Programming in Mathematica (2nd ed.)
Programming in Mathematica (2nd ed.)
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Curves and surfaces for computer aided geometric design (3rd ed.): a practical guide
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
The Mathematica book (4th edition)
The Mathematica book (4th edition)
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Computer-Aided Geometric Design (CAGD) is one of the most important fields in Computer Graphics. Usually, CAGD is handled in traditional programming languages, such as Fortran, Pascal or C. By contrast, this paper supports the idea that Symbolic Computation Systems (SCS) should be used instead. To this aim, the paper shows how some mathematical expressions for BÉzier curves and surfaces can be easily translated to the Mathematica programming language. Then, they are used to prove symbolically some mathematical properties related to these geometric entities.