Fractals everywhere
An image algorithm for computing the Hausdorff distance efficiently in linear time
Information Processing Letters
Computing the Hausdorff set distance in linear time for any Lp point distance
Information Processing Letters
Fractal Geometry and Computer Graphics
Fractal Geometry and Computer Graphics
Comparing Images Using the Hausdorff Distance
IEEE Transactions on Pattern Analysis and Machine Intelligence
Chaos and Fractals
SuperFractals
Effect of Stochastic Noise on Superior Julia Sets
Journal of Mathematical Imaging and Vision
MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
Superior tricorns and multicorns
ACE'10 Proceedings of the 9th WSEAS international conference on Applications of computer engineering
Superior Cantor Sets and Superior Devil Staircases
International Journal of Artificial Life Research
A New Approach to Pattern Recognition in Fractal Ferns
International Journal of Artificial Life Research
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An orbital picture is a mathematical structure depicting the path of an object under Iterated Function System. Orbital and V-variable orbital pictures initially developed by Barnsley (2006) have utmost importance in computer graphics, image compression, biological modeling and other areas of fractal geometry. These pictures have been generated for linear and contractive transformations using function and superior iterative procedures. In this paper, the authors introduce the role of superior iterative procedure to find the orbital picture under an IFS consisting of non-contractive or non-expansive transformations. A mild comparison of the computed figures indicates the usefulness of study in computational mathematics and fractal image processing. A modified algorithm along with program code is given to compute a 2-variable superior orbital picture.