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

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      * ,
      Scanning
      Hindawi

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          Abstract

          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.

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          Most cited references19

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          An FFT-based technique for translation, rotation, and scale-invariant image registration.

          This correspondence discusses an extension of the well-known phase correlation technique to cover translation, rotation, and scaling. Fourier scaling properties and Fourier rotational properties are used to find scale and rotational movement. The phase correlation technique determines the translational movement. This method shows excellent robustness against random noise.
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            Digital Image Processing

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              Applied Analysis

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                Author and article information

                Journal
                Scanning
                Scanning
                SCANNING
                Scanning
                Hindawi
                0161-0457
                1932-8745
                2017
                10 August 2017
                : 2017
                : 8538215
                Affiliations
                Faculty of Mechanical Engineering, Institute of Mathematics, Brno University of Technology, Technická 2, 616 69 Brno, Czech Republic
                Author notes
                *Dalibor Martišek: martisek@ 123456fme.vutbr.cz

                Academic Editor: Brandon Weeks

                Author information
                http://orcid.org/0000-0002-4826-7148
                http://orcid.org/0000-0001-6688-7327
                Article
                10.1155/2017/8538215
                5662073
                1e40f169-bd85-4960-8e2b-5c3559c60066
                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.

                History
                : 28 April 2016
                : 2 August 2016
                Funding
                Funded by: Grantová Agentura Ceské Republiky
                Award ID: 13-03403S
                Funded by: Brno University of Technology
                Funded by: Ministerstvo Školství, Mládeže a Tělovýchovy
                Award ID: FSI-S-14-2290
                Award ID: LO1202
                Categories
                Research Article

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