Mohd. Shukri, Siti Rohkmah and Shamsuddin, Siti Mariyam and Yusof, Cik Suhaimi
(2009)
*Overview representation of Bsplines curves and surfaces.*
In:
Advances in Computer Graphics & Virtual Environment Volume 1.
Penerbit UTM , Johor, pp. 79-102.
ISBN 978-983-52-0636-8

Full text not available from this repository.

## Abstract

Having curve and surface are extremely important in generating a realistic object in virtual environment. Curve and surface are normally represented by B-Spline and Bezeir. However, B-splines have two advantages over Bezier splines : (1) the degree of a B-spline polynomial can be set independently of the number of control points (with certain limitations), and (2) B-splines allow local control over the shape of a spline curve or surface. The trade-off is that B-splines are more complex than Bezier splines. Bézier basis functions are used as weights. B-spline basis functions will be used the same way; however, they are much more complex. There are two interesting properties that are not part of the Bézier basis functions, namely: (1) the domain is subdivided by knots, and (2) basis functions are not non-zero on the entire interval. In fact, each B-spline basis function is non-zero on a few adjacent subintervals and, as a result, B-spline basis functions are quite "local".

Item Type: | Book Section |
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Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Divisions: | Computer Science and Information System |

ID Code: | 13749 |

Deposited By: | Liza Porijo |

Deposited On: | 11 Aug 2011 03:19 |

Last Modified: | 11 Aug 2011 03:19 |

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