The method for homography estimation between two planes based on lines and points

Shemiakina, Julia; Zhukovsky, Alexander; Nikolaev, Dmitry P.

doi:10.1117/12.2310111

Cited by 4 publications

(3 citation statements)

References 11 publications

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“…For this purpose, let us take the coordinate system of the polychromatic projection as the basic one, and for the projections from the reflections, we search for the parameters of the geometric transformation relative to the polychromatic projection. In our optical scheme, straight lines are transformed into straight lines without bending, so the distortion of images is described by the projective transformation [ 41 ]. The projective transformation

, in homogeneous coordinates, maps a point

to a point (

and is given in the form:

…”

Section: Methodsmentioning

confidence: 99%

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Crystal Analyzer Based Multispectral Microtomography Using CCD-Sensor

Grigoriev

Золотов

Ingacheva

et al. 2023

Sensors

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To solve the problems of spectral tomography, an X-ray optical scheme was proposed, using a crystal analyzer in Laue geometry between the sample and the detector, which allowed for the selection of predetermined pairs of wavelengths from the incident polychromatic radiation to obtain projection images. On a laboratory X-ray microtomography setup, an experiment was carried out for the first time where a mixture of micro-granules of sodium chloride NaCl, silver behenate AgC22H43O2, and lithium niobate LiNbO3 was used as a test sample to identify their spatial arrangement. The elements were chosen based on the presence of absorption edges in two of the elements in the energy range of the polychromatic spectrum of the probing radiation. The method of projection distortion correction was used to preprocess the obtained projections. To interpret the obtained reconstruction results, the segmentation method based on the analysis of joint histograms was used. This allowed us to identify each of the three substances. To compare the results obtained, additional “reference” tomographic measurements were performed: one in polychromatic and two in monochromatic (MoKα-, MoKβ-lines) modes. It took three times less time for the tomographic experiment with the crystal analyzer, while the reconstruction accuracy was comparable to that of the “reference” tomography.

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, in homogeneous coordinates, maps a point

to a point (

and is given in the form:

…”

Section: Methodsmentioning

confidence: 99%

“…Since each point has two coordinates, the system of linear equations built on 4 points will find 8 unknown parameters. For the system to be nonsingular, no three points must lie on the same line [ 41 ].…”

Section: Methodsmentioning

confidence: 99%

Crystal Analyzer Based Multispectral Microtomography Using CCD-Sensor

Grigoriev

Золотов

Ingacheva

et al. 2023

Sensors

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“…The general scheme of the proposed decisionmaking algorithm is shown in the next paragraph in the form of pseudocode. Here, the algorithm receives as input a sequence of projectively corrected images of the document (the projective image is achieved using specialized algorithms such as [20,21]) and the results of recognition of all specified attributes on each image. Each such result contains the coordinates of the text field bounding rectangle (for more information on this topic, see [22]), the field recognition result, and the neural network's confidence in its answer.…”

Section: Algorithm For Choosing the Best Framementioning

confidence: 99%

Algorithm for choosing the best frame in a video stream in the task of identity document recognition

Aliev¹,

Kunina

Kazbekov³

et al. 2021

Computer Optics

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During the process of document recognition in a video stream using a mobile device camera, the image quality of the document varies greatly from frame to frame. Sometimes recognition system is required not only to recognize all the specified attributes of the document, but also to select final document image of the best quality. This is necessary, for example, for archiving or providing various services; in some countries it can be required by law. In this case, recognition system needs to assess the quality of frames in the video stream and choose the “best” frame. In this paper we considered the solution to such a problem where the “best” frame means the presence of all specified attributes in a readable form in the document image. The method was set up on a private dataset, and then tested on documents from the open MIDV-2019 dataset. A practically applicable result was obtained for use in recognition systems.

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Homography estimation based on common self-polar triangles of sphere images

Zhao

Wang

2020

Journal of Modern Optics

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The method for homography estimation between two planes based on lines and points

Cited by 4 publications

References 11 publications

Crystal Analyzer Based Multispectral Microtomography Using CCD-Sensor

Crystal Analyzer Based Multispectral Microtomography Using CCD-Sensor

Algorithm for choosing the best frame in a video stream in the task of identity document recognition

Homography estimation based on common self-polar triangles of sphere images

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