Title :
Pareto optimal nonlinear filters for image enhancement
Author :
Shcherbakov, Michael A.
Author_Institution :
IV, State Tech. Univ. of Penza, Russia
Abstract :
A new method for a design of polynomial filters based on the Volterra series expansion is presented. The problem of nonlinear filter design is considered as a multi-objective problem and is solved by using an optimization approach. A theoretical background of the proposed method is stated. The obtained results allow one to design Pareto optimal filters in the presence of several conflicting criteria. In this case, the optimal nonlinear filter is characterized by a filter plane, which is tangent to a convex optimal decision function. The issue of reasonable choice of the design parameters defining the nonlinear filter performance is discussed. Examples of design, together with a performance comparison with other known nonlinear operators on simulated images, complete the article
Keywords :
Volterra series; circuit optimisation; filtering theory; image enhancement; nonlinear filters; probability; Pareto optimal nonlinear filters; Volterra series expansion; convex optimal decision function; design parameters; filter plane; image enhancement; multiobjective problem; nonlinear filter design; nonlinear filter performance; nonlinear operators; optimization; performance comparison; polynomial filters design; simulated images; Design methodology; Design optimization; Ear; Graphics; Image enhancement; Image processing; Noise cancellation; Nonlinear filters; Polynomials; Signal processing;
Conference_Titel :
Image Processing, 1996. Proceedings., International Conference on
Conference_Location :
Lausanne
Print_ISBN :
0-7803-3259-8
DOI :
10.1109/ICIP.1996.559612
