## The mathematical basis of the UNISURF CAD system |

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### Common terms and phrases

account equation actually of degree adjacent patches algorithm auxiliary directrix Bernstein polynomials bi-cubic patch Borough Green Butterworth characteristic polygon vertices coincide collinear common boundary line comply Computer Aided Engineering Consequently coplanar curvature curve defined curve G curve of degree curve representing cuspid point deduce define a curve degenerate patch degree m x n degree six degree three described in Section directrices displacement dP dP Durban end conditions endpoint engineering four patches functions generatrices graph Guildford Higher-order blending hodograph of G hyperbolic paraboloid identical inflection point intersection isoparametric curves Let us suppose limited Linear transformation located locus manner method obtain osculates parabolas parallel patch of degree patches Figure patches Let point P(u polynomials projection properties set of coordinates shape solution Steven Anson Coons sub-patches surface taking equations tangent plane Tangential blending tensor three patches transposant UNISURF vertex

### References to this book

Geometric Modeling With Splines: An Introduction ELAINE AUTOR COHEN,RICHARD F AUTOR RIESENFELD,GERSHON AUTOR ELBER No preview available - 2001 |

Science of Ecosystem-based Management: Narragansett Bay in the 21st Century Alan Desbonnet,Barry A Costa-Pierce No preview available - 2008 |