IEEE Transactions on Pattern Analysis and Machine Intelligence
The Geometry of Differential Operators with Application to Image Processing
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mathematical Programming: Series A and B
Computational anatomy: an emerging discipline
Quarterly of Applied Mathematics - Special issue on current and future challenges in the applications of mathematics
Fractional Splines and Wavelets
SIAM Review
Highly Accurate Optic Flow Computation with Theoretically Justified Warping
International Journal of Computer Vision
A comparison of three total variation based texture extraction models
Journal of Visual Communication and Image Representation
Fractional Variational Model and Algorithm for Image Denoising
ICNC '08 Proceedings of the 2008 Fourth International Conference on Natural Computation - Volume 05
α scale spaces on a bounded domain
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
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We introduce a method for volumetric cardiac motion analysis using variational optical flow computation involving the prior with the fractional order differentiations. The order of the differentiation of the prior controls the continuity class of the solution. Fractional differentiations is a typical tool for edge detection of images. As a sequel of image analysis by fractional differentiation, we apply the theory of fractional differentiation to a temporal image sequence analysis. Using the fractional order differentiations, we can estimate the orders of local continuities of optical flow vectors. Therefore, we can obtain the optical flow vector with the optimal continuity at each point.