Abstract: In the field of surface deformation design based on curve length constraint, a constrained deformation algorithm based on local transformation is proposed, and it is combined with editorial design of shoe last surface to solve the deformation problem in the design of personalized shoe last. The main idea is to construct local transformation for every constrained curve to meet the requirements of constrains, and through the whole surface re-parameterization, the local transform effect is spread to the entire surface. This constraint deformation method does not depend on particular surface representation, and does not use the energy optimization method for solution. It can satisfy the requirement of curve length constraint precisely. The algorithm is simple, effective, and suitable for real-time edition.

Key words: Curve length constraint, Shoe last design, Surface deformation