Multiview three-dimensional imaging using a Risley-prism-based spatially adaptive virtual camera field

Xingsheng Liu; Anhu Li

doi:10.1364/AO.454308

Applied Optics
Vol. 61,
Issue 13,
pp. 3619-3629
(2022)
•https://doi.org/10.1364/AO.454308

Multiview three-dimensional imaging using a Risley-prism-based spatially adaptive virtual camera field

Xingsheng Liu and Anhu Li

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Xingsheng Liu and Anhu Li, "Multiview three-dimensional imaging using a Risley-prism-based spatially adaptive virtual camera field," Appl. Opt. 61, 3619-3629 (2022)

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- Imaging Systems, Image Processing, and Displays
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About this Article
History
- Original Manuscript: January 19, 2022
- Revised Manuscript: March 26, 2022
- Manuscript Accepted: April 3, 2022
- Published: April 21, 2022

Abstract

We present a three-dimensional (3D) imaging system that incorporates a stationary camera and Risley prisms. By planning prism rotation to generate a spatially adaptive virtual camera field, the system allows multiple virtual cameras in the field to capture any object from different perspectives for 3D reconstruction. An automatic virtual camera calibration method based on perspective projection and geometric optics is developed to enable virtual camera field construction and characterization. Moreover, a 3D computational reconstruction framework is proposed for multiview information fusion using the virtual camera field. This framework combines nonlinear distortion correction with epipolar geometry computation to efficiently perform image rectification and stereo matching, which can further facilitate 3D object reconstruction through multiview triangulation. The experiments on synthetic and real data validate the feasibility and flexibility of our 3D imaging technique.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	12-21 Configuration	12-12 Configuration	21-21 Configuration	21-12 Configuration
$n_{1}$	$[0, 0, 1]^{T}$		$[- \sin α \sin θ_{1}, \sin α \cos θ_{1}, \cos α]^{T}$
$n_{2}$	$[\sin α \sin θ_{1}, - \sin α \cos θ_{1}, \cos α]$		$[0, 0, 1]^{T}$
$n_{3}$	$[- \sin α \sin θ_{2}, \sin α \cos θ_{2}, \cos α]^{T}$	$[0, 0, 1]^{T}$	$[- \sin α \sin θ_{2}, \sin α \cos θ_{2}, \cos α]^{T}$	$[0, 0, 1]^{T}$
$n_{4}$	$[0, 0, 1]^{T}$	$[\sin α \sin θ_{2}, - \sin α \cos θ_{2}, \cos α]^{T}$	$[0, 0, 1]^{T}$	$[\sin α \sin θ_{2}, - \sin α \cos θ_{2}, \cos α]^{T}$
$d_{1}$	$1 - 1 / n$		$\sqrt{1 - \sin^{2} α / n^{2}} - \cos α / n$
$d_{2}$	$\sqrt{1 - n^{2} \sin^{2} α} - n \cos α$		$\sqrt{1 - n^{2} (1 - c_{2}^{2})} - n c_{2}$ , where $c_{2} = 1 / n + d_{1} \cos α$
$d_{3}$	$\sqrt{1 - (1 - c_{3}^{2}) / n^{2}} - c_{3} / n$ , where $c_{3} = (n + d_{2} \cos α) \cos α - d_{2} \sin^{2} α \cos (θ_{1} - θ_{2})$	$\sqrt{1 - (1 - c_{3}^{2}) / n^{2}} - c_{3} / n$ , where $c_{3} = n + d_{2} \cos α$	$\sqrt{1 - (1 - c_{3}^{2}) / n^{2}} - c_{3} / n$ , where $c_{3} = n d_{1} \sin^{2} α \cos (θ_{1} - θ_{2}) + (n c_{2} + d_{2}) \cos α$	$\sqrt{1 - (1 - c_{3}^{2}) / n^{2}} - c_{3} / n$ , where $c_{3} = n c_{2} + d_{2}$
$d_{4}$	$\sqrt{1 - n^{2} (1 - c_{4}^{2})} - n c_{4}$ , where $c_{4} = 1 + (d_{2} / n + d_{3}) \cos α$	$\sqrt{1 - n^{2} (1 - c_{4}^{2})} - n c_{4}$ , where $c_{4} = c_{2} + d_{2} / n + d_{3} \cos α$	$\sqrt{1 - n^{2} (1 - c_{4}^{2})} - n c_{4}$ , where $c_{4} = c_{2} + d_{2} / n + d_{3} \cos α$	$\sqrt{1 - n^{2} (1 - c_{4}^{2})} - n c_{4}$ , where $c_{4} = (c_{3} / n + d_{3}) \cos α - d_{1} \sin^{2} α \cos (θ_{1} - θ_{2})$
$l_{0}$	$e_{1}$		$e_{1}$
$l_{1}$	$e_{2}$		$e_{2} / c_{2}$
$l_{2}$	$e_{3} \cos α / c_{3}$	$e_{3} / c_{3}$	$(\begin{array}{l} (e_{1} + e_{2} + e_{3}) \cos α \\ + l_{1} (d_{2} \cos α - c_{3}) / n \end{array}) / c_{3}$	$(e_{1} + e_{2} + e_{3} - l_{1} c_{2}) / c_{3}$
$l_{3}$	$(e_{2} + e_{3} - l_{2} (n + d_{2} \cos α)) / c_{4}$	$(\begin{matrix} (e_{2} + e_{3}) \cos α \\ + n l_{2} (d_{3} \cos α - c_{4}) \end{matrix}) / c_{4}$	$(\begin{matrix} e_{1} + 2 e_{2} + e_{3} - l_{1} c_{2} \\ - l_{2} (1 + d_{2} + n d_{1} \cos α) \end{matrix}) / c_{4}$	$(\begin{array}{l} (c_{3} / n + d_{3}) (l_{1} + n l_{2}) \cos α \\ - (l_{1} + n l_{2}) c_{4} + e_{2} \cos α \end{array}) / c_{4}$

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Applied Optics