Efficient developable strip surface design
快速可展窄带曲面设计

In some industries such as garments, shoes and metal building, etc, one developable strip surface is often required to interpolate two specified set of skeleton curves such that two neighboring developable patcheswhich can be flattened onto planed without any distortion, tear or stretch can be smoothly joined together. To solve this problem, this paper proposed a novel algorithm to support the design of developable strip at an instant rate: one of the bounding curves, i. e. , pattern curve, was fixed to carry some appeal requirement such as wrinkles; the other one, called design curve, would be perturbed within a controllable tolerance which was defined by two embedded curves and guaranteed it be on one of neighboring developable patches all the time. The problem was formulated as a combination of a discrete combinatorial optimization problem and a constrained nonlinear optimization problem, and could be solved in an efficient iterative manner. Cimatron and the method in1] were set up as benchmark. Experiments show that the proposed algorithm has obvious advantages in both speed and developability of the final strip surface. The proposed is of practical engineering senses in designing strip surfaces in related engineering applications.