Abstract: A class of C2 continuous algebraic trigonometric blending Bézier-type interpolation curves is constructed based on the definition of free form algebraic trigonometric blending Bézier-type curves. The introduced curves inherit some characteristics which the Bézier interpolation curves have. Meanwhile, the new curves can accurately represent some conic and transcendental curves, which are more powerful than the Bézier interpolation curves. Moreover, the shapes of curves can be adjusted freely by an introduced control parameter in the base functions. At last, the illustrations show that the new interpolating curves are effective in practice on geometric modeling.

Key words: algebraic trigonometric blending polynomial, Bézier-type curve, curve interpolation, shape parameter