Computer Vision and Image Understanding
Shape analysis of local facial patches for 3D facial expression recognition
Pattern Recognition
Parameterization-invariant shape statistics and probabilistic classification of anatomical surfaces
IPMI'11 Proceedings of the 22nd international conference on Information processing in medical imaging
Proceedings of the 2011 Workshop on Historical Document Imaging and Processing
Image and Vision Computing
Fitting smoothing splines to time-indexed, noisy points on nonlinear manifolds
Image and Vision Computing
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
A Reparameterisation Based Approach to Geodesic Constrained Solvers for Curve Matching
International Journal of Computer Vision
Time-Discrete Geodesics in the Space of Shells
Computer Graphics Forum
Elastic shape matching of parameterized surfaces using square root normal fields
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part V
Modeling dynamic cellular morphology in images
MICCAI'12 Proceedings of the 15th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
A structured template based 3D face recognition approach
Proceedings of the 27th Conference on Image and Vision Computing New Zealand
Generative models for functional data using phase and amplitude separation
Computational Statistics & Data Analysis
Multiple graph regularized nonnegative matrix factorization
Pattern Recognition
Global structure constrained local shape prior estimation for medical image segmentation
Computer Vision and Image Understanding
Statistical analysis of manual segmentations of structures in medical images
Computer Vision and Image Understanding
IDiff: irrotational diffeomorphisms for computational anatomy
IPMI'13 Proceedings of the 23rd international conference on Information Processing in Medical Imaging
Computer Vision and Image Understanding
3D human motion analysis framework for shape similarity and retrieval
Image and Vision Computing
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This paper introduces a square-root velocity (SRV) representation for analyzing shapes of curves in euclidean spaces under an elastic metric. In this SRV representation, the elastic metric simplifies to the {\hbox{\rlap{I}\kern 2.0pt{\hbox{L}}}}^2 metric, the reparameterization group acts by isometries, and the space of unit length curves becomes the unit sphere. The shape space of closed curves is the quotient space of (a submanifold of) the unit sphere, modulo rotation, and reparameterization groups, and we find geodesics in that space using a path straightening approach. These geodesics and geodesic distances provide a framework for optimally matching, deforming, and comparing shapes. These ideas are demonstrated using: 1) shape analysis of cylindrical helices for studying protein structure, 2) shape analysis of facial curves for recognizing faces, 3) a wrapped probability distribution for capturing shapes of planar closed curves, and 4) parallel transport of deformations for predicting shapes from novel poses.