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Erschienen in: International Journal of Computer Assisted Radiology and Surgery 9/2016

01.09.2016 | Original Article

Simultaneous intrinsic and extrinsic calibration of a laser deflecting tilting mirror in the projective voltage space

verfasst von: Adrian Schneider, Simon Pezold, Kyung-won Baek, Dilyan Marinov, Philippe C. Cattin

Erschienen in: International Journal of Computer Assisted Radiology and Surgery | Ausgabe 9/2016

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Abstract

Purpose 

During the past five decades, laser technology emerged and is nowadays part of a great number of scientific and industrial applications. In the medical field, the integration of laser technology is on the rise and has already been widely adopted in contemporary medical applications. However, it is new to use a laser to cut bone and perform general osteotomy surgical tasks with it. In this paper, we describe a method to calibrate a laser deflecting tilting mirror and integrate it into a sophisticated laser osteotome, involving next generation robots and optical tracking.

Methods 

A mathematical model was derived, which describes a controllable deflection mirror by the general projective transformation. This makes the application of well-known camera calibration methods possible. In particular, the direct linear transformation algorithm is applied to calibrate and integrate a laser deflecting tilting mirror into the affine transformation chain of a surgical system.

Results 

Experiments were performed on synthetic generated calibration input, and the calibration was tested with real data. The determined target registration errors in a working distance of 150 mm for both simulated input and real data agree at the declared noise level of the applied optical 3D tracking system: The evaluation of the synthetic input showed an error of 0.4 mm, and the error with the real data was 0.3 mm.
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Fußnoten
1
Due to scaling in P, there are actually only 11 unknowns. Thus, \(5\frac{1}{2}\) correspondences are required from a mathematical point of view.
 
2
The attentive reader might be suspicious why the CIR bound of \(\varphi \) here is equal to \(\varphi \) in Fig. 7. This is a coincidence.
 
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Metadaten
Titel
Simultaneous intrinsic and extrinsic calibration of a laser deflecting tilting mirror in the projective voltage space
verfasst von
Adrian Schneider
Simon Pezold
Kyung-won Baek
Dilyan Marinov
Philippe C. Cattin
Publikationsdatum
01.09.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
International Journal of Computer Assisted Radiology and Surgery / Ausgabe 9/2016
Print ISSN: 1861-6410
Elektronische ISSN: 1861-6429
DOI
https://doi.org/10.1007/s11548-016-1435-y

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