Interpolation with developable Be´zier patches
Computer Aided Geometric Design
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Developable (1, n)-Be´zier surfaces
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
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
On increasing the developability of a trimmed NURBS surface
Engineering with Computers
The Visual Computer: International Journal of Computer Graphics
Degree elevation and developable Bézier surfaces
Computer Aided Geometric Design
Rapid prototyping: a 3d visualization tool takes on sculpture and mathematical forms
Communications of the ACM - 3d hard copy
Characterizing degrees of freedom for geometric design of developable composite Bézier surfaces
Robotics and Computer-Integrated Manufacturing
Design automation for customized apparel products
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
Augmented reality-based design customization of footwear for children
Journal of Intelligent Manufacturing
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Developable strip is commonly used in product design due to its ease of manufacture. This paper proposes an algorithm for geometric design of strip using developable Bezier patches. It computes an aggregate of triangular and quadrilateral patches interpolate two given space curves defining a strip. The computation process selects optimal solutions in terms of surface assessment criteria specified by the user. Each patch is then degree-elevated to gain extra degrees of freedom, which produce G1 across the patch boundaries by modifying the control points while preserving the surface developability. Test examples with different design parameters illustrate and validate the feasibility of the proposed algorithm. In comparison with previous studies, this work allows strip design with freeform developable patches, generates better results in the surface assessment, and provides more flexible control on the design shape. It serves as a simple but effective approach for computer aided geometric design of developable strip.