Abstract
In several image processing applications one has to deal with noisy images defined on surfaces, like electric impulsions or diffusion tensors on the cortex. We propose a new regularization technique for data defined on triangulated surfaces: the Beltrami flow over intrinsic manifolds. This technique overcomes the over – smoothing of the L 2 and the stair-casing effects of the L 1 flow for strongly noised images. To do so, we locally estimate the differential operators and then perform temporal finite differences. We present the implementation for scalar images defined in 2 dimensional manifolds and experimental results.
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Lopez-Perez, L., Deriche, R., Sochen, N. (2004). The Beltrami Flow over Triangulated Manifolds. In: Sonka, M., Kakadiaris, I.A., Kybic, J. (eds) Computer Vision and Mathematical Methods in Medical and Biomedical Image Analysis. MMBIA CVAMIA 2004 2004. Lecture Notes in Computer Science, vol 3117. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-27816-0_12
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DOI: https://doi.org/10.1007/978-3-540-27816-0_12
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22675-8
Online ISBN: 978-3-540-27816-0
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