generation of 3d fractal images for mandelbrot set
Fractals provide an innovative method for generating 3D images of real-world objects by using computational modelling algorithms based on the imperatives of self-similarity, scale invariance, and dimensionality. Images such as coastlines, terrains, cloud mountains, and most interestingly, random shapes composed of curves, sets of curves, etc. present a multi-varied spectrum of fractals usage in domains ranging from multi-coloured, multi-patterned fractal landscapes of natural geographic entities, image compression to even modelling of molecular ecosystems. Fractal geometry provides a basis for modelling the infinite detail found in nature. Fractals contain their scale down, rotate and skew replicas embedded in them. Many different types of fractals have come into limelight since their origin. This paper explains the generation of a famous category of fractals, namely the Mandelbrot Set and the Mandelbulb, which is the 3D rendering of the Mandelbrot Set that gives a real-world look and feel in the world of fractal images.
fractals mandelbrot set 3d images mandelbulb 3d rendering ifs recursion affine transformations