book chapter inpress yes Herbert Edelsbrunner author 3FB178DA-F248-11E8-B48F-1D18A9856A870000-0002-9823-6833 Rvan de Weygaert editor GVegter editor JRitzerveld editor VIcke editor HeEd department Alpha shapes have been conceived in 1981 as an attempt to define the shape of a finite set of point in the plane. Since then, connections to diverse areas in the sciences and engineering have developed, including to pattern recognition, digital shape sampling and processing, and structural molecular biology. This survey begins with a historical account and discusses geometric, algorithmic, topological, and combinatorial aspects of alpha shapes in this sequence. https://research-explorer.ista.ac.at/download/3311/11408/2010_AlphaShapes.pdf application/pdfno Springer2011 eng Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” In <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, edited by R van de Weygaert, G Vegter, J Ritzerveld, and V Icke. Springer, n.d. Edelsbrunner, H. (n.d.). Alpha shapes - a survey. In R. van de Weygaert, G. Vegter, J. Ritzerveld, &#38; V. Icke (Eds.), <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>. Springer. H. Edelsbrunner, “Alpha shapes - a survey,” in <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, R. van de Weygaert, G. Vegter, J. Ritzerveld, and V. Icke, Eds. Springer. Edelsbrunner, Herbert. “Alpha Shapes - a Survey.” <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>, edited by R van de Weygaert et al., Springer. Edelsbrunner H. Alpha shapes - a survey. In: van de Weygaert R, Vegter G, Ritzerveld J, Icke V, eds. <i>Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings</i>. Springer. H. Edelsbrunner, in:, R. van de Weygaert, G. Vegter, J. Ritzerveld, V. Icke (Eds.), Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings, Springer, n.d. Edelsbrunner H.Alpha shapes - a survey. In: Tessellations in the Sciences: Virtues, Techniques and Applications of Geometric Tilings. . 33112018-12-11T12:02:36Z2024-10-09T20:54:33Z