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Mathematics
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Applied Mathematical Modeling and Intelligent Algorithms
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Applied Mathematical Modeling and Intelligent Algorithms

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Engineering Mathematics".

Deadline for manuscript submissions: 30 November 2024 | Viewed by 544

Special Issue Editors

Dr. Tianyu Zhao

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Guest Editor
College of Sciences, Northeastern University, Shenyang 110819, China
Interests: theoretical modeling; rotor dynamics; nonlinear vibration
Special Issues, Collections and Topics in MDPI journals
Dr. Long Chen

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Guest Editor
School of Transportation Science and Engineering, Beihang University, Beijing 100191, China
Interests: aerodynamics; animal flight; flapping wing; vortex dynamics; micro air vehicles
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

The resolution of numerous contemporary engineering issues necessitates the application of mathematical modeling techniques and intelligent algorithms, such as in the field of mechanical engineering, civil engineering, aerospace, biological engineering, and so on. This Special Issue focuses on the application of mathematical modeling and intelligent algorithms. The scope of this Special Issue includes, but is not limited to, the following topics:

  1. Theoretical modeling;
  2. Free and forced vibrations;
  3. Computational fluid dynamics;
  4. Nonlinear analysis;
  5. Functionally graded material;
  6. Deep learning; 
  7. Optimization; 
  8. Structural design;
  9. Biomechanics;
  10. Fault diagnosis.

All colleagues are welcome to contribute high-quality papers.

Dr. Tianyu Zhao
Dr. Long Chen
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • modeling
  • applied mathematics
  • vibration
  • algorithm
  • biomechanics
  • additive manufacturing

Published Papers (1 paper)

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Research

17 pages, 6884 KiB  
Article
Gradient Weakly Sensitive Multi-Source Sensor Image Registration Method
by Ronghua Li, Mingshuo Zhao, Haopeng Xue, Xinyu Li and Yuan Deng
Mathematics 2024, 12(8), 1186; https://doi.org/10.3390/math12081186 - 15 Apr 2024
Viewed by 325
Abstract
Aiming at the nonlinear radiometric differences between multi-source sensor images and coherent spot noise and other factors that lead to alignment difficulties, the registration method of gradient weakly sensitive multi-source sensor images is proposed, which does not need to extract the image gradient [...] Read more.
Aiming at the nonlinear radiometric differences between multi-source sensor images and coherent spot noise and other factors that lead to alignment difficulties, the registration method of gradient weakly sensitive multi-source sensor images is proposed, which does not need to extract the image gradient in the whole process and has rotational invariance. In the feature point detection stage, the maximum moment map is obtained by using the phase consistency transform to replace the gradient edge map for chunked Harris feature point detection, thus increasing the number of repeated feature points in the heterogeneous image. To have rotational invariance of the subsequent descriptors, a method to determine the main phase angle is proposed. The phase angle of the region near the feature point is counted, and the parabolic interpolation method is used to estimate the more accurate main phase angle under the determined interval. In the feature description stage, the Log-Gabor convolution sequence is used to construct the index map with the maximum phase amplitude, the heterogeneous image is converted to an isomorphic image, and the isomorphic image of the region around the feature point is rotated by using the main phase angle, which is in turn used to construct the feature vector with the feature point as the center by the quadratic interpolation method. In the feature matching stage, feature matching is performed by using the sum of squares of Euclidean distances as a similarity metric. Finally, after qualitative and quantitative experiments of six groups of five pairs of different multi-source sensor image alignment correct matching rates, root mean square errors, and the number of correctly matched points statistics, this algorithm is verified to have the advantage of robust accuracy compared with the current algorithms. Full article
(This article belongs to the Special Issue Applied Mathematical Modeling and Intelligent Algorithms)
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