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Multiresolution mesh segmentation based on surface roughness and wavelet analysis
2007
Visual Communications and Image Processing 2007
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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
2009
Wavelet Applications in Industrial Processing VI
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), 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
2014
Computer graphics forum (Print)
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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
2013
IEEE Transactions on Visualization and Computer Graphics
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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
2013
Multimedia tools and applications
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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
2013
2013 IEEE Conference on Computer Vision and Pattern Recognition
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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
2019
Journal of Computational Physics
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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
2007
IEEE Transactions on Medical Imaging
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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
1996
Proceedings of the IEEE
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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
2012
Graphical Models
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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
2015
International Journal of Advanced Research in Artificial Intelligence (IJARAI)
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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]
2020
arXiv
pre-print
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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]
2019
Wavelet Transform and Complexity [Working Title]
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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
2004
Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing
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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]
2004
Symposium on geometry processing : [proceedings]. Symposium on Geometry Processing
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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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