TY - JOUR
T1 - Bounding the Attractor of an IFS
AU - Edalat, A.
AU - Sharp, D.
AU - While, Lyndon
PY - 1997
Y1 - 1997
N2 - Fractal images defined by an iterated function system (IFS) are specified by a finite number of contractive affine transformations. In order to plot the attractor of an IFS on the screen of a digital computer, it is necessary to determine a bounding area for the attractor. Given a point on the plane, we obtain a formula for the radius of a circle centred on that point that contains the attractor of the IFS. We then describe an algorithm to find the point on the plane such that the bounding circle centred on that point has minimum radius. (C) 1997 Elsevier Science B.V.
AB - Fractal images defined by an iterated function system (IFS) are specified by a finite number of contractive affine transformations. In order to plot the attractor of an IFS on the screen of a digital computer, it is necessary to determine a bounding area for the attractor. Given a point on the plane, we obtain a formula for the radius of a circle centred on that point that contains the attractor of the IFS. We then describe an algorithm to find the point on the plane such that the bounding circle centred on that point has minimum radius. (C) 1997 Elsevier Science B.V.
UR - https://www.scopus.com/pages/publications/30244464970
U2 - 10.1016/S0020-0190(97)00156-7
DO - 10.1016/S0020-0190(97)00156-7
M3 - Article
VL - 64
SP - 197
EP - 202
JO - Information Processing Letters
JF - Information Processing Letters
ER -