Explicit continuity conditions for adjacent Be´zier surface patches
Computer Aided Geometric Design
Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Computational Line Geometry
A simple algorithm for designing developable Bézier surfaces
Computer Aided Geometric Design
Bézier surfaces of minimal area: the Dirichlet approach
Computer Aided Geometric Design
Making papercraft toys from meshes using strip-based approximate unfolding
ACM SIGGRAPH 2004 Papers
The Visual Computer: International Journal of Computer Graphics
Degree elevation and developable Bézier surfaces
Computer Aided Geometric Design
Computer aided geometric design of strip using developable Bézier patches
Computers in Industry
Quasi-Developable Mesh Surface Interpolation via Mesh Deformation
IEEE Transactions on Visualization and Computer Graphics
Modeling wrinkles on smooth surfaces for footwear design
Computer-Aided Design
A fully geometric approach for developable cloth deformation simulation
The Visual Computer: International Journal of Computer Graphics
Industrial design using interpolatory discrete developable surfaces
Computer-Aided Design
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Surface development is used in many manufacturing planning operations, e.g., for garments, ships and automobiles. However, most freeform surfaces used in design are not developable, and therefore the developed patterns are not isometric to the original design surface. In some domains, the CAD model is created by interpolating two given space curves. In this paper, we propose a method to obtain a G^2 quasi-developable Bezier surface interpolating two arbitrary space curves. The given curves are first split into a number of piecewise Bezier curves and elemental Bezier patches each of which passes through four splitting points are constructed. All neighboring elemental patches are G^2 connected and they are assembled optimally in terms of the degree of developability (the integral Gaussian curvature). Experiments show that the final composite Bezier surface is superior to a lofted one which is defined regardless of the final surface developability.