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
Tracking level sets by level sets: a method for solving the shape from shading problem
Computer Vision and Image Understanding
International Journal of Computer Vision
Computable elastic distances between shapes
SIAM Journal on Applied Mathematics
Shock Graphs and Shape Matching
International Journal of Computer Vision
Distortion Invariant Object Recognition in the Dynamic Link Architecture
IEEE Transactions on Computers
Generalized Image Matching: Statistical Learning of Physically-Based Deformations
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
A New Distance Measure for Non-rigid Image Matching
EMMCVPR '99 Proceedings of the Second International Workshop on Energy Minimization Methods in Computer Vision and Pattern Recognition
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
Non-rigid registration using distance functions
Computer Vision and Image Understanding - Special issue on nonrigid image registration
Prior-based Segmentation and Shape Registration in the Presence of Perspective Distortion
International Journal of Computer Vision
Shape-Based Mutual Segmentation
International Journal of Computer Vision
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We present a variational approach to the problem of registering planar shapes despite missing parts. Registration is achieved through the evolution of a partial differential equation that simultaneously estimates the shape of the missing region, the underlying "complete shape" and the collection of group elements (Euclidean or affine) corresponding to the registration. Our technique applies both to shapes, for instance represented as characteristic functions (binary images), and to grayscale images, where all intensity levels evolve simultaneously in a partial differential equation. It can therefore be used to perform "region inpainting" and to register collections of images despite occlusions. The novelty of the approach lies on the fact that, rather than estimating the missing region in each image independently, we pose the problem as a joint registration with respect to an underlying "complete shape" from which the complete version of the original data is obtained via a group action.