Developing Fractals Using Iterated Function Systems: Advanced Study
Emerging Trends in Engineering Research and Technology Vol. 2,
Page 1-14
Abstract
The geometric modeling of fractal objects is a difficult process. An important class of complex objects in nature is trees, plants, clouds, mountains, etc. These objects cannot be satisfactorily described or acceptable in quality or quantity using conventional geometry. Diverse techniques are at present being investigated for modeling these complex objects. The development of a new approach to computing fractals is being taken up by us, known as Iterated Function Systems. Any set of linear maps (affine transformations) and an associated set of probabilities determines an Iterated Function System (IFS). IFS description forms, through a set of simple geometric transformations, a basic set of tools for interactive image construction. This paper presents the role of IFS in geometric modeling of fractal objects.
Keywords:
- Fractals
- IFS
- mapping transform
- iteration
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