Laguerre projection method for finite Hankel transform of arbitrary order

Sorokin, Dmitry V.; Krylov, Andrey S.

doi:10.3103/s0278641910040011

Cited by 2 publications

(1 citation statement)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Ниже предложен способ ускорения метода совмещения на основе Фурье-Бесселя путем применения проекционного метода с использованием функций Лагерра для вычисления преобразования Ганкеля в (2). 19-21 September 2023, Moscow, Russia Построим проекционный метод вычисления преобразования Ганкеля (1) [20], используя систему собственных функций данного преобразования -функций Лагерра [21]. Нормированные функции Лагерра определены следующим образом:…”

Section: проекционный метод с использованием функций лагерра для прео...unclassified

Cryo-Electron Microscopy Image Registration Using Projection Method for Fourier-Bessel Transform Computation

Anoshina,

Sorokin

2023

Proceedings of the 33rd International Conference on Computer Graphics and Vision

View full text Add to dashboard Cite

Projection alignment in single particle cryo-electron microscopy is an important step of obtaining a high-resolution three-dimensional model. To solve this problem, one needs a method that can quickly process thousands of projection images. In this paper, we propose a single particle cryo- electron microscopy image registration approach based on the calculation of the Fourier-Bessel transform using the projection method, namely, the expansion of the Hankel transform into a series of its eigen functions - the Laguerre functions. The proposed projection method significantly speeds up the calculation of the registration parameters. The proposed approach was evaluated on the real and synthetic data with different level of noise and compared to the existing approaches. The experiments showed that the proposed approach has a high registration quality especially for noisy data. In addition, the proposed algorithm significantly accelerates the computations compared to the original registration method based on Fourier-Bessel transform.

show abstract

Section: проекционный метод с использованием функций лагерра для прео...unclassified

Cryo-Electron Microscopy Image Registration Using Projection Method for Fourier-Bessel Transform Computation

Anoshina,

Sorokin

2023

Proceedings of the 33rd International Conference on Computer Graphics and Vision

View full text Add to dashboard Cite

show abstract

Single particle cryo-EM image registration based on Fourier–Bessel transform and fast Laguerre projection method

Anoshina,

Sorokin

2023

Comput Math Model

View full text Add to dashboard Cite

Laguerre projection method for finite Hankel transform of arbitrary order

Cited by 2 publications

References 7 publications

Cryo-Electron Microscopy Image Registration Using Projection Method for Fourier-Bessel Transform Computation

Cryo-Electron Microscopy Image Registration Using Projection Method for Fourier-Bessel Transform Computation

Single particle cryo-EM image registration based on Fourier–Bessel transform and fast Laguerre projection method

Contact Info

Product

Resources

About