Analysis of Two-Dimensional Non-Rigid Shapes
International Journal of Computer Vision
Topology-Invariant Similarity of Nonrigid Shapes
International Journal of Computer Vision
Möbius voting for surface correspondence
ACM SIGGRAPH 2009 papers
Partial Similarity of Objects, or How to Compare a Centaur to a Horse
International Journal of Computer Vision
A Bag of Words Approach for 3D Object Categorization
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
Geodesics in Shape Space via Variational Time Discretization
EMMCVPR '09 Proceedings of the 7th International Conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Squigraphs for fine and compact modeling of 3-D shapes
IEEE Transactions on Image Processing
Full and Partial Symmetries of Non-rigid Shapes
International Journal of Computer Vision
Recursive computation of moments of 2D objects represented by elliptic Fourier descriptors
Pattern Recognition Letters
International Journal of Computer Vision
Universal multi-dimensional scaling
Proceedings of the 16th ACM SIGKDD international conference on Knowledge discovery and data mining
Inelastic deformation invariant modal representation for non-rigid 3D object recognition
AMDO'10 Proceedings of the 6th international conference on Articulated motion and deformable objects
Orientation invariant 3D object classification using hough transform based methods
Proceedings of the ACM workshop on 3D object retrieval
Volumetric heat kernel signatures
Proceedings of the ACM workshop on 3D object retrieval
Hough transform and 3D SURF for robust three dimensional classification
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part VI
Shape google: Geometric words and expressions for invariant shape retrieval
ACM Transactions on Graphics (TOG)
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
An Elasticity-Based Covariance Analysis of Shapes
International Journal of Computer Vision
ACM SIGGRAPH 2011 papers
Optimal regions for linear model-based 3D face reconstruction
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
Earth Mover’s morphing: topology-free shape morphing using cluster-based EMD flows
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
Shape- and pose-invariant correspondences using probabilistic geodesic surface embedding
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Efficient and robust shape matching for model based human motion capture
DAGM'11 Proceedings of the 33rd international conference on Pattern recognition
Bilinear spatiotemporal basis models
ACM Transactions on Graphics (TOG)
Isometric deformation invariant 3D shape recognition
Pattern Recognition
Measuring geodesic distances via the uniformization theorem
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Discrete minimum distortion correspondence problems for non-rigid shape matching
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
A correspondence-less approach to matching of deformable shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Group-Valued regularization framework for motion segmentation of dynamic non-rigid shapes
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
Functional maps: a flexible representation of maps between shapes
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Exploring collections of 3D models using fuzzy correspondences
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
Persistent homology and partial similarity of shapes
Pattern Recognition Letters
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
Computer Graphics Forum
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
Computer Graphics Forum
Multi-scale approximation of the matching distance for shape retrieval
CTIC'12 Proceedings of the 4th international conference on Computational Topology in Image Context
A comparison of methods for non-rigid 3D shape retrieval
Pattern Recognition
Robust shape normalization of 3D articulated volumetric models
Computer-Aided Design
SHREC'10 track: robust shape retrieval
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC'10 track: feature detection and description
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
SHREC'10 track: correspondence finding
EG 3DOR'10 Proceedings of the 3rd Eurographics conference on 3D Object Retrieval
ConTopo: non-rigid 3D object retrieval using topological information guided by conformal factors
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
SHREC 2011: robust feature detection and description benchmark
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
SHREC'11 track: shape retrieval on non-rigid 3D watertight meshes
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Intrinsic local symmetries: a computational framework
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Spectral analysis driven sparse matching of 3D shapes
EG 3DOR'12 Proceedings of the 5th Eurographics conference on 3D Object Retrieval
Scale Normalization for Isometric Shape Matching
Computer Graphics Forum
Correspondences of persistent feature points on near-isometric surfaces
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Schrödinger diffusion for shape analysis with texture
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
A Performance Evaluation of Volumetric 3D Interest Point Detectors
International Journal of Computer Vision
Feature-Preserved 3D Canonical Form
International Journal of Computer Vision
Empowering materiality: inspiring the design of tangible interactions
Proceedings of the 7th International Conference on Tangible, Embedded and Embodied Interaction
Injective and bounded distortion mappings in 3D
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Map-based exploration of intrinsic shape differences and variability
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
ε-Isometry based shape approximation for image content representation
Signal Processing
The persistence space in multidimensional persistent homology
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
A study of monodromy in the computation of multidimensional persistence
DGCI'13 Proceedings of the 17th IAPR international conference on Discrete Geometry for Computer Imagery
ElastiFace: matching and blending textured faces
Proceedings of the Symposium on Non-Photorealistic Animation and Rendering
A multiresolution descriptor for deformable 3D shape retrieval
The Visual Computer: International Journal of Computer Graphics
ACM Transactions on Graphics (TOG)
Diffusion pruning for rapidly and robustly selecting global correspondences using local isometry
ACM Transactions on Graphics (TOG)
FIMH'13 Proceedings of the 7th international conference on Functional Imaging and Modeling of the Heart
CM-BOF: visual similarity-based 3D shape retrieval using Clock Matching and Bag-of-Features
Machine Vision and Applications
Comparing shapes through multi-scale approximations of the matching distance
Computer Vision and Image Understanding
Shape matching via quotient spaces
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Consistent shape maps via semidefinite programming
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
Automatic shape expansion with verification to improve 3D retrieval, classification and matching
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
Local signature quantization by sparse coding
3DOR '13 Proceedings of the Sixth Eurographics Workshop on 3D Object Retrieval
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Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. In recent years, non-rigid shapes have attracted growing interest, which has led to rapid development of the field, where state-of-the-art results from very different sciences - theoretical and numerical geometry, optimization, linear algebra, graph theory, machine learning and computer graphics, to mention several - are applied to find solutions. This book gives an overview of the current state of science in analysis and synthesis of non-rigid shapes. Everyday examples are used to explain concepts and to illustrate different techniques. The presentation unfolds systematically and numerous figures enrich the engaging exposition. Practice problems follow at the end of each chapter, with detailed solutions to selected problems in the appendix. A gallery of colored images enhances the text. This book will be of interest to graduate students, researchers and professionals in different fields of mathematics, computer science and engineering. It may be used for courses in computer vision, numerical geometry and geometric modeling and computer graphics or for self-study.