Estimation of interband and intraband statistical dependencies in wavelet-based decomposition of meshes

Shahid M. Satti; Leon Denis; Adrian Munteanu; Jan Cornelis; Peter Schelkens

doi:10.1117/12.805820

27 January 2009 Estimation of interband and intraband statistical dependencies in wavelet-based decomposition of meshes

Shahid M. Satti, Leon Denis, Adrian Munteanu, Jan Cornelis, Peter Schelkens

Proceedings Volume 7248, Wavelet Applications in Industrial Processing VI; 72480A (2009) https://doi.org/10.1117/12.805820
Event: IS&T/SPIE Electronic Imaging, 2009, San Jose, California, United States

Abstract

This paper analyzes the statistical dependencies between wavelet coefficients in wavelet-based decompositions of 3D meshes. These dependencies are estimated using the interband, intraband and composite mutual information. For images, the literature shows that the composite and the intraband mutual information are approximat-ely equal, and they are both significantly larger than the interband mutual information. This indicates that intraband coding designs should be favored over the interband zerotree-based coding approaches, in order to better capture the residual dependencies between wavelet coefficients. This motivates the design of intraband wavelet-based image coding schemes, such as quadtree-limited (QT-L) coding, or the state-of-the-art JPEG-2000 scalable image coding standard. In this paper, we empirically investigate whether these findings hold in case of meshes as well. The mutual information estimation results show that, although the intraband mutual information is significantly larger than the interband mutual information, the composite case cannot be discarded, as the composite mutual information is also significantly larger than the intraband mutual information. One concludes that intraband and composite codec designs should be favored over the traditional interband zerotree-based coding approaches commonly followed in scalable coding of meshes.

Citation Download Citation

Shahid M. Satti, Leon Denis, Adrian Munteanu, Jan Cornelis, and Peter Schelkens "Estimation of interband and intraband statistical dependencies in wavelet-based decomposition of meshes", Proc. SPIE 7248, Wavelet Applications in Industrial Processing VI, 72480A (27 January 2009); https://doi.org/10.1117/12.805820

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available