Polya’s Urn Model and Computer Aided Geometric Design
In this paper Polya's urn model is used to generate blending functions for computer aided geometric design. There are over a dozen geometric properties which are currently considered to be desirable for computer aided geometric design. Curves and surfaces which use blending functions generated...
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| Veröffentlicht in: | SIAM journal on algebraic and discrete methods 1985-01, Vol.6 (1), p.1-28 |
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| container_title | SIAM journal on algebraic and discrete methods |
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| creator | Goldman, Ronald N. |
| description | In this paper Polya's urn model is used to generate blending functions for computer aided geometric design. There are over a dozen geometric properties which are currently considered to be desirable for computer aided geometric design. Curves and surfaces which use blending functions generated from Polya's urn model are shown to share many of these geometric properties. Derivations of these geometric properties are traced back to the probabilistic interpretation of the blending functions. |
| doi_str_mv | 10.1137/0606001 |
| format | Article |
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| identifier | ISSN: 0196-5212 |
| ispartof | SIAM journal on algebraic and discrete methods, 1985-01, Vol.6 (1), p.1-28 |
| issn | 0196-5212 0895-4798 2168-345X 1095-7162 |
| language | eng |
| recordid | cdi_proquest_journals_923648519 |
| source | SIAM Journals Online |
| subjects | Algorithms CAD Computer aided design Designers |
| title | Polya’s Urn Model and Computer Aided Geometric Design |
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