Parts, wholes, and part-whole relations: the prospects of mereotopology
Data & Knowledge Engineering - Special issue on modeling parts and wholes
Spatial Representation and Motion Planning
Spatial Representation and Motion Planning
Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Image Processing, Analysis, and Machine Vision
Image Processing, Analysis, and Machine Vision
Toward a geometry of common sense: a semantics and a complete axiomatization of mereotopology
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
A size-based qualitative approach to the representation of spatial granularity
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Aggregations and constituents: geometric specification of multi-granular objects
Journal of Visual Languages and Computing
UCS'06 Proceedings of the Third international conference on Ubiquitous Computing Systems
| Hi-index | 0.01 |
We propose an algorithm providing an abstract representation of any polygonal object iO in terms of spheres. The result is a graph-based skeleton capturing the general shape of iO 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.