GRAMOTA Publishers suggests publishing your scientific articles in periodicals
Pan-ArtPedagogy. Theory & PracticePhilology. Theory & PracticeManuscript

Archive of Scientific Articles

SOURCE:    Almanac of Modern Science and Education. Tambov: Gramota, 2013. № 10. P. 170-173.
SCIENTIFIC AREA:    Technical Sciences
Procedure of Scientific Articles Publication | To Show Issue Content | To Show All Articles in Section | Subject Index

License Agreement on scientific materials use.

APPROXIMATION OF IMAGES GEOMETRICAL TRANSFORMATIONS WITH POLYNOMIALS

Tolkachev Danil Sergeevich
Engineering-Technological Academy of Southern Federal University


Abstract. In the article the approximation of the two-dimensional pictures of images geometrical transformation with polynomials is suggested. Approximation method according to the technique of least squares is introduced. The schemes of polynomial evaluation with Horner’s and finite difference methods are described. Such approximation correctness with regard to the problem of camera lens geometrical distortions correction has been tested.
Key words and phrases: геометрическое преобразование изображений, коррекция геометрических искажений, дисторсия, схема Горнера, метод конечных разностей, images geometrical transformation, geometrical distortions correction, distortion, Horner’s method, finite difference method
Open the whole article in PDF format. Free PDF-files viewer can be downloaded here.
References:
  1. Beklemishev D. V. Dopolnitel'nye glavy lineinoi algebry. M.: Nauka (Glavnaya redaktsiya fiziko-matematicheskoi literatury), 1983. 336 s.
  2. Kakhaner D., Mouler K., Nesh S. Chislennye metody i matematicheskoe obespechenie / per. s angl. M.: Mir, 1998. 575 s.
  3. Korn G., Korn T. Spravochnik po matematike (dlya nauchnykh rabotnikov i inzhenerov). M.: Nauka, 1973. 832 s.
  4. Levitin A. Algoritmy: vvedenie v razrabotku i analiz / per. s angl. M.: Izdatel'skii dom "Vil'yams", 2006. 576 s.
  5. Yane B. Tsifrovaya obrabotka izobrazhenii. M.: Tekhnosfera, 2007. 584 s.
  6. Bradski G., Kaehler A. Learning OpenCV. Sebastopol: O’Reilly, 2008. 555 p.
  7. Szeliski R. Image Alignment and Stitching: a tutorial // Foundations and Trends® in Computer Graphics and Vision. 2006. Vol. 2. № 1. P. 1-104.

Procedure of Scientific Articles Publication | To Show Issue Content | To Show All Articles in Section | Subject Index

© 2006-2024 GRAMOTA Publishers

site development and search engine optimization (seo): krav.ru