Parameter optimization in approximating curves and surfaces to measurement data
Computer Aided Geometric Design
The NURBS book
An introduction to NURBS: with historical perspective
An introduction to NURBS: with historical perspective
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Iterative Computer Algorithms with Applications in Engineering: Solving Combinatorial Optimization Problems
IEEE Computer Graphics and Applications
Data Reduction Using Cubic Rational B-Splines
IEEE Computer Graphics and Applications
A web based system to capture outlines of Arabic fonts
Information Sciences—Informatics and Computer Science: An International Journal - Internet computing
Automatic Knot Placement by a Genetic Algorithm for Data Fitting with a Spline
SMI '99 Proceedings of the International Conference on Shape Modeling and Applications
Technical Section: Capturing outlines of planar images using Bézier cubics
Computers and Graphics
Technical Section: An efficient technique for capturing 2D objects
Computers and Graphics
Outline Capture of Images by Multilevel Coordinate Search on Cubic Splines
AI '09 Proceedings of the 22nd Australasian Joint Conference on Advances in Artificial Intelligence
Fast B-spline curve fitting by L-BFGS
Computer Aided Geometric Design
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A non-deterministic evolutionary approach for approximating the outlines of planar shapes has been developed. Non-uniform Rational B-splines (NURBS) have been utilized as an underlying approximation curve scheme. Simulated Annealing heuristic is used as an evolutionary methodology. In addition to independent studies of the optimization of weight and knot parameters of the NURBS, a separate scheme has also been developed for the optimization of weights and knots simultaneously. The optimized NURBS models have been fitted over the contour data of the planar shapes for the ultimate and automatic output. The output results are visually pleasing with respect to the threshold provided by the user. A web-based system has also been developed for the effective and worldwide utilization. The objective of this system is to provide the facility to visualize the output to the whole world through internet by providing the freedom to the user for various desired input parameters setting in the algorithm designed.