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With the rapid development of computing power and information processing ability, some efficient numerical methods are developed to deal with the complex problems. In this paper, efficient finite difference method is introduced to solve the nonlinear Laplacian problem, in which two variables can be approximated simultaneously. Calculation scheme is(More)
In this paper, we study qualitative topological analysis of spaces of natural images locally. We apply the techniques of computational topology to the space of 3×3, 4×4, 5×5, 6×6 and 7×7 high-contrast patches. We show that in each case there is a subspace of the space of all high-contrast patches that is topologically equivalent to the Klein bottle and we(More)
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