Titlebook: Bézier and B-Spline Techniques; Hartmut Prautzsch,Wolfgang Boehm,Marco Paluszny Textbook 2002 Springer-Verlag Berlin Heidelberg 2002 B-spl

colloquial

懒惰民族

Angioplasty

Bézier techniques for triangular patches simple task to derive algorithms which evaluate, degree elevate, reparametrize, or subdivide a triangular surface in Bézier representation. The generalization of the techniques described for univariate polynomials in Chapter 3 is straightforward.

炼油厂

向宇宙

Stationary subdivision for arbitrary netsk presented a similar generalization for bicubic splines. Their algorithms can be applied to arbitrary quadrilateral control nets and yield sequences of control nets that converge to piecewise biquadratic or bicubic surfaces with finitely many so-called extraordinary points.

夸张

ANN

https://doi.org/10.1057/978-1-349-95269-4en univariate and symmetric multivariate polynomials is explained and the basic CAGD algorithms based on this relationship are presented. The most important algorithm is de Casteljaués. It has several applications and serves as an important theoretical tool.

含沙射影

Stephen Hutchings,Kenzie Burchellcal or only complicated descriptions are known. To construct such a representation, one usually measures or evaluates a given curve at a number of points and determines an interpolant or approximant. This chapter reviews some basic techniques.

Asparagus

MORPH

Jason R. Finley,Farah Naaz,Francine W. Gohuence, there are simple efficient knot insertion algorithms to convert a B-spline representation to a B-spline representation over a finer and also evenly spaced knot sequence. Moreover, these algorithms are the prototypes for the class of the so-called ..