Often objects which are not convex in the mathematical sense are treated as 'perceptually convex'. We present an algorithm for recognition of the perceptual convexity of a 2-d contour. We start by reducing the notion of 'a contour is perceptually convex' to the notion of 'a contour is Y-convex'. The latter reflects an absence of large concavities in the OY direction of an XOY frame. Then we represent a contour by a G-graph and modify the slowest descent-the small leaf trimming procedure recently introduced for the estimation of shape similarity. We prove that executing the slowest descent down to a G-graph consisting of 3 vertices allows us to detect large concavities in the QY direction. This allows us to recognize the perceptual convexity of an input contour.
|Number of pages||12|
|Journal||Proceedings of SPIE - The International Society for Optical Engineering|
|State||Published - 11 Aug 1995|
|Event||Vision Geometry IV 1995 - San Diego, United States|
Duration: 9 Jul 1995 → 14 Jul 1995
- Perceptual convexity
- Slowest descent