Accession Number : ADA189568

Title :   Homotopies: A Panacea or Just Another Method?

Descriptive Note : Technical rept.,

Corporate Author : ROCHESTER UNIV NY DEPT OF COMPUTER SCIENCE

Personal Author(s) : Rigoutsos, Isidore

PDF Url : ADA189568

Report Date : Dec 1986

Pagination or Media Count : 27

Abstract : A general framework is presented for the solving of non-linear equations. Also, a discussion about its potential applications in the field of computer vision is made and illustrated by an example that shows how one can relate the solutions to the shape-from-shading problem through scale space. The methods presented seem to have been known since the 19th century; however, it was not until 1953 that the first practical applications of the relevant idea appeared. Keywords: Non-linear equations, Shape-from-shading, Scale space, Homotopies, Path following, Hilbert space, Continuation methods.

Descriptors :   *VISION, *IMAGE PROCESSING, COMPUTERS, HILBERT SPACE, NONLINEAR ALGEBRAIC EQUATIONS, SHADOWS, ROBOTICS, OPERATORS(MATHEMATICS), MAPPING(TRANSFORMATIONS)

Subject Categories : Cybernetics

Distribution Statement : APPROVED FOR PUBLIC RELEASE