The scale axis transform is a generalization of the medial axis transform. It introduces a shape representation that uses a family of skeletons to capture the dominant geometric features of a shape and yields a hierarchy of successively simplified skeletons. See the Definition and Theory – SoCG 2009 tab for the formal mathematical definitions and properties and the 3D Computation Algorithm – SIGGRAPH 2010 tab for practical computation algorithm for 3D shapes.
For any question/request about the scale axis feel free to contact Bálint Miklós at the email address:
This paper defines the scale axis transform in the general high dimensional euclidean setting. By using a new adaptive distance function induced by the shape, the multiplicative distance, topological properties of the scale axis are be derived.
The seven minutes long video below is a visual exploration of the scale axis construction and a 2d algorithm for a practical
skeleton computation based on the scale axis. The results are compared to other stable medial axis structures. This video has been presented at the multimedia session of SoCG 2009.
The video has been produced with an extended version of Mesecina (the binary you can download, does not contain all the algorithms presented in the video).
The two pages abstract below gives references and an overview of the algorithm used to genereate the results in the video.