Related Concepts
Definition
The shock graph is obtained from the 2D Blum medial axis by incorporating properties of the radius function along the skeleton. The direction in which the radius function increases, or equivalently, the direction of the grassfire flow, is used to order groups of skeletal points and to derive parent-child relationships. This results in a directed acyclic graph whose nodes represent skeletal points and whose edges represent adjacency relationships. A variant of this construction associates skeletal points with edges, with the nodes representing the adjacencies.
Background
When Blum conceived of the medial axis or skeleton, his goal was to use it as a means to categorize objects from their projected (2D) outlines [4]. Specifically, by associating the direction of increasing radius value along a skeletal branch, or equivalently the direction of propagation of singularies of the grassfire...
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Dickinson, S.J., Shokoufandeh, A., Siddiqi, K. (2014). Shock Graph. In: Ikeuchi, K. (eds) Computer Vision. Springer, Boston, MA. https://doi.org/10.1007/978-0-387-31439-6_655
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