On a functional depending on curvature and edges
On the jump set of solutions of the total variation flow
On the regularity of edges in image segmentation
On the singular decomposition of matrices.
Optimal segmentation of unbounded functions
Optimization of the maximum likelihood estimator for determining the intrinsic dimensionality of high-dimensional data
One of the problems in the analysis of the set of images of a moving object is to evaluate the degree of freedom of motion and the angle of rotation. Here the intrinsic dimensionality of multidimensional data, characterizing the set of images, can be used. Usually, the image may be represented by a high-dimensional point whose dimensionality depends on the number of pixels in the image. The knowledge of the intrinsic dimensionality of a data set is very useful information in exploratory data analysis,...
Ordinary and directed combinatorial homotopy, applied to image analysis and concurrency.