The computer description of shape and the computer manipulation of shape is complex simply because shape itself is complex. Of course, if the world of shape were limited to the Euclidean shapes, there would be no such complexity. However, shape includes all the varieties of biological shapes: from the shapes of trees and their leaves to fish, animals, flowers, and plants – and also natural shapes, such as those of coastlines, and of rocks and crystals.

Mathematics of Shape Description A Morphological Approach to Image Processing and Computer Graphics.pdf

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