3D Shape Prediction of a Paper Model of a Brassiere Cup toward Its Design Support

A method to predict the shape of a paper model of a two piece brassiere cup is proposed. A brassiere cup consists of several cloth parts referred to as patterns, and wires. The shapes of patterns are designed by repeatedly making a cup model composed of paper patterns and then checking its 3D shape. To reduce such trial and error process, it is required to predict the 3D shape of such model with simulation. As a model is made of paper, each part is inextensible and its deformed surface is developable. Then, the potential energy of a pattern can be represented as a function of its principal curvature and principal direction. Minimizing the potential energy under geometric constraints derives the stable shape of the cup model. The computed shape of a cup almost coincided with the measured shape of an actual paper model. Especially, the shape of the joint line between two patterns was predicted with the average position error of 1.53 mm.