Dissertation > Excellent graduate degree dissertation topics show

The polynomial approximation Issues Rational Curves and Surfaces

Author: MengXiangGuo
Tutor: WangRenHong
School: Dalian University of Technology
Course: Computational Mathematics
Keywords: Rational curves Rational Surfaces Interval B (?) Zier curve Interval B (?) Zier Surfaces Hybrid algorithm Hermitie algorithm
CLC: O241.5
Type: Master's thesis
Year: 2003
Downloads: 123
Quote: 1
Read: Download Dissertation

Abstract


Rational curves and surfaces as an important class of approximation functions have a wide range of applications in computer-aided design and manufacturing . In particular, as after NURBS been identified as the international standard , but also laid the dominance of rational functions in CAD . However, due to the complexity of the calculation and design needs , sometimes we need to use a polynomial function approximation of rational curves and surfaces . In approximation theory , rational formula of the classic polynomial approximation method the various interpolation operator approximation methods, such as Lagrange interpolation , Hermite interpolation and Bernstein polynomial approximation . These approximation methods or slow convergence or convergence is not guaranteed. Based on the actual needs of the curves and the concept of the interval surface approximation problems to do with it . The curves and interval surface interval analysis method of error analysis of the main tools in the field of numerical analysis , application and promotion in CAGD . Depth study of curves and surfaces with the interval by interval curves and surfaces approximation of curves and surfaces . In this paper , the first chapter introduces some of the knowledge of the polynomial approximation of rational curves and surfaces in the development of the research work and the range of curves and surfaces . The second chapter introduces previous work in this regard . Chapter rational curves interval polynomial approximation . Chapter IV introduces the rational surface interval polynomial approximation , first briefly based on the Taylor expansion do interval surface approximation , the latter is the main work of this paper -based optimization method , we get a better range surface approximation it is also an important part of this article .

Related Dissertations

  1. Public Transport Optimal Dispatching Based on the Genetic-Newton Algorithm,TP18
  2. Study on Hybrid Algorithm of Power System Reactive Power Optimization,TM714.3
  3. The Research on A Scheduling Algorithm for Real-time Tasks in Multi-core Systems,TP332
  4. Laser Beam Shaping Based on Liquid Crystal Spatial Light Modulator,TN24
  5. Study on Recommendation Algorithm with Multi-shorter-path for Vehicle Navigation,TP391.3
  6. Improved Analysis and Applied Research of Artificial Glowworm Swarm Optimization Algorithm,TP18
  7. Research and Application on Examination Room Seating Arrangement System of the National Entrance Examination for Postgraduates Based on Hybrid Algorithm,TP391.6
  8. Short-term Power Load Forecasting Based on the Particle Swarm Optimization Algorithm,TM715
  9. Research and Application Based on Mixed Algorithm in Logistics Transportation,TP301.6
  10. Based on Petri nets and hybrid genetic algorithm pairs resource shop scheduling,TH186
  11. Evolutionary Programming for Image Sparse Decomposition,TP391.41
  12. Based on particle pairs and global optimization algorithm for gene clustering and hybrid,TP301.6
  13. Approximation to Fuzzy Minimum-Risk Problems and Its Applications,O224
  14. SDG Based Fault Diagnosis System for Chemical Processes,TP277
  15. Hybrid particle swarm optimization and differential evolution algorithm,TP301.6
  16. Study on Hybrid Algorithm for Fractal Image Coding,TN919.81
  17. Achievement of J-A Hysteresis Model Based on a Hybrid Algorithm,TM271
  18. The Realization of Proxy Server Bbase on HTTP and Research on Cache Replacement Algorithm,TP393.08
  19. Research on Optimization Methods in Oilfield Water Injection System Based on Ant-particle Algorithm,TP301.6
  20. The Design and Implementation of a Class of Key Pre-distribution Scheme for Wireless Sensor Network,TN918.82
  21. Hybrid Swarm Intelligence Optimization Algorithms Based on Cultural Evolution and Their Applications,TP18

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