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Overview representation of Bsplines curves and surfaces

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

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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
Subjects:Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Divisions:Computer Science and Information System (Formerly known)
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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