Multiresolution elastic matching
Computer Vision, Graphics, and Image Processing
Performance of optical flow techniques
International Journal of Computer Vision
International Journal of Computer Vision
Diffeomorphisms Groups and Pattern Matching in Image Analysis
International Journal of Computer Vision
Computing optical flow via variational techniques
SIAM Journal on Applied Mathematics
Design and Use of Linear Models for Image Motion Analysis
International Journal of Computer Vision
Image Registration, Optical Flow and Local Rigidity
Journal of Mathematical Imaging and Vision
Computer Vision, Virtual Reality, and Robotics in Medicine: First International Conference, CVRMed '95, Nice, France, April 3-6, 1995, Proceedings
Detecting and Tracking Multiple Moving Objects Using Temporal Integration
ECCV '92 Proceedings of the Second European Conference on Computer Vision
Optical Flow Using Overlapped Basis Functions for Solving Global Motion Problems
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Discrete Wavelet Analysis: A New Framework for Fast Optic Flow Computation
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume II - Volume II
Fast Fluid Registration of Medical Images
VBC '96 Proceedings of the 4th International Conference on Visualization in Biomedical Computing
A Level-Set Based Approach to Image Registration
MMBIA '00 Proceedings of the IEEE Workshop on Mathematical Methods in Biomedical Image Analysis
Dense estimation and object-based segmentation of the optical flow with robust techniques
IEEE Transactions on Image Processing
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We address the theoretical problems of optical flow estimation and image registration in a multi-scale framework in any dimension. Much work has been done based on the minimization of a distance between a first image and a second image after applying deformation or motion field. We discuss the classical multiscale approach and point out the problem of validity of the motion constraint equation (MCE) at lower resolutions. We introduce a new local rigidity hypothesis allowing to write proof of such a validity. This allows us to derive sufficient conditions for convergence of a new multi-scale and iterative motion estimation/ registration scheme towards a global minimum of the usual nonlinear energy instead of a local minimum as did all previous methods. Although some of the sufficient conditions cannot always be fulfilled because of the absence of the necessary a priori knowledge on the motion, we use an implicit approach. We illustrate our method by showing results on synthetic and real examples (Motion, Registration, Morphing), including large deformation experiments.