of an image. Searching for images using shape features has attracted much attention. There are many shape representation and description techniques in the literature. In this paper, we classify and review these important techniques. We examine implementation procedures for each technique and discuss its

this paper we propose an approach that attempts to solve this conflict by using the duality in a way similar to the approach. Several psychophysical experiments have proved that the hu- man eye is able to capture the main shape of an object by seeing only a few characteristic elements or features

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Different geometric structures are investigated in the context of discrete surface representation. It is shown that minimal representations (i.e., polyhedra) can be provided by a surface-based method using nearest neighbors structures or by a volume-based method using the Delaunay triangulation

Boundaries are closely related to shape and it is in the context of shape representation that the problem of undetermined boundaries appears in spatial reasoning. Shape indeterminacy may occur at different levels of abstraction, namely at the topological and the geometrical level. It shows

in this case are nothing but the result of the scalar inner product of the coordinates treated as a smooth function on the surface of the shape and the eigenfunctions that form the orthonormal basis. Keeping only the significant coefficients allows for efficient representation of a given shape under practical

objects are well represented by a small number of multiwavelet coefficients allowing for a compact object shape representation.

The choice of a representation i.e. the definition of the search space, is of vital importance in all Evolutionary Optimization processes. In the context of Topological Optimum Design in Structural Mechanics, this paper investigates possible representations for evolutionary shape design.

In this paper, we propose a computational model of the recognition of real world scenes that bypasses the segmentation and the processing of individual objects or regions. The procedure is based on a very low dimensional representation of the scene, that we term the Spatial Envelope. We propose a

effects on a polygon. This method has very fast per-pixel shape representation and can be performed in real-time with current hardware.