A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Punithavalli, M.
- A Survey on Fractals
Authors
1 ErodeArtsCollege (Autonomous), Erode – 638 009, Tamil Nadu, IN
2 Sri Ramakrishna College of Arts & Science for Women, Coimbatore-641 044, Tamil Nadu, IN
Source
Digital Image Processing, Vol 1, No 2 (2009), Pagination: 35-41Abstract
Fractal is an irregular and fragmented geometric shape that can be subdivided in parts, where each part appears to be the same in all range of scale. Fractal geometry and its concepts have become central tools in most of the natural sciences. Fractals are of interest to graphic designers and film makers for their ability to create new and exiting shapes and artificial but realistic worlds. Fractals may appear complex, but they can be developed by simple rules.Computer graphics has played an important role in the development and acceptance of fractal geometry. The generation of each fractal is dependent on the approach and algorithm used. Thus it is important to understand the properties of each type of fractals as this will influence the procedure during the generation of fractal. Fractal plays a central role in the realistic rendering and modeling natural phenomena in computer graphics. This paper discusses on the evolution, classification and application of fractals. It also demonstrates the methods to generate the fractals.
Keywords
Fractal, Fractal Dimension, Mandel Set, Julia Set, Self Similarity.- On Fractal Dimension Estimation Methods
Authors
1 Erode Arts College (Autonomous), Erode–638009, Tamil Nadu, IN
2 Sri Ramakrishna College of Arts & Science for Women Coimbatore-641044, Tamil Nadu, IN
Source
Digital Image Processing, Vol 1, No 6 (2009), Pagination: 226-230Abstract
Fractals are complex geometric figures made up of small scale and large scale structures that resemble one another. Fractal dimension is an effective measure for complex objects. It is widely applied in the fields of image segmentation and shape recognition. There are number of methods to estimate the fractal dimension. This paper contributes the comparative study of fractal dimension methods in terms of effectiveness and accuracy. In this work, we have taken five main types of fractal dimension estimation methods and compared.