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Multiresolution representations of discrete patterns are of great interest, specially when working with volume images. The huge amount of data that volume images contain at high resolution can be considerably compressed at lower resolution, and while the obtained representation still can be suited for simple shape analysis tasks, provided that shape is adequately preserved when resolution decreases. In this paper, we present new methods for building shape preserving binary resolution pyramids in three dimensions. The performance of the methods is quantitatively evaluated.

Multiresolution representation of shapes in binary images II: Volume images