Parameter Identification of 1D Recurrent Fractal Interpolation Functions with Applications to Imaging and Signal Processing

@article{Manousopoulos2010ParameterIO,
  title={Parameter Identification of 1D Recurrent Fractal Interpolation Functions with Applications to Imaging and Signal Processing},
  author={Polychronis Manousopoulos and Vasileios Drakopoulos and Theoharis Theoharis},
  journal={Journal of Mathematical Imaging and Vision},
  year={2010},
  volume={40},
  pages={162-170}
}
Recurrent fractal interpolation functions are very useful in modelling irregular (non-smooth) data. Two methods that use bounding volumes and one that uses the concept of box-counting dimension are introduced for the identification of the vertical scaling factors of such functions. The first two minimize the area of the symmetric difference between the bounding volumes of the data points and their transformed images, while the latter aims at achieving the same box-counting dimension between the… CONTINUE READING