SPLINE CURVE APPROXIMATION AND DESIGN BY OPTIMAL CONTROL OVER THE KNOTS USING GENETIC ALGORITHMS
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Summary
The present work introduces the Optimal Control over the knot vectors of non- uniform B-Splines using genetic algorithm for the optimization of the cost function.
- Type
- article
- Published
- 2003-01-01
- Cited by
- 0
- References
- 25
- Access
- Open access
- OpenAlex
- https://openalex.org/W3155124
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:268094054
Keywords
Mathematics, Mathematical optimization, Optimal control, Parametrization (atmospheric modeling), Knot (papermaking)
References
- The NURBS Book
- Global reparametrization for curve approximation
- Modifying the shape of rational B-splines. part2: surfaces
- Curve and surface fitting and design by optimal control methods
- Intrinsic parametrization for approximation
- Spline Curve Approximation and Design by Optimal Control Over the Knots
- An Introduction to Genetic Algorithms.
- Automatic fairing algorithm for B-spline curves
- Guidelines for selecting finite element grids based on an optimization study
- Spline interpolation with genetic algorithms
- A Practical Guide to Splines
- Package for calculating B-splines
- Matrix computations
- Genetic Algorithms in Search Optimization and Machine Learning
- Genetic Algorithms in Search, Optimization and Machine Learning
- ON POLYA FREQUENCY FUNCTIONS. III. THE POSITIVITY OF TRANSLATION DETERMINANTS WITH AN APPLICATION TO THE INTERPOLATION PROBLEM BY SPLINE CURVES(
- Modifying the shape of rational B-splines. part 1: curves
- Optimizing Stochastic and Multiple Fitness Functions
- The Effect of Knot Modifications on the Shape of B-spline Curves
- An Analysis Of The Behavior Of A Class Of Genetic Adaptive Systems
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