Closed Curves and Elementary Visual Object Identification
This work addresses a fundamental task in visual object identification, potentially useful for visual systems, but appears incremental as it builds on existing concepts like Fréchet distance.
The paper tackles the problem of measuring similarity between closed curves using a potential-based approach derived from local point similarities, and demonstrates its application on handwritten digit borders.
For two closed curves on a plane (discrete version) and local criteria for similarity of points on the curves one gets a potential, which describes the similarity between curve points. This is the base for a global similarity measure of closed curves (Fréchet distance). I use borderlines of handwritten digits to demonstrate an area of application. I imagine, measuring the similarity of closed curves is an essential and elementary task performed by a visual system. This approach to similarity measures may be used by visual systems.