Circular arc approximation by quartic H-Bézier curve
| Autor: | Wen Eng Ong, Farah Nazir, Malik Zawwar Hussain, Maria Hussain |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Statistics and Probability
0211 other engineering and technologies Bézier curve Geometry 02 engineering and technology Management Science and Operations Research 01 natural sciences Arc (geometry) 010104 statistics & probability Line segment Approximation error Quartic function 0101 mathematics lcsh:Statistics lcsh:HA1-4737 Mathematics 65D17 68U07 021103 operations research Applied Mathematics lcsh:Mathematics Mathematical analysis Radius lcsh:QA1-939 Quartic H-Bézier curve control points free parameter G^1-approximation constraints absolute radius error Modeling and Simulation Control point Statistics Probability and Uncertainty Free parameter |
| Zdroj: | Pakistan Journal of Statistics and Operation Research, Vol 13, Iss 2, Pp 417-423 (2017) Pakistan Journal of Statistics and Operation Research; Vol. 13 No. 2, 2017; 417-423 |
| ISSN: | 2220-5810 1816-2711 |
| Popis: | The quartic H-Bézier curve is used for the approximation of circular arcs. It has five control points and one positive real free parameter. The four control points are carried out by G^1-approximation constraints and the remaining control point is dividing the line segment joining the second and fourth control points in the ratio 1:2. Optimized value of free parameter α is obtained by minimizing the maximum value of absolute radius error of the recommended approximation scheme. The developed approximation scheme is found considerably better than the existing approximation schemes for these computed values of control points and optimized value of the free parameter. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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