A common operation in clothing and shoe design is to design a folding pattern over a narrow strip and then superimpose it with a smooth surface; the shape of the folding pattern is controlled by the boundary curve of the strip. Previous research results studying folds focused mostly on cloth modeling or in animations, which are driven more by visual realism, but allow large elastic deformations and usually completely ignore or avoid the surface developability issue. In reality, most materials used in garment and shoe industry are inextensible and uncompressible and hence any feasible folded surface must be developable, since it eventually needs to be flattened to its two-dimensional pattern for manufacturing. Borrowing the classical boundary triangulation concept from descriptive geometry, this paper describes a computer-based method that automatically generates a specialized boundary triangulation approximation of a developable surface that interpolates a given strip. The development is achieved by geometrically simulating the folding process of the sheet as it would occur when rolled from one end of the strip to the other. Ample test examples are presented to validate the feasibility of the proposed method.
Modeling Developable Folds on a Strip
Contributed by the Engineering Simulation and Visualization Committee for publication in the JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING. Manuscript received April 21, 2004; Revised August 5, 2004. Associate Editor: K. Lee.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
Tang, K., and Wang, C. C. L. (March 14, 2005). "Modeling Developable Folds on a Strip ." ASME. J. Comput. Inf. Sci. Eng. March 2005; 5(1): 35–47. https://doi.org/10.1115/1.1804206
Download citation file:
- Ris (Zotero)
- Reference Manager