Analyzing nonconvex 2D and 3D patterns
Computer Vision and Image Understanding
Hierarchical representation of 2-D shapes using convex polygons: A morphological approach
Pattern Recognition Letters
Shape Retrieval using Concavity Trees
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 3 - Volume 03
Hierarchical representation of 2-D shapes using convex polygons: a contour-based approach
Pattern Recognition Letters
Measuring Concavity on a Rectangular Mosaic
IEEE Transactions on Computers
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Concavity trees have been known for quite some time as structural descriptors of 2-D shape; however, they haven't been explored further until recently. This paper shows how 2-D shapes can be concisely, but reversibly, represented during concavity tree extraction. The representation can be exact, or approximate to a pre-set degree. This is equivalent to a lossless, or lossy compression of the image containing the shape. This paper details the proposed technique and reports near-lossless compression ratios that are 150% better than the JBIG standard on a test set of binary silhouette images.