Task space velocity blending for real-time trajectory generation

A velocity blending approach to the problem of task space trajectory generation is presented. To compare this technique with others, a generalized formulation for task space trajectory blending is also developed. It is shown that task space velocity blending provides a substantial simplification in both representation and computational complexity over previously proposed methods. While some residual orientation error is incurred by mathematical approximations, it is analytically shown that this error is small, and a correction method is provided. Examples are given, the author's real-time implementation is described, and implementational considerations are addressed.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">></ETX>