Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Shape Modeling with Front Propagation: A Level Set Approach
IEEE Transactions on Pattern Analysis and Machine Intelligence
Active shape models—their training and application
Computer Vision and Image Understanding
International Journal of Computer Vision
Scale-Space Properties of the Multiscale Morphological Dilation-Erosion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Distortion Invariant Object Recognition in the Dynamic Link Architecture
IEEE Transactions on Computers
Intrinsic Scale Space for Images on Surfaces: The Geodesic Curvature Flow
SCALE-SPACE '97 Proceedings of the First International Conference on Scale-Space Theory in Computer Vision
A Scale-Space Approach to Nonlocal Optical Flow Calculations
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
A Level Set Model for Image Classification
SCALE-SPACE '99 Proceedings of the Second International Conference on Scale-Space Theories in Computer Vision
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
A Distance for Elastic Matching in Object Recognition
ICPR '96 Proceedings of the 1996 International Conference on Pattern Recognition (ICPR '96) Volume I - Volume 7270
A Geometric Approach to Segmentation and Analysis of 3D Medical Images
MMBIA '96 Proceedings of the 1996 Workshop on Mathematical Methods in Biomedical Image Analysis (MMBIA '96)
The Representation and Matching of Pictorial Structures
IEEE Transactions on Computers
Deformable templates for face recognition
Journal of Cognitive Neuroscience
Using Prior Shapes in Geometric Active Contours in a Variational Framework
International Journal of Computer Vision
A Feature-based Approach for Dense Segmentation and Estimation of Large Disparity Motion
International Journal of Computer Vision
A Coupled Minimization Problem for Medical Image Segmentation with Priors
International Journal of Computer Vision
International Journal of Computer Vision
Nonlinear manifold learning for dynamic shape and dynamic appearance
Computer Vision and Image Understanding
Nonparametric shape priors for active contour-based image segmentation
Signal Processing
Towards a measure of deformability of shape sequences
Pattern Recognition Letters
Dynamic Shape and Appearance Modeling via Moving and Deforming Layers
International Journal of Computer Vision
Tracklet descriptors for action modeling and video analysis
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
SIAM Journal on Imaging Sciences
Simultaneous registration and segmentation of anatomical structures from brain MRI
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
A variational PDE based level set method for a simultaneous segmentation and non-rigid registration
MICCAI'05 Proceedings of the 8th international conference on Medical Image Computing and Computer-Assisted Intervention - Volume Part I
Dynamic shape and appearance modeling via moving and deforming layers
EMMCVPR'05 Proceedings of the 5th international conference on Energy Minimization Methods in Computer Vision and Pattern Recognition
VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
Sparse Occlusion Detection with Optical Flow
International Journal of Computer Vision
Spaces and manifolds of shapes in computer vision: An overview
Image and Vision Computing
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
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What does it mean for a deforming object to be "moving" (see Fig. 1)? How can we separate the overall motion (a finite-dimensional group action) from the more general deformation (a diffeomorphism)? In this paper we propose a definition of motion for a deforming object and introduce a notion of "shape average" as the entity that separates the motion from the deformation. Our definition allows us to derive novel and efficient algorithms to register non-equivalent shapes using region-based methods, and to simultaneously approximate and register structures in grey-scale images. We also extend the notion of shape average to that of a "moving average" in order to track moving and deforming objects through time.