Interpolation with interval and point tension controls using cubic weighted v-splines
ACM Transactions on Mathematical Software (TOMS)
Weighted bicubic spline interpolation to rapidly varying data
ACM Transactions on Graphics (TOG)
Computer Aided Geometric Design - Special issue: Topics in CAGD
Efficient approximation of minimum energy curves with interpolatory constraints
Applied Mathematics and Computation
Interpolating curves with gradual changes in curvature
Computer Aided Geometric Design
Voronoi strains: a spline path planning algorithm for complex environments
AIAP'07 Proceedings of the 25th conference on Proceedings of the 25th IASTED International Multi-Conference: artificial intelligence and applications
Path planning for formations using global optimization with sparse grids
RA '07 Proceedings of the 13th IASTED International Conference on Robotics and Applications
Pocketing toolpath computation using an optimization method
Computer-Aided Design
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The generation of smooth curves from a given set of data points is a very important problem in the field of Computer Aided Geometric Design. Cubic splines are widely used in practical applications, because of its simple mathematics and computation. However, these curves could sometimes oscillate and introduce unwanted inflexions. This paper develops an iterative method similar to Kjellander's to eliminate these oscillations and inflexions.