page_title: Straight skeleton
hierarchical_section_title: Straight skeleton
caption_attribution_description: English: The definition of a straight skeleton of a polygon: the wavefront, the straight skeleton and the roof model
context_page_description: In geometry, a straight skeleton is a method of representing a polygon by a topological skeleton. It is similar in some ways to the medial axis but differs in that the skeleton is composed of straight line segments, while the medial axis of a polygon may involve parabolic curves. However, both are homotopy-equivalent to the underlying polygon.
  Straight skeletons were first defined for simple polygons by Aichholzer et al., and generalized to planar straight-line graphs by Aichholzer & Aurenhammer.
  In their interpretation as projection of roof surfaces, they are already extensively discussed by G. A. Peschka.
context_section_description: In geometry, a straight skeleton is a method of representing a polygon by a topological skeleton. It is similar in some ways to the medial axis but differs in that the skeleton is composed of straight line segments, while the medial axis of a polygon may involve parabolic curves. However, both are homotopy-equivalent to the underlying polygon.
  Straight skeletons were first defined for simple polygons by Aichholzer et al. (1995), and generalized to planar straight-line graphs (PSLG) by Aichholzer & Aurenhammer (1996).
  In their interpretation as projection of roof surfaces, they are already extensively discussed by G. A. Peschka (1877).
caption: The shrinking process, the straight skeleton (blue) and the roof model.
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