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Multiresolution mesh segmentation based on surface roughness and wavelet analysis

Céline Roudet, Florent Dupont, Atilla Baskurt, Chang Wen Chen, Dan Schonfeld, Jiebo Luo
2007 Visual Communications and Image Processing 2007  
In this paper, we present a new algorithm for the segmentation of semi-regular triangle meshes, via multiresolution analysis.  ...  Our method uses several measures which reflect the roughness of the surface for all meshes resulting from the decomposition of the initial model into different fine-to-coarse multiresolution meshes.  ...  ACKNOWLEDGMENTS This work is supported by France Télécom R&D Rennes within the framework of the CoSurf project.  ... 
doi:10.1117/12.704446 dblp:conf/vcip/RoudetDB07 fatcat:fevzac5oi5fdji6jpuyhrid6te

Semi-regular 3D mesh progressive compression and transmission based on an adaptive wavelet decomposition

Céline Roudet, Florent Dupont, Atilla Baskurt, Frederic Truchetet, Olivier Laligant
2009 Wavelet Applications in Industrial Processing VI  
), reflecting the high frequencies of the model.  ...  We introduce a new patch-based multi-resolution analysis of semi-regular mesh surfaces.  ...  They both used harmonic maps to construct the local parameterization, which minimizes the distortion when mapping a curved surface to the plane.  ... 
doi:10.1117/12.805505 fatcat:cyx3tintfnhfhcnomlnnq2ibaa

Semi-Regular Triangle Remeshing: A Comprehensive Study

F. Payan, C. Roudet, B. Sauvage
2014 Computer graphics forum (Print)  
Especially in the field of computer graphics, semi-regularity is an interesting property because it makes meshes highly suitable for multiresolution analysis.  ...  Semi-regular triangle remeshing algorithms convert irregular surface meshes into semi-regular ones.  ...  This structure is suitable for a wavelet-based multiresolution (MR) analysis of the mesh geometry (see figure 1). A multiresolution analysis defines different levels of resolution of the SR mesh.  ... 
doi:10.1111/cgf.12461 fatcat:pasu6q46v5h6rp4qpe4a47vtl4

Admissible Diffusion Wavelets and Their Applications in Space-Frequency Processing

Tingbo Hou, Hong Qin
2013 IEEE Transactions on Visualization and Computer Graphics  
We propose the admissible diffusion wavelets (ADW) on meshed surfaces and point clouds.  ...  We define the novel rapid reconstruction, which recovers the signal from multiple bands of high frequencies and a low-frequency base in full resolution.  ...  The subdivision seeks to model a smooth surface via a recursive process of refining polygonal faces from a coarse base mesh, which is essentially a model-driven, top-down methodology towards wavelets definition  ... 
doi:10.1109/tvcg.2012.111 pmid:22508898 fatcat:ccyuhlxdk5dttnoyzqwdchrxbu

Perception-motivated multiresolution rendering on sole-cube maps

Bin Sheng, Weiliang Meng, Hanqiu Sun, Wen Wu, Enhua Wu
2013 Multimedia tools and applications  
This paper presents a novel GPU-based multiresolution rendering on solecube maps (SCMs), which is a variant of geometry images built upon spherical parameterization.  ...  Our user study confirmed that the visual quality of the SCMs multiresolution rendering, in comparison with the meshes/geometry images rendering, is also highly efficient especially for complex models in  ...  By taking advantage of SCMs, we can generate adaptive meshes dynamically via GPU processing, and render multiresolution surfaces.  ... 
doi:10.1007/s11042-012-1335-2 fatcat:ro7yhrwgwbfxxgl6lmrn4mdlxi

Multi-resolution Shape Analysis via Non-Euclidean Wavelets: Applications to Mesh Segmentation and Surface Alignment Problems

Won Hwa Kim, Moo K. Chung, Vikas Singh
2013 2013 IEEE Conference on Computer Vision and Pattern Recognition  
In this paper, we adapt recent results in harmonic analysis, to derive Non-Euclidean Wavelets based algorithms for a range of shape analysis problems in vision and medical imaging.  ...  The analysis of 3-D shape meshes is a fundamental problem in computer vision, graphics, and medical imaging.  ...  In this paper, we adapt an interesting set of recent results from harmonic analysis [8, 5] to derive efficient multiresolution algorithms for shape analysis problems in computer vision.  ... 
doi:10.1109/cvpr.2013.278 pmid:24390194 pmcid:PMC3879264 dblp:conf/cvpr/KimCS13 fatcat:l4f6kgagrzadvlkxoqtqago64u

Operator-adapted wavelets for finite-element differential forms

Max Budninskiy, Houman Owhadi, Mathieu Desbrun
2019 Journal of Computational Physics  
Highlights • We propose the first construction of operator-adapted wavelets for finite-element differential forms. • The core of our construction relies on refinable and subdivision-based high-order bases  ...  such as divergence-freeness, and has direct applications such as coarse-graining and model reduction of linear and non-linear partial differential equations.  ...  While first generation adaptive wavelets (such as bi-orthogonal wavelets [19] ) can be constructed with arbitrarily high regularity, their shift and scale invariance prevents from adapting them to irregular  ... 
doi:10.1016/j.jcp.2019.02.018 fatcat:4obiml6lnrbtdosrbiksku6q6u

Multiscale 3-D Shape Representation and Segmentation Using Spherical Wavelets

Delphine Nain, Steven Haker, Aaron Bobick, Allen Tannenbaum
2007 IEEE Transactions on Medical Imaging  
Specifically, our technique defines a multiscale parametric model of surfaces belonging to the same population using a compact set of spherical wavelets targeted to that population.  ...  This paper presents a novel multiscale shape representation and segmentation algorithm based on the spherical wavelet transform.  ...  useful comment on drafts of this article.  ... 
doi:10.1109/tmi.2007.893284 pmid:17427745 pmcid:PMC3660982 fatcat:4letoizgizaa5h466k3nd4lrom

Wavelets in computer graphics

P. Schroder
1996 Proceedings of the IEEE  
Most recently these ideas have received a significant boost as wavelet based algorithms have entered many areas in computer graphics.  ...  We give an overview of some of the areas in which wavelets have already had an impact on the state of the art.  ...  They remap arbitrary connectivity meshes onto meshes with subdivision connectivity through the use of a harmonic map.  ... 
doi:10.1109/5.488703 fatcat:fbfitsuvuvh2nc4blq6gmvxlxq

Continuous and discrete Mexican hat wavelet transforms on manifolds

Tingbo Hou, Hong Qin
2012 Graphical Models  
By formulating Fourier transforms of bivariate kernels and convolutions, we obtain its explicit expression in the Fourier domain, which is a scaled differential operator continuously dilated via heat diffusion  ...  This paper systematically studies the well-known Mexican hat wavelet (MHW) on manifold geometry, including its derivation, properties, transforms, and applications.  ...  Models are courtesy of the AIM@SHAPE repository.  ... 
doi:10.1016/j.gmod.2012.04.010 fatcat:qfx3h6ni2bgb3lptizw4yitu6i

Iris Compression and Recognition using Spherical Geometry Image

Rabab M.
2015 International Journal of Advanced Research in Artificial Intelligence (IJARAI)  
The representation of features based on spherical wavelet parameterization of the iris image was proposed for the 3D iris compression system.  ...  We use spherical based wavelet coefficients for efficient representation of the 3D iris. The spherical wavelet transformation is used to decompose the iris image into multi-resolution sub images.  ...  ACKNOWLEDGEMENTS The authors would like to acknowledge financial support for this work from the Deanship of Scientific Research (DSR), University of Tabuk, Tabuk, Saudi Arabia, under grant no. 0024/1435  ... 
doi:10.14569/ijarai.2015.040605 fatcat:z6qqv6t75nchbkb56zkhlc5wpy

Wavelet-based spatial audio framework [article]

Davide Scaini
2020 arXiv   pre-print
We develop a complete audio chain from encoding to decoding, using discrete spherical wavelets built on a multiresolution mesh.  ...  We show how the wavelet family and the decoding matrices to loudspeakers can be generated via numerical optimization.  ...  wavelets and the symmetries of the multiresolution.  ... 
arXiv:2003.03287v1 fatcat:46sgzqfbuva5vgfxfmlz5h37ra

Wavelets for Differential Equations and Numerical Operator Calculus [chapter]

Riccardo Bernardini
2019 Wavelet Transform and Complexity [Working Title]  
The objective of this chapter is to introduce the main concepts of wavelets and differential equation, allowing the reader to apply wavelets to the solution of differential equations and in numerical operator  ...  Wavelets, since their appearance in the early 1990s, have attracted attention for their multiresolution nature that allows them to act as a "mathematical zoom," a characteristic that promises to describe  ...  Some examples of application can be found in [42] [43] [44] . A problem with the application of wavelets to FEM techniques is the difficulty to adapt the wavelet construction to complex meshes.  ... 
doi:10.5772/intechopen.82820 fatcat:xihlmklypfal3le2vaqju5m444

Signal-specialized parameterization for piecewise linear reconstruction

Geetika Tewari, John Snyder, Pedro V. Sander, Steven J. Gortler, Hugues Hoppe
2004 Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing  
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps.  ...  Derived from Taylor expansion of signal error, our metric predicts the signal approximation error -the difference between the original surface signal and its reconstruction from the sampled texture.  ...  Duchamp et al. investigate multiresolution methods for computing harmonic maps [DCDA97] .  ... 
doi:10.1145/1057432.1057440 fatcat:rmdvb2z7hrdxbpvrbwyu5msln4

Signal-Specialized Parameterization for Piecewise Linear Reconstruction [article]

Geetika Tewari, John Snyder, Pedro V. Sander, Steven J. Gortler, Hugues Hoppe
2004 Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing  
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps.  ...  Derived from Taylor expansion of signal error, our metric predicts the signal approximation error - the difference between the original surface signal and its reconstruction from the sampled texture.  ...  Duchamp et al. investigate multiresolution methods for computing harmonic maps [DCDA97] .  ... 
doi:10.2312/sgp/sgp04/057-066 fatcat:5gpuo5mam5gcdklylh4onzx2vi
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