Diffusions and Confusions in Signal and Image Processing
In this paper we link, through simple examples, between three basic approaches for signal and image denoising and segmentation: (1) PDE axiomatics, (2) energy minimization and (3) adaptive filtering. We show the relation between PDE's that are derived ...
Boundary Smoothing via Symmetry Transforms
This paper proposes a smoothing technique for shape based on a perturbation analysis of the underlying medial axis, and by iteratively removing skeletal branches. While medial axis regularization usually aims at dealing with its sensitivity in the ...
Multiple Contour Finding and Perceptual Grouping using Minimal Paths
We address the problem of finding a set of contour curves in an image. We consider the problem of perceptual grouping and contour completion, where the data is a set of points in the image. A new method to find complete curves from a set of contours or ...
Optimal Algorithm for Shape from Shading and Path Planning
An optimal algorithm for the reconstruction of a surface from its shading image is presented. The algorithm solves the 3D reconstruction from a single shading image problem. The shading image is treated as a penalty function and the height of the ...
Variational Optic Flow Computation with a Spatio-Temporal Smoothness Constraint
Nonquadratic variational regularization is a well-known and powerful approach for the discontinuity-preserving computation of optic flow. In the present paper, we consider an extension of flow-driven spatial smoothness terms to spatio-temporal ...
Non-Parametric Motion Activity Analysis for Statistical Retrieval with Partial Query
We present an original approach for motion-based video retrieval involving partial query. More precisely, we propose a unified statistical framework allowing us to simultaneously extract entities of interest in video shots and supply the associated ...
Edge Detection by Helmholtz Principle
We apply to edge detection a recently introduced method for computing geometric structures in a digital image, without any a priori information. According to a basic principle of perception due to Helmholtz, an observed geometric structure is ...
Statistical Image Object Recognition using Mixture Densities
In this paper, we present a mixture density based approach to invariant image object recognition. To allow for a reliable estimation of the mixture parameters, the dimensionality of the feature space is optionally reduced by applying a robust variant of ...
