Representation and deformation of developable surfaces
Computer-Aided Design
Developable rational Be´zier and B-spline surfaces
Computer Aided Geometric Design
Optimal development of doubly curved surfaces
Computer Aided Geometric Design
Evolution and Optimum Seeking: The Sixth Generation
Evolution and Optimum Seeking: The Sixth Generation
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Computational Line Geometry
A simple algorithm for designing developable Bézier surfaces
Computer Aided Geometric Design
Curvature formulas for implicit curves and surfaces
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Piecewise developable surface approximation of general NURBS surfaces, with global error bounds
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
High order polynomial surface fitting for measuring roughness of psoriasis lesion
IVIC'11 Proceedings of the Second international conference on Visual informatics: sustaining research and innovations - Volume Part I
3D surface roughness measurement for scaliness scoring of psoriasis lesions
Computers in Biology and Medicine
Hi-index | 0.00 |
This paper presents a simple and efficient method to approximate a developable surface to a compound design surface by a polynomial. It is required to predict a final shape of roll bending in the fabrication of a curved shell plate. The roll bending process usually makes the cylindrical or conical curvature from an initial flat plate. It means that the final shape is developable or the surface representation has zero Gaussian curvature. The fabrication shape is important in order to estimate process parameters of roller bending. An optimization problem is formulated to determine the polynomial surface which is in the closest proximity to the design surface or the given shell plate, which is subjected to developability. The results and the efficiency of this algorithm are verified and evaluated by applying it to some shell plates which are obtained from a real ship model. The predicted bending shape becomes fundamental information in determining more process parameters for the fabrication of a compound curved shell plate.