Alpha shape
An shape of a set of points is given by the subset of points that are reached when "scooping out" portions of space with a certain spoon whose radius is given by the parameter Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} (depending on the convention, Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} can be the squared radius of the scoop, or its inverse). These shapes are closely related to Delaunay simplexes.
External links
- The CGAL project on computational geometry
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \alpha} shapes at the BioGeometry Project
- Everything You Always Wanted to Know About Alpha Shapes But Were Afraid to Ask, by François Bélair (includes java applet)