Details
| Original language | English |
|---|---|
| Article number | 025025 |
| Journal | Biomedical Physics and Engineering Express |
| Volume | 4 |
| Issue number | 2 |
| Publication status | Published - 2 Feb 2018 |
Abstract
We discuss efficient algorithms for the accurate forward and reverse evaluation of the discrete Fourier-Bessel transform as numerical tools to assist in the 2D polar convolution of two radially symmetric functions, relevant, e.g., to applications in computational biophotonics. In our survey of the numerical procedure we account for the circumstance that the objective function might result from a more complex measurement process and is, in the worst case, known on a finite sequence of coordinate values, only. We contrast the performance of the resulting algorithms with a procedure based on a straight forward numerical quadrature of the underlying integral transform and asses its efficienty for two benchmark Fourier-Bessel pairs. Application to the problems of finite-size beam-shape convolution in polar coordinates and prediction of photoacoustic transients observed in experiments are used to illustrate the versatility and computational efficiency of the numerical procedure. Further, we address the important issue of testing research code written in the python scripting language by using its off-the-shelf unit testing library unittest.
Keywords
- beam-profile convolution, computational biophotonics, discrete FourierBessel transform, photoacoustics, python, tissue optics, unit testing
ASJC Scopus subject areas
- Nursing(all)
- General Nursing
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In: Biomedical Physics and Engineering Express, Vol. 4, No. 2, 025025, 02.02.2018.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - An efficient procedure for custom beam-profile convolution in polar coordinates
T2 - Testing, benchmarking and application to biophotonics
AU - Melchert, O.
AU - Wollweber, M.
AU - Roth, B.
N1 - Publisher Copyright: © 2018 IOP Publishing Ltd. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/2/2
Y1 - 2018/2/2
N2 - We discuss efficient algorithms for the accurate forward and reverse evaluation of the discrete Fourier-Bessel transform as numerical tools to assist in the 2D polar convolution of two radially symmetric functions, relevant, e.g., to applications in computational biophotonics. In our survey of the numerical procedure we account for the circumstance that the objective function might result from a more complex measurement process and is, in the worst case, known on a finite sequence of coordinate values, only. We contrast the performance of the resulting algorithms with a procedure based on a straight forward numerical quadrature of the underlying integral transform and asses its efficienty for two benchmark Fourier-Bessel pairs. Application to the problems of finite-size beam-shape convolution in polar coordinates and prediction of photoacoustic transients observed in experiments are used to illustrate the versatility and computational efficiency of the numerical procedure. Further, we address the important issue of testing research code written in the python scripting language by using its off-the-shelf unit testing library unittest.
AB - We discuss efficient algorithms for the accurate forward and reverse evaluation of the discrete Fourier-Bessel transform as numerical tools to assist in the 2D polar convolution of two radially symmetric functions, relevant, e.g., to applications in computational biophotonics. In our survey of the numerical procedure we account for the circumstance that the objective function might result from a more complex measurement process and is, in the worst case, known on a finite sequence of coordinate values, only. We contrast the performance of the resulting algorithms with a procedure based on a straight forward numerical quadrature of the underlying integral transform and asses its efficienty for two benchmark Fourier-Bessel pairs. Application to the problems of finite-size beam-shape convolution in polar coordinates and prediction of photoacoustic transients observed in experiments are used to illustrate the versatility and computational efficiency of the numerical procedure. Further, we address the important issue of testing research code written in the python scripting language by using its off-the-shelf unit testing library unittest.
KW - beam-profile convolution
KW - computational biophotonics
KW - discrete FourierBessel transform
KW - photoacoustics
KW - python
KW - tissue optics
KW - unit testing
UR - http://www.scopus.com/inward/record.url?scp=85043596377&partnerID=8YFLogxK
U2 - 10.1088/2057-1976/aaa51a
DO - 10.1088/2057-1976/aaa51a
M3 - Article
AN - SCOPUS:85043596377
VL - 4
JO - Biomedical Physics and Engineering Express
JF - Biomedical Physics and Engineering Express
IS - 2
M1 - 025025
ER -