Journal
OPTICS AND LASERS IN ENGINEERING
Volume 149, Issue -, Pages -Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.optlaseng.2021.106793
Keywords
Scheimpflug; Telecentric; Stereo-rectification; Optical metrology; Microscopy
Categories
Funding
- National Natural Science Foundation of China [62005121, 61722506, 61705105]
- China Postdoc-toral Science Foundation [2019M661843]
- National Key R&D Program of China [2017YFF0106403]
- Leading Technology of Jiangsu Basic Research Plan [BK20192003]
- National Defense Science and Technology Foundation of China [2019-JCJQ-JJ-381]
- 333 Engineering Research Project of Jiangsu Province [BRA2016407]
- Jiangsu Provincial One belt and one road innovation cooperation project [BZ2020007]
- Fundamental Research Funds for the Central Universities [30920032101, 30919011222]
- Open Research Fund of Jiangsu Key Laboratory of Spectral Imaging & Intelligent Sense [3091801410411]
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The article introduces the Scheimpflug lens-based imaging model and its application, proposes a simplified imaging model based on projection, and develops calibration algorithms and rectification methods for stereo matching. The effectiveness and accuracy of the methods are verified through experiments.
In the lens-based imaging model, the Scheimpflug principle is expressed as the object plane, the image plane, and the lens plane intersect in a line. With this principle, the focused object plane in the lens's object side can be tilted by placing a tilted sensor at the image side of the lens; thereby, multi-cameras can be focused on the same object space with an overlapping field of view and depth of field. For Scheimpflug cameras, additional tilt angles between the camera sensor and the optical axis are introduced, which has been well studied in pinhole cameras' calibration methods. Telecentric lens, as a commonly used lens type, has constant magnification in the axial direction and has a wide range of applications in close-range photogrammetry. To calibrate and rectify the telecentric lenses in Scheimpflug conditions, we derived a concise imaging model by expressing the sensor tilt angles and the lens magnification into a simplified intrinsic matrix. Based on the derived imaging model, an integrated calibration algorithm without solving the tilt angles and a stereo-rectification method for stereo matching are developed. The effectiveness and accuracy of the proposed methods are verified by experiments, including the comparison with the traditional telecentric model and pinhole model. Combined with the experimental results, we analyzed the potential impact of the extrinsic rotation matrix's ambiguity, verified whether the lens distortion affects the re-projection error, and discussed how the calibration posture influences the calibration accuracy.
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