Tolerance Approach to Visual Shape Perception and Image Matching Analysis forModeling of Micro-Heterogeneous Materials

摘要

The aim of this paper is twofold. First, we propose a mathematical model of howthe visible shapes of illuminated material objects are perceived. The leading assumption is that the visual shape perception depends not only on the received two dimensional images, but also on certain 'higher level knowledge' about the viewed objects ('we perceive what we expect to perceive'). The model obtained is represented by the image tolerance relation between the expected and received monochromatic images. On this basis the perceptable shapes of objects can be determined. The second aim of this paper is to show how the proposed image tolerance analysis can be applied to the formation of the representative distributions of constituents for certain micro-heterogeneous material structures.