Reconstruction of~3-D Rigid Smooth Curves Moving Free when Two Traceable Points Only are Available

TL;DR

This paper presents a method for reconstructing 3D smooth curves in free motion using only two traceable points by exploiting tangential projection information, improving previous requirements of three points.

Contribution

It reduces the number of traceable points needed for 3D curve reconstruction from three to two in free motion scenarios, utilizing tangential projection data.

Findings

Reconstruction with only two points is feasible for free-moving 3D curves.

The method leverages tangential projection information for improved accuracy.

Potential simplifications for flat curve reconstruction are discussed.

Abstract

This paper extends previous research in that sense that for orthogonal projections of rigid smooth (true-3D) curves moving totally free it reduces the number of required traceable points to two only (the best results known so far to the author are 3 points from free motion and 2 for motion restricted to rotation around a fixed direction and and 2 for motion restricted to influence of a homogeneous force field). The method used is exploitation of information on tangential projections. It discusses also possibility of simplification of reconstruction of flat curves moving free for prospective projections.