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NON-RIGID SPECTRAL CORRESPONDENCE OF TRIANGLE MESHES

VARUN JAIN, HAO ZHANG, OLIVER VAN KAICK
2007 International journal of shape modeling  
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"

Huai-Yu Wu, Hongbin Zha
2011 2011 International Conference on Computer Vision  
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

Chao Wang, Yang Liu, Xiaohu Guo, Zichun Zhong, Binh Le, Zhigang Deng
2015 Journal of Computer Science and Technology  
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

Varun Jain, Hao Zhang
2007 Computer-Aided Design  
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

Chunxue Wang, Zheng Liu, Ligang Liu
2014 Graphical Models  
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]

Marvin Eisenberger, Zorah Lähner, Daniel Cremers
2019 arXiv   pre-print
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]

Z. Lian, A. Godil, B. Bustos, M. Daoudi, J. Hermans, S. Kawamura, Y. Kurita, G. Lavoué, H. V. Nguyen, R. Ohbuchi, Y. Ohkita, Y. Ohishi (+7 others)
2011 Eurographics Workshop on 3D Object Retrieval, EG 3DOR  
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]

Varun Jain, Hao Zhang
2006 Lecture Notes in Computer Science  
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

Jiaxi Hu, Jing Hua
2013 The Visual Computer  
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]

Riccardo Marin, Simone Melzi, Emanuele Rodolà, Umberto Castellani
2020 arXiv   pre-print
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

Hsueh-Ti Derek Liu, Alec Jacobson, Maks Ovsjanikov
2019 ACM Transactions on Graphics  
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

Patrick Mullen, Yiying Tong, Pierre Alliez, Mathieu Desbrun
2008 Computer graphics forum (Print)  
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

Gary K. L. Tam, Ralph R. Martin, Paul L. Rosin, Yu-Kun Lai
2014 ACM Transactions on Graphics  
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]

Daniela Craciun, Guillaume Levieux, Matthieu Montes
2017 Eurographics Workshop on 3D Object Retrieval, EG 3DOR  
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]

Z. Lian, J. Zhang, S. Choi, H. ElNaghy, J. El-Sana, T. Furuya, A. Giachetti, R. A. Guler, L. Lai, C. Li, H. Li, F. A. Limberger (+14 others)
2015 Eurographics Workshop on 3D Object Retrieval, EG 3DOR  
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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