1 research outputs found
Real-time Tool for Affine Transformations of Two Dimensional IFS Fractals
This work introduces a novel tool for interactive, real-time transformations
of two dimensional IFS fractals. We assign barycentric coordinates (relative to
an arbitrary affine basis of ) to the points that constitute the
image of a fractal. The tool uses some of the nice properties of the
barycentric coordinates, enabling any affine transformation of the basis, done
by click-and-drag, to be immediately followed by the same affine transformation
of the IFS fractal attractor. In order to have a better control over the
fractal, as affine basis we use a kind of minimal simplex that contains the
attractor. We give theoretical grounds of the tool and then the software
application.Comment: 8 pages, 2 figure