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NON-RIGID SPECTRAL CORRESPONDENCE OF TRIANGLE MESHES
2007
International journal of shape modeling
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We present an algorithm for finding a meaningful vertex-to-vertex correspondence between two triangle meshes, which is designed to handle general non-rigid transformations. ...
We show empirically that our algorithm outperforms previous spectral methods, as well as schemes that compute correspondence in the spatial domain via non-rigid iterative closest points or the use of local ...
Non-Rigid Spectral Correspondence of Triangle Meshes 9 Fig. 4. Eigenvector plots for two shapes, both with 252 vertices. ...
doi:10.1142/s0218654307000968
fatcat:dg674klcofcmndwnqyge2pznji
Robust consistent correspondence between 3D non-rigid shapes based on "Dual Shape-DNA"
2011
2011 International Conference on Computer Vision
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By exploiting the excellent properties of the dual domain, our dual spectral framework can robustly construct Laplace-Beltrami embeddings on highly non-regular 3D meshes. ...
After performing initial non-rigid matching in the dual Laplace-Beltrami spectral domain, we return 3D spatial domain and apply a shape-preserving non-rigid deformation to produce the final dense consistent ...
non-rigid shapes. ...
doi:10.1109/iccv.2011.6126292
dblp:conf/iccv/WuZ11
fatcat:tdfyayfwlrbptcfweeulv3ubei
Spectral Animation Compression
2015
Journal of Computer Science and Technology
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Our new approach directly compresses the field of deformation gradient defined on the surface mesh, by decomposing it into rigid-body motion (rotation) and non-rigid-body deformation (stretching) through ...
This paper presents a spectral approach to compress dynamic animation consisting of a sequence of homeomorphic manifold meshes. ...
Consider a triangle mesh animation with only rigid-body rotation and translation. It is easy to see that each triangle has the same deformation gradient which is the global rotation. ...
doi:10.1007/s11390-015-1544-z
fatcat:msm4byyykbfrlb3e5ja4jhzkiu
A spectral approach to shape-based retrieval of articulated 3D models
2007
Computer-Aided Design
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Each shape is represented by the eigenvectors of an appropriately defined affinity matrix, forming a spectral embedding which achieves normalization against rigid-body transformations, uniform scaling, ...
On the McGill database of articulated 3D shapes, the spectral approach leads to absolute improvement in retrieval performance for both the spherical harmonic and the light field shape descriptors. ...
Sven Dickinson from the University of Toronto, for their helpful comments. ...
doi:10.1016/j.cad.2007.02.009
fatcat:76jrt7biqff33fj2mqhnvc2axu
As-rigid-as-possible spherical parametrization
2014
Graphical Models
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In this paper, we present an efficient approach for parameterizing a genus-zero triangular mesh onto the sphere with an optimal radius in an as-rigid-as-possible (ARAP) manner, which is an extension of ...
The solution is non-trivial as the energy involves a large system of non-linear equations with additional spherical constraints. To this end, we propose a two-step iterative algorithm. ...
Acknowledgments Thanks to Xin Lin and Ying Li for providing results of the algorithms of [7, 6] . ...
doi:10.1016/j.gmod.2014.03.016
fatcat:djpoi2cmjjgbrbwud7jmzeftsi
Smooth Shells: Multi-Scale Shape Registration with Functional Maps
[article]
2019
arXiv
pre-print
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Our method naturally handles various types of noise that commonly occur in real scans, like non-isometry or incompatible meshing. ...
We propose a novel 3D shape correspondence method based on the iterative alignment of so-called smooth shells. ...
Besides being high resolution N ≈ 200K with non-compatible meshing, the shapes are noisy and highly non-isometric. ...
arXiv:1905.12512v2
fatcat:2lqvgcg6cjei5fgvhaseeysfmm
SHREC '11 Track: Shape Retrieval on Non-rigid 3D Watertight Meshes
[article]
2011
Eurographics Workshop on 3D Object Retrieval, EG 3DOR
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The track is based on a new non-rigid 3D shape benchmark, which contains 600 watertight triangle meshes that are equally classified into 30 categories. ...
The aim of this track is to measure and compare the performance of non-rigid 3D shape retrieval methods implemented by different participants around the world. ...
To address the problem, we organized the SHREC'11 Track: Shape Retrieval on Non-rigid 3D Watertight Meshes based on a new database consisting of 600 watertight triangle meshes that were generated using ...
doi:10.2312/3dor/3dor11/079-088
fatcat:4yfobokwgzbvtmp4jc75tcsn3u
Shape-Based Retrieval of Articulated 3D Models Using Spectral Embedding
[chapter]
2006
Lecture Notes in Computer Science
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Transformation into the spectral domain normalizes the shapes against articulation (bending), rigid-body transformations, and uniform scaling. ...
We represent each shape by the eigenvectors of an appropriately defined affinity matrix, obtaining a spectral embedding. ...
is adopted: the mesh can be non-manifold, open or closed, having disconnected parts, or a collection of disjoint soup of triangles. ...
doi:10.1007/11802914_21
fatcat:jainna2fszddrjbx77bpsjomci
Pose analysis using spectral geometry
2013
The Visual Computer
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We propose a novel method to analyze a set of poses of 3D models that are represented with triangle meshes and unregistered. ...
The discrete implementation also makes the Laplace-Beltrami operator straightforward to be applied on triangle meshes despite triangulations. ...
A triangle mesh is a discrete sampling of a surface, therefore, an exact correspondence of a vertex may not exist on another near-isometric mesh. ...
doi:10.1007/s00371-013-0850-0
fatcat:sgjzxy4bhjh3da3mtk2ptfgutm
High-Resolution Augmentation for Automatic Template-Based Matching of Human Models
[article]
2020
arXiv
pre-print
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In this paper we present an innovative High-Resolution Augmentation (HRA) strategy that enables highly accurate correspondence even in the presence of significant mesh resolution mismatch between the input ...
Our approach is based on the joint adoption of three different tools: an intrinsic spectral matching pipeline, a morphable model, and an extrinsic details refinement. ...
Without a smoothing, the triangles becomes smaller but they get stuck in their rigidity relation. ...
arXiv:2009.09312v1
fatcat:s25rmau5xfdk7a3zl3jjd7cdfm
Spectral coarsening of geometric operators
2019
ACM Transactions on Graphics
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Efficient Shape Correspondence A key problem in shape analysis is computing correspondences between pairs of non-rigid shapes. ...
We mapà back to the original domain bỹ Although theà orig R, D is dense and lots of components do not correspond to any edge in the triangle mesh, the non-zero components corresponding to actual edges ...
doi:10.1145/3306346.3322953
fatcat:qyfygyrzn5gsdd4zshtytcwt7q
Spectral Conformal Parameterization
2008
Computer graphics forum (Print)
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We present a spectral approach to automatically and efficiently obtain discrete free-boundary conformal parameterizations of triangle mesh patches, without the common artifacts due to positional constraints ...
High-quality parameterizations are computed through a constrained minimization of a discrete weighted conformal energy by finding the largest eigenvalue/eigenvector of a generalized eigenvalue problem ...
Acknowledgements: We wish to express our thanks to the reviewers for providing meshes and advice, and to Lily Kharevych for providing the Circle Patterns examples used in this paper. ...
doi:10.1111/j.1467-8659.2008.01289.x
fatcat:fk3276oyeje3vkpxkhvrc7zeba
Diffusion pruning for rapidly and robustly selecting global correspondences using local isometry
2014
ACM Transactions on Graphics
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We provide a novel algorithm to prune a set of candidate correspondences to those most likely to be globally consistent. ...
Our approach can handle articulated surfaces, and ones related by a deformation which is globally non-isometric, provided that the deformation is locally approximately isometric. ...
The face mesh data [Sumner and Popović 2004] was provided by Robert Sumner and Jovan Popovic of the Computer Graphics Group at MIT. ...
doi:10.1145/2517967
fatcat:245ny5tqerdxvoopxeafrpq6v4
Shape Similarity System driven by Digital Elevation Models for Non-rigid Shape Retrieval
[article]
2017
Eurographics Workshop on 3D Object Retrieval, EG 3DOR
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The DEM descriptor is obtained through the jointly use of a mesh flattening technique and a 2D panoramic projection. ...
Experimental results on the public dataset TOSCA [BBK08] and a comparison with state-of-the-art methods illustrate the effectiveness of the proposed method in terms of accuracy and efficiency. ...
They provide an effective solution for invariance to non-rigid deformations. A recent survey on spectral methods can be found in [LBH14] . ...
doi:10.2312/3dor.20171051
fatcat:6n45xhm3xzchxflieswnq4mgve
Non-rigid 3D Shape Retrieval
[article]
2015
Eurographics Workshop on 3D Object Retrieval, EG 3DOR
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The database utilized in this track consists of 1200 3D watertight triangle meshes which are equally classified into 50 categories. ...
In this paper, we present the results of the SHREC'15 Track: Non-rigid 3D Shape Retrieval. ...
Spectral graph wavelet signature: The first stage is the computation of spectral descriptor h(x) at each vertex of the triangle meshed shape X. ...
doi:10.2312/3dor.20151064
fatcat:xbvvpdsszfhg5iske6mwv7j2ry
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