Scalable Intraband and Composite Wavelet-Based Coding of Semiregular Meshes
This paper proposes novel scalable mesh coding designs exploiting the intraband or composite statistical dependencies between the wavelet coefficients. A Laplacian mixture model is proposed to approximate the distribution of the wavelet coefficients. This model proves to be more accurate when compar...
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| Vydané v: | IEEE transactions on multimedia Ročník 12; číslo 8; s. 773 - 789 |
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| Hlavní autori: | , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
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New York, NY
IEEE
01.12.2010
Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
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| ISSN: | 1520-9210, 1941-0077 |
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| Abstract | This paper proposes novel scalable mesh coding designs exploiting the intraband or composite statistical dependencies between the wavelet coefficients. A Laplacian mixture model is proposed to approximate the distribution of the wavelet coefficients. This model proves to be more accurate when compared to commonly employed single Laplacian or generalized Gaussian distribution models. Using the mixture model, we determine theoretically the optimal embedded quantizers to be used in scalable wavelet-based coding of semiregular meshes. In this sense, it is shown that the commonly employed successive approximation quantization is an acceptable, but in general, not an optimal solution. Novel scalable intraband and composite mesh coding systems are proposed, following an information-theoretic analysis of the statistical dependencies between the coefficients. The wavelet subbands are independently encoded using octree-based coding techniques. Furthermore, context-based entropy coding employing either intraband or composite models is applied. The proposed codecs provide both resolution and quality scalability. This lies in contrast to the state-of-the-art interband zerotree-based semiregular mesh coding technique, which supports only quality scalability. Additionally, the experimental results show that, on average, the proposed codecs outperform the interband state-of-the-art for both normal and nonnormal meshes. Finally, compared with a zerotree coding system, the proposed coding schemes are better suited for software/hardware parallelism, due to the independent processing of wavelet subbands. |
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| AbstractList | This paper proposes novel scalable mesh coding designs exploiting the intraband or composite statistical dependencies between the wavelet coefficients. A Laplacian mixture model is proposed to approximate the distribution of the wavelet coefficients. This model proves to be more accurate when compared to commonly employed single Laplacian or generalized Gaussian distribution models. Using the mixture model, we determine theoretically the optimal embedded quantizers to be used in scalable wavelet-based coding of semiregular meshes. In this sense, it is shown that the commonly employed successive approximation quantization is an acceptable, but in general, not an optimal solution. Novel scalable intraband and composite mesh coding systems are proposed, following an information-theoretic analysis of the statistical dependencies between the coefficients. The wavelet subbands are independently encoded using octree-based coding techniques. Furthermore, context-based entropy coding employing either intraband or composite models is applied. The proposed codecs provide both resolution and quality scalability. This lies in contrast to the state-of-the-art interband zerotree-based semiregular mesh coding technique, which supports only quality scalability. Additionally, the experimental results show that, on average, the proposed codecs outperform the interband state-of-the-art for both normal and nonnormal meshes. Finally, compared with a zerotree coding system, the proposed coding schemes are better suited for software/hardware parallelism, due to the independent processing of wavelet subbands. |
| Author | Satti, Shahid M Denis, Leon Munteanu, Adrian Cornelis, Jan Schelkens, Peter |
| Author_xml | – sequence: 1 givenname: Leon surname: Denis fullname: Denis, Leon email: ldenis@etro.vub.ac.be organization: Dept. of Electron. & Inf., Vrije Univ. Brussel, Brussels, Belgium – sequence: 2 givenname: Shahid M surname: Satti fullname: Satti, Shahid M email: smsatti@etro.vub.ac.be organization: Dept. of Electron. & Inf., Vrije Univ. Brussel, Brussels, Belgium – sequence: 3 givenname: Adrian surname: Munteanu fullname: Munteanu, Adrian email: acmuntea@etro.vub.ac.be organization: Dept. of Electron. & Inf., Vrije Univ. Brussel, Brussels, Belgium – sequence: 4 givenname: Jan surname: Cornelis fullname: Cornelis, Jan organization: Dept. of Electron. & Inf., Vrije Univ. Brussel, Brussels, Belgium – sequence: 5 givenname: Peter surname: Schelkens fullname: Schelkens, Peter organization: Dept. of Electron. & Inf., Vrije Univ. Brussel, Brussels, Belgium |
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| Keywords | Scalability Gaussian distribution Mixture theory Subband Modeling Information theoretic analysis Information analysis Successive approximation Codec Coding Signal quantization zerotree coding intraband and composite coding Statistical analysis Subband decomposition scalable mesh coding octree coding Octree Context aware Laplacian Computational geometry Wavelet transformation Optimal solution Parallelism Tridimensional image lifting-based wavelet transform Information theory |
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| SubjectTerms | Applied sciences Approximation Artificial intelligence Codec Codecs Coding Computer science; control theory; systems Computer systems and distributed systems. User interface Context modeling Entropy Entropy coding Exact sciences and technology Finite element method Gaussian distribution Hardware Information analysis Information theoretic analysis intraband and composite coding Laplace equations lifting-based wavelet transform Mathematical models octree coding Pattern recognition. Digital image processing. Computational geometry Quantization Scalability scalable mesh coding Software State of the art Studies Wavelet Wavelet coefficients Wavelet transforms zerotree coding |
| Title | Scalable Intraband and Composite Wavelet-Based Coding of Semiregular Meshes |
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