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

More Details : http://airccse.org/journal/ijcga/papers/3413ijcga01.pdf