Article #401: Glito 1.1

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Article #401: Glito 1.1

Created at 01:17 Mar 21, 2005 by dejan

Glito deals with linear functions:

Xn+1 = x1 Xn + x2 Yn + xc Yn+1 = y1 Xn + y2 Yn + yc

and sinusoidal functions:

Xn+1 = x1 cos(Xn) + x2 sin(Yn) + xc Yn+1 = y1 sin(Xn) + y2 cos(Yn) + yc

Glito can be used to draw Julia sets as well. Theorically we just need to draw the points defined by:

Zn+1 = √( Zn - c )

where c is the parameter of the Julia. In Glito the equation is modified to make the manipulation easier and to benefite from the linear mappings. We define, with Zn = Xn + i Yn and c = xc + i yc:

Zn+1 = √( x1 Xn + x2 Yn + i (y1 Xn + y2 Yn) + c² )

Glito represents a function by a parallelogram. The center of the parallelogram has for coordinates (xc, yc) and two contiguous edges correspond to the vectors (x1, y1) and (x2, y2).

Glito's features:

    

  • modification by translation, rotation, dilation... of the IFS functions thanks to mouse
        
  • real-time visualization of the modifications
        
  • animations (transition between 2 IFS, rotation, zoom)
        
  • IFS can be saved under an XML format or under the Fractint format
        
  • images and animations can be saved in gray level, transparent or not. File formats: PNG, PGM, BMP and MNG for the animations

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