Such digital segment is fitted with a appropriate analytic curve
, which can be a line segment, a circular arc, or a high order curve.
Weyl, Meromorphic Functions and Analytic Curves
, Annals of Mathematics Studies, 12, Princeton University Press, Princeton, NJ, 1943.
The purpose of this paper is to define a kind of B-spline-like curves and surfaces, which have adjustable shape and can represent some elementary analytic curves
and surfaces, and the curves have variation diminishing thus having a good shape control.
The topics include lifting nonproper tropical intersections, fewnomial systems with many roots and an Adelic Tau conjecture, the structure of non-Archimedean analytic curves
, diophantine geometry and analytic spaces, and a primer for the algebraic geometry of sandpiles.
Complex Analytic Curves
for Industrial Robot Trajectories, Proceedings of the 3-rd Asian Conference on Robotics and Its Application, pp.