the same runtime memory footprint; (3) improved visual quality when applying similar limits to the bitrate or triangle budget, showing more pronounced improvements than rate–distortion curves.
Author	Munteanu, A. Walle, R. Denis, L. Lambert, P. El Sayeh Khalil, J.
Author_xml	– sequence: 1 givenname: J. surname: El Sayeh Khalil fullname: El Sayeh Khalil, J. email: jonas.elsayehkhalil@ugent.be organization: Data Science Lab (Ghent University ‐ iMinds) – sequence: 2 givenname: A. surname: Munteanu fullname: Munteanu, A. email: acmuntea@etro.vub.ac.be organization: Vrije Universiteit Brussel ‐ Dept. of Electronics and Informatics – sequence: 3 givenname: L. surname: Denis fullname: Denis, L. email: ldenis@etro.vub.ac.be organization: Vrije Universiteit Brussel ‐ Dept. of Electronics and Informatics – sequence: 4 givenname: P. surname: Lambert fullname: Lambert, P. email: peter.lambert@ugent.be organization: Data Science Lab (Ghent University ‐ iMinds) – sequence: 5 givenname: R. surname: Walle fullname: Walle, R. email: rik.vandewalle@ugent.be organization: Data Science Lab (Ghent University ‐ iMinds)
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Cites_doi	10.1109/TVCG.2004.1260763 10.1145/237170.237216 10.1109/78.258085 10.1111/j.1467-8659.2009.01507.x 10.1109/ICIP.1999.821589 10.1145/1186822.1073237 10.1109/TMM.2010.2058094 10.1145/2461912.2461965 10.1007/s00371-011-0602-y 10.1145/2693443 10.1109/TCSVT.2003.815173 10.1111/1467-8659.00236 10.1016/S0097-8493(97)00082-4 10.1016/j.jvcir.2005.03.001 10.1016/j.cag.2012.03.023 10.1111/j.1467-8659.2010.01789.x 10.1145/344779.344922 10.1109/TVCG.2004.1260764 10.1109/2945.841122 10.1145/383259.383281 10.1145/344779.344831 10.1109/4233.788579 10.1145/237748.237750 10.1137/S0036141095289051 10.1109/2945.765329 10.1109/TVCG.2007.70441
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Copyright	2016 The Authors Computer Graphics Forum © 2016 The Eurographics Association and John Wiley & Sons Ltd. 2017 The Eurographics Association and John Wiley & Sons Ltd.
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SubjectTerms	Adaptive sampling Aliasing Distortion Finite element method I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling–Hierarchy and geometric transformations G.1.2 [Numerical Analysis]: Approximation–Approximation of surfaces and contours level of detail algorithms Octree coding scalable mesh compression scalable rendering Smoothing Wavelet analysis Wavelet transforms Wavelets and fractals E.4 [Coding and Information Theory]: Data compaction and compression
Title	Scalable Feature‐Preserving Irregular Mesh Coding
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