Heat Equations on Vector Bundles—Application to Color Image Regularization

Author:

Batard Thomas

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Computer Vision and Pattern Recognition,Condensed Matter Physics,Modeling and Simulation,Statistics and Probability

Reference19 articles.

1. Aubert, G., Kornprobst, P.: Mathematical Problems in Image Processing: Partial Differential Equations and the Calculus of Variations. Springer, Berlin (2006)

2. Batard, T.: Clifford bundles: a common framework for images. Vector fields and orthonormal frame fields regularization. SIAM J. Imaging Sci. 3(3), 670–701 (2010)

3. Batard, T., Berthier, M.: Heat kernels of generalized Laplacians: applications to color images smoothing. In: Proceedings of IEEE International Conference on Image Processing ICIP (2009)

4. Batard, T., Saint-Jean, C., Berthier, M.: A Metric Approach to nD Images Edge Detection with Clifford Algebras. J. Math. Imaging Vis. 33(3), 293–312 (2009)

5. Batard, T., Berthier, M., Saint-Jean, C.: Clifford-Fourier transform for color image processing. In: Bayro-Corrochano, E., Scheuermann, G. (eds.) Geometric Algebra Computing for Engineering and Computer Science. Springer, London (2010)

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