Geometric modeling of 3D fractal objects

By: Call Number: AIT Thesis no. CS-91-26 Contributor(s): Material type: TextSeries: Asian Institute of Technology. Thesis ; no. CS-91-26Publication details: Bangkok : Asian Institute of Technology, 1991Description: 77 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1991 Summary: The purpose of this study is to develop a technique for modeling three-dimensional real objects using fractals and to study the Collage theorem and the Box counting theorem. This study comprises two parts. The first part of the work is based on Iterated Function Systems (IFS) and the usefulness of the Collage theorem in finding the IFS codes is shown. The second part is based on the random fractal surface method with the atjomalies removal. The fractal dimension of the object can be determined by using the Box counting theorem for both parts. Moreover, the actual data storage and the rendering time can be reduced by using fractals.
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22-AIT Thesis (Replacement) Asian Institute of Technology Library AIT Publications AIT Thesis no. CS-91-26 (Browse shelf(Opens below)) 3 Available 30050120676852
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A thesis submitted in partial fulfillment of the requirements for the degree of Master of Engineering, School of Engineering and Technology

Thesis (M.Eng.) - Asian Institute of Technology, 1991

The purpose of this study is to develop a technique for modeling three-dimensional real objects using fractals and to study the Collage theorem and the Box counting theorem. This study comprises two parts. The first part of the work is based on Iterated Function Systems (IFS) and the usefulness of the Collage theorem in finding the IFS codes is shown. The second part is based on the random fractal surface method with the atjomalies removal. The fractal dimension of the object can be determined by using the Box counting theorem for both parts. Moreover, the actual data storage and the rendering time can be reduced by using fractals.

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