Geometric modeling with conical meshes and developable surfaces
ACM SIGGRAPH 2006 Papers
Developable surfaces from arbitrary sketched boundaries
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Computing Length-Preserved Free Boundary for Quasi-Developable Mesh Segmentation
IEEE Transactions on Visualization and Computer Graphics
Towards flattenable mesh surfaces
Computer-Aided Design
WireWarping: A fast surface flattening approach with length-preserved feature curves
Computer-Aided Design
ACM SIGGRAPH 2008 papers
Freeform surfaces from single curved panels
ACM SIGGRAPH 2008 papers
Pattern computation for compression garment
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Computer aided geometric design of strip using developable Bézier patches
Computers in Industry
Pattern computation for compression garment by a physical/geometric approach
Computer-Aided Design
Least squares quasi-developable mesh approximation
Computer Aided Geometric Design
Computer Graphics Forum
G2 quasi-developable Bezier surface interpolation of two space curves
Computer-Aided Design
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Surface developability is required in a variety of applications in product design, such as clothing, ship hulls, automobile parts, etc. However, most current geometric modeling systems using polygonal surfaces ignore this important intrinsic geometric property. This paper investigates the problem of how to minimally deform a polygonal surface to attain developability, or the so-called developability-by-deformation problem. In our study, this problem is first formulated as a global constrained optimization problem and a penalty-function-based numerical solution is proposed for solving this global optimization problem. Next, as an alternative to the global optimization approach, which usually requires lengthy computing time, we present an iterative solution based on a local optimization criterion that achieves near real-time computing speed.