Spherical Geometry
نویسندگان
چکیده
منابع مشابه
Hexagonal Geometry Clipmaps for Spherical Terrain Rendering
Terrains can be rendered efficiently with rectangular 2D grid of heights. Terrain on spheres, on the other hand, can be rendered using Hierarchical Triangular Mesh (HTM) but the representation does not fit directly with 2D grid of heights. We present a unified representation of HTM and clipmapping using Hexagonal Geometry Clipmaps. This provides one to one correspondence of vertices and heights...
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The study of spheres dates back to the first century in the book Sphaerica of Menelaus. Spherical trigonometry was thoroughly developed in modern form by Euler in his 1782 paper [?]. Spherical geometry in n-dimensions was first studied by Schläfli in his 1852 treatise, which was published posthumously in 1901 [?]. The most important transformation in spherical geometry, Möbius transformation, w...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 1883
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091500037020