Comparison and Design of High Performance Straight-Line and Circular Arc Interpolations

Author

Yi, Liu ; Shuang, Cong

Author_Institution

Univ. of Sci. & Technol. of China, Hefei

fYear

2007

Firstpage

14

Lastpage

18

Abstract

Several interpolation methods performance are studied and compared. A quarter of a planar ellipse arc is used to be the desired objective curve. Straight-line and circular arc interpolations are used to approximate such desired curve to a specified tolerance. In straight-line interpolation, constant error approach and constant parameter increment based on the model of curvature circle are used. In circular arc interpolation, optimal circular arc interpolation based on the principal of min-max approximation, and the bi-arc interpolation with a polygon approximation are used. The effect of error is analyzed by mean of the number of interpolation points and the continuity of trajectory. The effect on motion control accuracy is also analyzed by different solving methods.

Keywords

approximation theory; geometry; interpolation; minimax techniques; bi-arc interpolation; constant error approach; constant parameter increment; min-max approximation; optimal circular arc interpolation; planar ellipse arc; polygon approximation; straight-line interpolation; Design automation; Digital signal processing; Error analysis; Field programmable gate arrays; Helium; Interpolation; Motion control; Spline; Surface reconstruction; Surface topography; Bi-arc interpolation; Circular arc interpolation; Constant error approach; Constant parameter increment approach; Optimal circular arc interpolation; Straight line interpolation;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference, 2007. CCC 2007. Chinese

Conference_Location

Hunan

Print_ISBN

978-7-81124-055-9

Electronic_ISBN

978-7-900719-22-5

Type

conf

DOI

10.1109/CHICC.2006.4346944

Filename

4346944