Glito 1.1

Glito is free software. It is an explorer of IFS (Iterated Function Systems) in 2D. IFS are a type of fractals. They are built by calculating the iterated images of a point by contractive affine mappings. An IFS is a set of n (n ≥ 2) functions. A function is chosen randomly to give a new image of a point.

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