# A Linear Extrinsic Calibration of Kaleidoscopic Imaging System from Single 3D Point

arXiv: https://arxiv.org/abs/1703.02826 · HTML: https://mlsanity.com/paper/1703.02826/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 8 Mar 2017.

## Built on by (most cited first, 1 of 1)

- [Structure of Multiple Mirror System from Kaleidoscopic Projections of Single 3D Point](https://mlsanity.com/paper/2103.15501/) (2021)

## Abstract (arXiv)

This paper proposes a new extrinsic calibration of kaleidoscopic imaging system by estimating normals and distances of the mirrors. The problem to be solved in this paper is a simultaneous estimation of all mirror parameters consistent throughout multiple reflections. Unlike conventional methods utilizing a pair of direct and mirrored images of a reference 3D object to estimate the parameters on a per-mirror basis, our method renders the simultaneous estimation problem into solving a linear set of equations. The key contribution of this paper is to introduce a linear estimation of multiple mirror parameters from kaleidoscopic 2D projections of a single 3D point of unknown geometry. Evaluations with synthesized and real images demonstrate the performance of the proposed algorithm in comparison with conventional methods.