• Integration of frequency and space for multiple motion estimation and shape-independent, object segmentation 

      Briassouli, A.; Ahuja, N. (2008)
      A video containing multiple objects undergoing independent translational and rotational motions is analyzed through a combination of spatial- and frequency-domain representations. The Fourier transform of the sequence is ...
    • On a numerical approximation of the boundary structure and of the area of the Mandelbrot set 

      Andreadis, I.; Karakasidis, T. E. (2015)
      Based on the boundary scanning method, a partition of the boundary of the Mandelbrot set is defined. The various classes of points of the boundary according to their divergence from the interior and the exterior of the ...
    • On a topological closeness of perturbed Julia sets 

      Andreadis, I.; Karakasidis, T. E. (2010)
      In the present work we expand our previous work in [1] by introducing the Julia Deviation Distance and the Julia Deviation Plot in order to study the stability of the Julia sets of noise-perturbed Mandelbrot maps. We observe ...
    • On a topological closeness of perturbed Mandelbrot sets 

      Andreadis, I.; Karakasidis, T. E. (2010)
      In the present work we propose a numerical and visual tool for the study of the deformation of the Mandelbrot sets of perturbed Mandelbrot maps by noise in comparison with the original Mandelbrot set. Further, by employing ...
    • On numerical approximations of the area of the generalized Mandelbrot sets 

      Andreadis, I.; Karakasidis, T. E. (2013)
      In the present work, the area of the generalized Mandelbrot sets is defined as the double limit of the areas of the plotted generalized Mandelbrot sets in a given square lattice, using the finite escape algorithm, while ...
    • On perturbations of the Mandelbrot map 

      Argyris, J.; Andreadis, I.; Karakasidis, T. E. (2000)
      In this work, we propose new applications of analytic and non-analytic perturbations of the Mandelbrot map as expressed in a two-parameter deformation family of it. The influence of alternative applications of noise for ...
    • On probabilistic Mandelbrot maps 

      Andreadis, I.; Karakasidis, T. E. (2009)
      In this work, we propose a definition for a probabilistic Mandelbrot map in order to extend and support the study initiated by Argyris et al. [Argyris J, Andreadis I, Karakasidis Th. On perturbations of the Mandelbrot map. ...