Anisotropic diffusion is a well-recognized tool in digital image processing, including edge detection and focusing. We present here a particular nonlinear time-dependent operator together with an appropriate high-order discretization for the space variable. In just a single step, the procedure emphasizes the contour lines encircling the objects, paving the way to accurate reconstructions at a very low cost. One of the main features of such an approach is the possibility of relying on a rather large set of invariant discontinuous images, whose edges can be determined without introducing any approximation.
High-Order Discretization of Backward Anisotropic Diffusion and Application to Image Processing / Funaro, Daniele; Fatone, Lorella. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SCIENZE MATEMATICHE. - ISSN 1827-1510. - 68:2(2022), pp. 295-310. [10.1007/s11565-022-00419-4]
High-Order Discretization of Backward Anisotropic Diffusion and Application to Image Processing
Daniele Funaro;Lorella Fatone
2022
Abstract
Anisotropic diffusion is a well-recognized tool in digital image processing, including edge detection and focusing. We present here a particular nonlinear time-dependent operator together with an appropriate high-order discretization for the space variable. In just a single step, the procedure emphasizes the contour lines encircling the objects, paving the way to accurate reconstructions at a very low cost. One of the main features of such an approach is the possibility of relying on a rather large set of invariant discontinuous images, whose edges can be determined without introducing any approximation.File | Dimensione | Formato | |
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