Dissertation > Excellent graduate degree dissertation topics show

A Class of Fractal Interpolation Function with Multi-parameters and Its Surface Fitting

Author: YanYang
Tutor: WeiYiQiang
School: Taiyuan University of Technology
Course: Applied Mathematics
Keywords: multi-parameter fractal recurrent dimension iterated function system
CLC: O189
Type: Master's thesis
Year: 2013
Downloads: 24
Quote: 0
Read: Download Dissertation

Abstract


Since Mandelbrot established the fractal geometry theory framework, the fractal geometry has a very wide range of applications in the area of image processing. Specifically,in1986Barnsley put forward the concept of fractal interpolation function, it became a new and important theoretical tool of data fitting, approximation of function and image processing. With the development of the collage theorem and random iteration technology, the fractal image compression has been got some of the better results, later, Jacquin put forward the compression coding algorithm make the image compression with fractal enter a new development stage. But the traditional research focus on the linear function and the iterated function system with a small number of parameters, in this paper, a class of nonlinear and multi-parameter iterated function system is constructed and the effect of image compression by the function will be discussed. The main research works described in this article are as follows: In the introduction of this paper, we introduce the history of the fractal geometry and the current situation of fractal interpolation function system, furthermore the major content of the article is summarized.In chapter1, we mainly introduced the basic knowledge of the fractal theory.Including the fractal space and the definition of the iterated function system.In chapter2,we constructed a class of multi-parameter iterated function system, and introduced the way to get the parameters.In chapter3,we discussed the properties of iterated function system and it’s attractor,including the uniqueness and the image of the attractor.

Related Dissertations

  1. Research on Anti-periodic Solutions of Delayed Cellular Neural Networks without Assuming Global Lipschitz Conditions,TP183
  2. Study of Data Reduction Technique Based on Manifold Learning,TP311.13
  3. Speech Emotion Recognition Based on Multifractal,TN912.34
  4. Research on Multi-dimensional Migrant Workers’ Employment Management System of Jiamusi,F249.2
  5. Dual dimension of scientific concept of development review,D61
  6. Analysis from the historical dimension of holistic education philosophy for sports development impact,G80-05
  7. Study of Water-Inrush Danger Forecast of Coal Seam Floor Based on Multi Factor’s Fuzzy Clustering Approach,TD745
  8. Study and Optimization of Process Dimension and Tolerance Based on Matrix,TG801
  9. Research Scale Structure of the Chengdu-Chongqing Economic Zone urban system,F299.27
  10. A Study on Urban Systems in Qinghai Province Based on the Fractal Theory,F299.2
  11. Research on the Morphology and Fractal Growth of Electrolytic Zinc for Zinc-Air Fuel Cells,TM911.41
  12. The Properties Study in Multifractal Process,F830.91
  13. The Experiment of Normal Bond Properties between FRP and Concrete,TU528.572
  14. Cultural differences in the cultural dimension Perspective,H0-05
  15. A Novel Approach for Projection by Optimize Local Area in Face Recognition Applications,TP391.41
  16. The Research on Content-based Medical Image Retrieval Algorithm,TP391.41
  17. Research of the Communist Party of China on the Evolutionf Intellectual Treatment Policy,D663.5
  18. Research on Dimensions of the Practice of Sinicism of Marxism,D61
  19. Research and Design of Fractal Antenna for Mobile Devices,TN820
  20. Application of Fractal Interp Function to Resources Estimate of Lime Mine in Kaixian Country,P619.225
  21. Research on Detecting and Tracking of Fish Group Based on Machine Vision,TP391.41

CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Topology ( the situation in geometry )
© 2012 www.DissertationTopic.Net  Mobile