Abstract:

In shape blending process, the parametric continuity of blending curves is not always preserved. In this paper, based on a symmetric opinion, first the Bézierlike curve is defined, and the geometric continuity preserving problems of blending curves are investigated by using the boundary properties of the Bézier-like curve. Especially, in the linear blending process, the maintenance conditions of the first order and the second order geometric continuities are derived, and several solutions are discussed. Then one and two order balance geometric continuity conditions and their relative parametric preserving algorithm are given. The algorithms can be used in computer animation and industrial design.

Key words: shape blending; geometric continuity; Bézier-like curve; Ball curve; Timmer curve