A Design Method for 3D Origami Based on Rotational Sweep

Abstract

This paper presents a computational geometric solution to the kinematic registration problem using computational line geometry.Kinematic registration involves computation of the screw parameters of a motion from specified positions of geometric features of the moving body.The problem is formulated using a special complex of lines associated with kinematics namely the bisecting linear line complex.In this fashion the problem is reduced to an approximation problem in the line space and a slightly modified version of the line approximation method developed by Pottmann, Peternell, and Ravani (1999) is used to find the solution.