Illposed problems and regularization analysis in early vision
Abstract
One of the best definitions of early vision is that it is inverse opticsa set of computational problems that both machines and biological organisms have to solve. While in classical optics the problem is to determine the images of physical objects, vision is confronted with the inverse problem of recovering threedimensional shape from the light distribution in the image. Most processes of early vision such as stereomatching, computation of motion and all the structure from processes can be regarded as solutions to inverse problems. This common characteristic of early vision can be formalized: most early vision problems are illposed problems in the sense of Hadamard. It is shown that a mathematical theory developed for regularizing illposed problems lease in a natural way to the solution of early vision problems in terms of variational principles of a certain class. This is a new theoretical framework for some of the variational solutions already obtained in the analysis of early vision processes. It also shows how several other problems in early vision can be approached and solved.
 Publication:

Unknown
 Pub Date:
 April 1984
 Bibcode:
 1984ippr.book.....P
 Keywords:

 Inversions;
 Optics;
 Three Dimensional Motion;
 Vision;
 Computation;
 Detection;
 Edges;
 Images;
 Problem Solving;
 Shapes;
 Solutions;
 Variational Principles;
 Optics