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An Algorithm for Finding a Reasonable Smooth Curve for Any Given Data

초록

영어

This paper suggests an assignment algorithm in order to construct a reasonable Slope for any given data along with building division algorithms for generating interpolating intervals. In connection with these, finding out the Smooth Curve algorithm and generating it are essential. Finally, the fulfillment of the mathematical error analysis and numerical experience concerning with Smooth curve algorithm result in a reasonably varitying the Smooth Curve.

목차

Abstract
 1. Introduction
 2. Approach of the Proposed Algorithm
  2.1. Piecewise Cubic Interpolation
  2.2. Parametric Piecewise Cubic Interpolation
  2.3. How to Assign a Slope for the Given Data
  2.4. Characteristics of Curve for the Given Data
  2.5. Characteristics of Curve for the Given Data
  2.6. Domain of Monotone Curve
 3. Slope Algorithm
  3.1. Propose Slope Algorithm
  3.2. Validity Analysis
 4. Smooth Curve Algorithm
  4.1. Divide Algorithm
  4.2. Smooth Curve Algorithm
  4.3. Implementation
 5. Analysis and Review
  5.1. Analysis of Mathematical Error
  5.2. Numerical Analysis
 6. Conclusion
 References

저자정보

  • Hee-Jue Eun Department of Computer Engineering, Chonbuk National University 664-14 DuckJinDong, DuckJin-Gu, Jeonju, Korea
  • Suk-Jin Kim Department of Computer Engineering, Chonbuk National University 664-14 DuckJinDong, DuckJin-Gu, Jeonju, Korea
  • Yong-Sung Kim Department of Computer Engineering, Chonbuk National University 664-14 DuckJinDong, DuckJin-Gu, Jeonju, Korea

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