A survey of shape analysis techniques

A technique for decomposing a binary shape into a union of simple binary shapes is presented. The decomposition is shown to be unique and invariant to translation, rotation, and scaling. The techniques used in the decomposition are based on mathematical morphology. The shape description produced can be used in object recognition and in binary image coding. >

Morphological shape decomposition

Oftentimes the level of complexity of a structure requires the analyst to idealize the finite element model, so that a solution may be obtained within a reasonable time scale. This paper describes some operations that have been defined and implemented which allow the user to reduce the dimensionality of geometric models automatically using a novel decomposition and reduction method. The model is first decomposed into simpler solids, and these solids undergo a reduction process to extract their midsurfaces. In some cases, not every part of the model can be reduced and thus, a non-manifold geometric model, suitable for mixed finite element modeling, is generated.

A. Maglara

Papers

Range image analysis by using morphological signal decomposition