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Volume 2017 (2017), Article ID 8538215, 8 pages
Research Article

Registration of Partially Focused Images for 2D and 3D Reconstruction of Oversized Samples

Faculty of Mechanical Engineering, Institute of Mathematics, Brno University of Technology, Technická 2, 616 69 Brno, Czech Republic

Correspondence should be addressed to Dalibor MartiĊĦek; zc.rbtuv.emf@kesitram

Received 28 April 2016; Accepted 2 August 2016; Published 10 August 2017

Academic Editor: Brandon Weeks

Copyright © 2017 Dalibor Martišek and Hana Druckmüllerová. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Methods of fracture surface 3D reconstruction from a series of partially focused images acquired in a small field of view (e.g., by confocal microscope or CCD camera) are well known. In this case, projection rays can be considered parallel and recorded images do not differ in any geometrical transformation from each other. In the case of larger samples (oversized for microscope or CCD camera), it is necessary to use a wider viewing field (e.g., standard cameras); taken images primarily differ in scaling but may also differ in shifting and rotation. These images cannot be used for reconstruction directly; they must be registered; that is, we must determine all transformations in which the images differ and eliminate their effects. There are several ways to do this. This paper deals with the registration based on phase correlation.