The optimum flattening for undeveloped 3-D body surface based on energy

Functional dividing lines are designed according to the Gauss Curvature of each node on undeveloped triangled 3-D body surface. Robert Hooke Law and Young´s Modulus are applied to set up energy model based on the edges change before and after each triangle is flattened. To improve the practicability for flattened surface is the emphasis. In combination with the energy model, the algorithm is designed and optimized to minimize the unused energy after the triangles being flattened. At last the graphics of flattened 2D planes along dividing lines and corresponding energy distributing are got. The flattened 2D planes with longitude and weft direction are more fitted for fabrics cutting which will be laid on it.