Edge examination using Hölder exponent and image statistics

In image processing edges are observed as singularities. Calculating gradient is regular procedure for locating edges within the image. However, there are edges with different order of that given by gradient. Hölder exponent gives mathematical background for different types of edges considering differentiation. In this paper we analyze some well known capacities, needed in pointwise Hölder exponent calculation, and introduce a new capacity measure based on local image statistics.