Abstract
We propose an algorithm providing an abstract representation of any polygonal object O in terms of spheres. The result is a graph-based skeleton capturing the general shape of O and its inner structure (respective positions of convex parts and their thickness). We define a first-order logic language expressing in a qualitative way the needed notions (distance, size and angle). Last, we propose methods to compare shapes using this graph-based skeleton of objects.
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Dugat, V., Gambarotto, P. & Larvor, Y. Qualitative Geometry for Shape Recognition. Applied Intelligence 17, 253–263 (2002). https://doi.org/10.1023/A:1020035315574
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DOI: https://doi.org/10.1023/A:1020035315574