INTERPOLATING RATIONAL BÉZIER SPLINE CURVES WITH LOCAL SHAPE CONTROL

 

INTERPOLATING RATIONAL BÉZIER SPLINE CURVES WITH LOCAL SHAPE CONTROL

Alexander P. Pobegailo1

1Department of Applied Mathematics and Computer Science, Belarusian State University, Minsk, Belarus

ABSTRACT

 The paper presents a technique for construction of C n interpolating rational Bézier spline curves by means of blending rational quadric Bézier curves. A class of polynomials which satisfy special boundary conditions is used for blending. Properties of the polynomials are considered. The constructed spline curves have local shape control that make them useful in such geometric applications as real-time trajectory generation and fast curve sketching.

KEYWORDS

Blending Curves, Rational Bézier curves, Interpolation, Splines, Interpolating Rational Splines

Volume Link: https://airccse.org/journal/ijcga/vol3.html

Full Text: https://airccse.org/journal/ijcga/papers/3413ijcga01.pdf