Dissertation > Excellent graduate degree dissertation topics show

Parametric form fractal interpolation

Author: LiYan
Tutor: ShengZhongPing
School: Northeast Normal University
Course: Applied Mathematics
Keywords: Parametric form Fractal interpolation Affine IFS Holographic IFS Bureau interest IFS Hyperbolic
CLC: O241.3
Type: Master's thesis
Year: 2007
Downloads: 129
Quote: 1
Read: Download Dissertation


This paper discusses the parameters in the form of fractal interpolation problem (PFIP). First, clearly put forward the argument form fractal interpolation problem definition given parametric form fractal interpolation function space concept , and pointed out the parametric form fractal interpolation function spaces. Then in Barnsley affine fractal interpolation theory, Sheng Zhongping holographic fractal interpolation theory and the Bureau of interest fractal interpolation theory , create a parameter in the form of affine interpolation IFS, parametric form of holographic interpolation IFS, parametric form of bureau -bearing interpolation IFS, and found the three iterated function systems as hyperbolic iterated function systems some sufficient conditions and proves IFS fractal interpolation parameter form attractor A for a continuous vector-valued function f relations image G [f].

Related Dissertations

  1. Multiprocessor rate monotonic scheduling algorithm,TP332
  2. Hyperbolic Geometric Flow-Review and Ideas,O186.12
  3. Research of Prediction Method for Subgrade Reinforced CFG Pile-Slab on High Speed Railway of Deep Soft Soil Zone,U213.1
  4. New Exact Solutions for Three Nonlinear Partial Differential Equations,O175.29
  5. Least-squares Mixed Finite Element Methods for Two Kinds of Partial Differential Equations,O241.82
  6. Research on the Properties of Curves and Surfaces with Shape Parameters,TP391.7
  7. Mixed Element Methods for Two Classes of Partial Differential Equations,O241.82
  8. Research of Prediction Method for Subgrade Settlement on Railway Passenger Dedicated Line,U213.1
  9. On Some Methods of Solving Exact Solutions to NLPDEs,O175.29
  10. Various Shadowing Properties on the Quasi-hyperbolic Orbit,O193
  11. On the Submanifolds with Parallel Mean Curvature Vector and Graph-Like Hypersurfaces,O186.12
  12. Decay for the Solution of Three Nonlinear Evoluation Equations,O175
  13. Research on Geometric Inequalities and Stability of Simplex in E~n and H~n,O18
  14. Research of Some Problems on Simulation of Humanoid Robot,TP242
  15. Some Properties of a Fractal Interpolation Function,O174.42
  16. A class of multi-parameter fractal interpolation surface and its variation,TP391.41
  17. Error Estimate of Block-Centered Finite Differences for 2-dimmensional Hyperbolic Equation,O241.82
  18. The Effect of Grouting and Settlement Prediction of Pile Foundation in Soft Soil,U213.157
  19. Runge - Kutta control volume for solving hyperbolic conservation laws with discontinuous finite element method ( RKCVDFEM ),O351
  20. The ground electromagnetic pulse of far positioning calculation method,P427.32
  21. Blind extraction in the application of geochemical anomaly identification,P595

CLC: > Mathematical sciences and chemical > Mathematics > Computational Mathematics > Numerical Analysis > Interpolation
© 2012 www.DissertationTopic.Net  Mobile