Smooth circular approximation for curves

Leus, V.A. (1970). Smooth Circular Arc Interpolation for Curves. Computational Systems, Issue 38, pp. 102-127 (in Russian) [PDF].


This article examines approximation issues in applied geometry. Calculations in such problems are based on the 3D approximation of curves and surfaces. Surface approximation can be narrowed down to a function of one variable. A type of multifunction interpolation (see article I in the journal) is proposed. Errors are estimated and circular arc interpolation convergence is proven. A brief description of practical application of the method is given.