Shape Matching of Planar and Spatial Curves for Part Inspection

AbstractShape matching has many application areas which include manufactured part inspection. This paper deals with shape matching of planar and spatial curves based on the concept of deformation energy. We combine the concepts of differential geometry, geometric modeling, mechanics of deformable bodies and computer aided part inspection to propose a methodology of curve matching for computer aided inspection purpose. In this methodology, one of the two curves being matched is treated as an instance of deformed version of the other. The stretching, bending and twisting transformations associated with this deformation and strain energy necessary to deform is used as a measure of shape matching. The strain energy can be derived directly from intrinsic properties of curves namely arc-length, curvature and torsion. Unlike previous works of curve matching which are restricted to planar curves only, the proposed methodology can be used for shape matching of spatial curves too. Results of shape matching are pres...

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