ALEX BELYAEV: ON IMPLICIT IMAGE DERIVATIVES AND THEIR APPLICATIONS 1 On Implicit Image Derivatives and Their Applications
نویسنده
چکیده
The paper demonstrates advantages of using implicit finite differences for fast, accurate, and reliable differentiating and filtering of multidimensional signals defined on regular grids. In particular, applications to image enhancement and edge detection problems are considered. The theoretical contribution of the paper is threefold. The first adapts the Fourier-Padé-Galerkin approximations approach for constructing compact implicit finite difference schemes with desirable spectral resolution properties. The second establishes a link between implicit and explicit finite differences used for gradient direction estimation. Finally, the third one consists of introducing new implicit finite difference schemes with good spectral resolution properties.
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On Implicit Image Derivatives and Their Applications
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