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A method of digital figure decomposition based on distance feature

This paper proposes a method of decomposing a D-figure based on the distance features of the figure. This method, called “breaking where it can be broken,” can be applied to digital figures of arbitrary dimension and is designed to produce the familiar decomposition which corresponds to the physical image when the rigid body has a weakness in its figure. 
 
 
 
When the information available about the digital picture is black-and-white, the decomposition of the figure must be based only on topological properties such as 1-pixel connectivity, construction of a good figure decomposition is difficult because of the limited information. 
 
 
 
First, the definition of the decomposition of a D-figure is given. Then the algorithm which realizes it in the digital space is presented. Finally, the results of experiments with the two-dimensional (2-D) D-figure decomposition of artificial figures are given and the usefulness of this method is illustrated with a practical example, the analysis of a 3-D D-figure of a medical picture.