Shape alignment—optimal initial point and pose estimation
Pattern Recognition Letters
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Shape Similarity Measure Based on Correspondence of Visual Parts
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unsupervised Learning of Finite Mixture Models
IEEE Transactions on Pattern Analysis and Machine Intelligence
Non-Rigid Shape Comparison of Plane Curves in Images
Journal of Mathematical Imaging and Vision
Group Actions, Homeomorphisms, and Matching: A General Framework
International Journal of Computer Vision - Special issue on statistical and computational theories of vision: Part II
IEEE Transactions on Pattern Analysis and Machine Intelligence
Nonlinear Shape Statistics in Mumford-Shah Based Segmentation
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Tracking Meteorological Structures through Curves Matching Using Geodesic Paths
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Monte Carlo extrinsic estimators of manifold-valued parameters
IEEE Transactions on Signal Processing
Asymptotic performance analysis of Bayesian target recognition
IEEE Transactions on Information Theory
Statistical Shape Analysis: Clustering, Learning, and Testing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Object recognition with uncertain geometry and uncertain part detection
Computer Vision and Image Understanding
Wavelet Approximation-Based Affine Invariant Shape Representation Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Learning Shape-Classes Using a Mixture of Tree-Unions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Contour Inferences for Image Understanding
International Journal of Computer Vision
Kernel Density Estimation and Intrinsic Alignment for Shape Priors in Level Set Segmentation
International Journal of Computer Vision
Integral Invariants for Shape Matching
IEEE Transactions on Pattern Analysis and Machine Intelligence
Three-Dimensional Face Recognition Using Shapes of Facial Curves
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Representation and Classification Using the Poisson Equation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Description and retrieval of 3D face models using iso-geodesic stripes
MIR '06 Proceedings of the 8th ACM international workshop on Multimedia information retrieval
Geodesic Matching with Free Extremities
Journal of Mathematical Imaging and Vision
Harmonic Embeddings for Linear Shape Analysis
Journal of Mathematical Imaging and Vision
A spectral approach to learning structural variations in graphs
Pattern Recognition
On Shape of Plane Elastic Curves
International Journal of Computer Vision
Efficient Shape Modeling: ⋮-Entropy, Adaptive Coding, and Boundary Curves -vs- Blum's Medial Axis
International Journal of Computer Vision
Geometric modeling in shape space
ACM SIGGRAPH 2007 papers
Generalized surface flows for mesh processing
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Nonparametric shape priors for active contour-based image segmentation
Signal Processing
Computerized girth determination for custom footwear manufacture
Computers and Industrial Engineering
Shape understanding system: 3D interpretation as a part of the visual concept formation
Machine Graphics & Vision International Journal
The one- and multi-sample problem for functional data with application to projective shape analysis
Journal of Multivariate Analysis
Large Deformation Diffeomorphic Metric Curve Mapping
International Journal of Computer Vision
A Context Dependent Distance Measure for Shape Clustering
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing, Part II
Intrinsic Bayesian Active Contours for Extraction of Object Boundaries in Images
International Journal of Computer Vision
An Intrinsic Framework for Analysis of Facial Surfaces
International Journal of Computer Vision
Shape of Elastic Strings in Euclidean Space
International Journal of Computer Vision
Elastic Shape Models for Face Analysis Using Curvilinear Coordinates
Journal of Mathematical Imaging and Vision
Statistical Computing on Manifolds: From Riemannian Geometry to Computational Anatomy
Emerging Trends in Visual Computing
A generative model for graph matching and embedding
Computer Vision and Image Understanding
Nasal Region Contribution in 3D Face Biometrics Using Shape Analysis Framework
ICB '09 Proceedings of the Third International Conference on Advances in Biometrics
Shape Metrics Based on Elastic Deformations
Journal of Mathematical Imaging and Vision
Elastic Morphing of 2D and 3D Objects on a Shape Manifold
ICIAR '09 Proceedings of the 6th International Conference on Image Analysis and Recognition
Probabilistic models for shapes as continuous curves
Journal of Mathematical Imaging and Vision
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
Morphological Exploration of Shape Spaces
ISMM '09 Proceedings of the 9th International Symposium on Mathematical Morphology and Its Application to Signal and Image Processing
Rank based 2-D shape classification
ICCOMP'09 Proceedings of the WSEAES 13th international conference on Computers
Object recognition with uncertain geometry and uncertain part detection
Computer Vision and Image Understanding
Group-Wise Point-Set Registration Using a Novel CDF-Based Havrda-Charvát Divergence
International Journal of Computer Vision
Instance-based generative biological shape modeling
ISBI'09 Proceedings of the Sixth IEEE international conference on Symposium on Biomedical Imaging: From Nano to Macro
DSP'09 Proceedings of the 16th international conference on Digital Signal Processing
Kullback Leibler divergence based curve matching method
SSVM'07 Proceedings of the 1st international conference on Scale space and variational methods in computer vision
Extracting salient points and parts of shapes using modified kd-trees
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Intrinsic mean for semi-metrical shape retrieval via graph cuts
Proceedings of the 29th DAGM conference on Pattern recognition
A Computational Model of Multidimensional Shape
International Journal of Computer Vision
Geometric feature-based skin image classification
ICIC'07 Proceedings of the intelligent computing 3rd international conference on Advanced intelligent computing theories and applications
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
Shape analysis of open curves in R3with applications to study of fiber tracts in DT-MRI data
EMMCVPR'07 Proceedings of the 6th international conference on Energy minimization methods in computer vision and pattern recognition
Manifold embedding for shape analysis
Neurocomputing
Object segmentation by traversing a pose-shape manifold
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Piecewise approximation of contours through scale-space selection of dominant points
IEEE Transactions on Image Processing
TAR based shape features in unconstrained handwritten digit recognition
WSEAS Transactions on Computers
Protein structure alignment using elastic shape analysis
Proceedings of the First ACM International Conference on Bioinformatics and Computational Biology
Relational generalizations of cluster validity indices
IEEE Transactions on Fuzzy Systems
A game theoretic approach to learning shape categories and contextual similarities
SSPR&SPR'10 Proceedings of the 2010 joint IAPR international conference on Structural, syntactic, and statistical pattern recognition
Elastic-string models for representation and analysis of planar shapes
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
Geodesic Methods in Computer Vision and Graphics
Foundations and Trends® in Computer Graphics and Vision
Learning shape detector by quantizing curve segments with multiple distance metrics
ECCV'10 Proceedings of the 11th European conference on computer vision conference on Computer vision: Part III
Computer Vision and Image Understanding
Face contour construction with multiple information
FGR' 04 Proceedings of the Sixth IEEE international conference on Automatic face and gesture recognition
A Continuum Mechanical Approach to Geodesics in Shape Space
International Journal of Computer Vision
A Probabilistic Contour Observer for Online Visual Tracking
SIAM Journal on Imaging Sciences
Shape matching by variational computation of geodesics on a manifold
DAGM'06 Proceedings of the 28th conference on Pattern Recognition
An information-geometric framework for statistical inferences in the neural spike train space
Journal of Computational Neuroscience
Geodesics between 3d closed curves using path-straightening
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Elastic shape models for interpolations of curves in image sequences
IPMI'05 Proceedings of the 19th international conference on Information Processing in Medical Imaging
Statistical shape models using elastic-string representations
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Simultaneous nonrigid registration of multiple point sets and atlas construction
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Shape matching using a binary search tree structure of weak classifiers
Pattern Recognition
A computational approach to fisher information geometry with applications to image analysis
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
One-Shot integral invariant shape priors for variational segmentation
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
Cyclostationary processes on shape spaces for gait-based recognition
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Human activity modeling as brownian motion on shape manifold
SSVM'11 Proceedings of the Third international conference on Scale Space and Variational Methods in Computer Vision
An Improved Brain Image Classification Technique with Mining and Shape Prior Segmentation Procedure
Journal of Medical Systems
Image and Vision Computing
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
SIAM Journal on Imaging Sciences
Selecting 3D curves on the nasal surface using AdaBoost for person authentication
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Human activity modeling on shape manifold
EG 3DOR'11 Proceedings of the 4th Eurographics conference on 3D Object Retrieval
Multiple object tracking via prediction and filtering with a sobolev-type metric on curves
ECCV'12 Proceedings of the 12th international conference on Computer Vision - Volume Part I
Generative models for functional data using phase and amplitude separation
Computational Statistics & Data Analysis
Shape description from generalized support functions
Pattern Recognition Letters
Planar shape interpolation with bounded distortion
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
Robust diffeomorphic mapping via geodesically controlled active shapes
Journal of Biomedical Imaging
Journal of Multivariate Analysis
Computer Vision and Image Understanding
Geodesic Regression and the Theory of Least Squares on Riemannian Manifolds
International Journal of Computer Vision
3D human motion analysis framework for shape similarity and retrieval
Image and Vision Computing
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Abstract--For analyzing shapes of planar, closed curves, we propose differential geometric representations of curves using their direction functions and curvature functions. Shapes are represented as elements of infinite-dimensional spaces and their pairwise differences are quantified using the lengths of geodesics connecting them on these spaces. We use a Fourier basis to represent tangents to the shape spaces and then use a gradient-based shooting method to solve for the tangent that connects any two shapes via a geodesic. Using the Surrey fish database, we demonstrate some applications of this approach: 1) interpolation and extrapolations of shape changes, 2) clustering of objects according to their shapes, 3) statistics on shape spaces, and 4) Bayesian extraction of shapes in low-quality images.