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Far East Journal of Mathematical Sciences (FJMS)

Abstract:
In this paper, a hyperbolic class of B-spline bases is presented in a generalized way by an integral approach by taking parameter values a and m respectively as scale and shape parameters, generated over space

where

and

We have shown that, the basis behaves like a conventional B-spline basis in the limiting case of our definition and defines hyperbolic class of B-spline curves in a generalized form. This curve shares most of the properties of B-spline curve over polynomial space (hyperbolic polynomials).

Keywords and phrases: Bézier curve, B-spline curve, hyperbolic, open knot, uniform knot.

Number of Downloads: 345 | Number of Views: 1042

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P-ISSN: 0972-0871

E-ISSN: 2584-1246

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