C2 quadratic trigonometric polynomial curves with local bias

Quadratic trigonometric polynomial curves with local bias are presented in this paper. The quadratic trigonometric polynomial curves have C-2 continuity with a non-uniform knot vector and any value of the bias, while the quadratic B-spline curves have C-1 continuity. The changes of a local bias parameter will only affect two curve segments. With the bias parameters, the quadratic trigonometric polynomial curves can move locally toward or against a control vertex. A quadratic trigonometric Bezier curve is also introduced as special case of the given trigonometric polynomial curves. © 2004 Elsevier B.V. All rights reserved.