Browsing by Author "Gujar, U., G."

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    Fractal Images from z <- z a + c In the Complex z-Plane
    (1990) Gujar, U., G.; Bhavsar, V., C.; Vangala, N.
    The transformation function z <- z[superscript a] + c is used for generating fractal images in the complex z-plane. When a is a positive integer the fractal image has a lobular structure with a major lobes. When a is a negative integer the image has a planetary configuration consisting of a central planet with | a | major satellite structures. For non-integer values of a, additional embryonic lobular/satellite structures, proportional in size to the fractional part of a, are observed. Based on the extensive experimentation, six conjectures regarding the number of major as well as embryonic lobular/satellite structures, their positions and angular spaces are formulated.
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    Vectorization techniques for algebraic fractals
    (1990) Bhavsar, V., C.; Gujar, U., G.; Vangala, N.
    Algebraic fractals generated from the self-squared transformation function z <— z[superscript 2] + c, where z and c are complex quantities, have been discussed extensively in the literature. The process of generating these fractal images, being iterative in nature, is computationally intensive. In this paper we propose and study three vectorization techniques for generating algebraic fractals from z <— z[superscript 2] + c, namely, use of long vectors, short vectors and short vectors with replenishment. The speedups obtained by vectorization of all these techniques on IBM 3090-180VF, which has a vector facility, are presented. It is observed that the technique of using short vectors with replenishment is the best.