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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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