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Coons Surface
In mathematics, a Coons patch, is a type of surface patch or manifold Parametrization (geometry), parametrization used in computer graphics to smoothly join other Surface (topology), surfaces together, and in computational mechanics applications, particularly in finite element method and boundary element method, to mesh problem domains into elements. Coons patches are named after Steven Anson Coons, and date to 1967. Bilinear blending Given four space curves ''c''0(''s''), ''c''1(''s''), ''d''0(''t''), ''d''1(''t'') which meet at four corners ''c''0(0) = ''d''0(0), ''c''0(1) = ''d''1(0), ''c''1(0) = ''d''0(1), ''c''1(1) = ''d''1(1); linear interpolation can be used to interpolate between ''c''0 and ''c''1, that is :L_c(s,t)=(1-t) c_0(s)+ t c_1(s) and between ''d''0, ''d''1 :L_d(s,t)=(1-s) d_0(t)+ s d_1(t) producing two ruled surfaces defined on the unit square. The bilinear interpolation on the four corner points is another surface : B(s,t) = c_0(0) (1-s)(1-t) + c_0(1) s(1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |
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Example Of Coons Surface
Example may refer to: * ''exempli gratia'' (e.g.), usually read out in English as "for example" * .example, reserved as a domain name that may not be installed as a top-level domain of the Internet ** example.com, example.net, example.org, and example.edu: second-level domain names reserved for use in documentation as examples * HMS Example (P165), HMS ''Example'' (P165), an Archer-class patrol and training vessel of the Royal Navy Arts * ''The Example'', a 1634 play by James Shirley * The Example (comics), ''The Example'' (comics), a 2009 graphic novel by Tom Taylor and Colin Wilson * Example (musician), the British dance musician Elliot John Gleave (born 1982) * Example (album), ''Example'' (album), a 1995 album by American rock band For Squirrels See also * Exemplar (other), a prototype or model which others can use to understand a topic better * Exemplum, medieval collections of short stories to be told in sermons * Eixample, a district of Barcelona with di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] [Amazon] |