Parameter identification of 1D fractal interpolation functions using bounding volumes

@article{Manousopoulos2009ParameterIO,
  title={Parameter identification of 1D fractal interpolation functions using bounding volumes},
  author={Polychronis Manousopoulos and Vasileios Drakopoulos and Theoharis Theoharis},
  journal={J. Computational Applied Mathematics},
  year={2009},
  volume={233},
  pages={1063-1082}
}
Fractal interpolation functions are very useful in capturing data that exhibit an irregular (non-smooth) structure. Two new methods to identify the vertical scaling factors of such functions are presented. In particular, they minimize the area of the symmetric difference between the bounding volumes of the data points and their transformed images. Comparative results with existing methods are given that establish the proposed ones as attractive alternatives. In general, they outperform existing… CONTINUE READING