Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry
A new method is presented for performing the Abel inversion by fitting the line-of-sight projection of a predefined intensity distribution (FLiPPID) to the recorded 2D projections. The aim is to develop a methodology that is less prone to experimental noise when analyzing the projection of axisymmet...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/143147 |
| _version_ | 1826114404211490816 |
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| author | Dreyer, Jochen A. H. Slavchov, Radomir I. Rees, Eric J. Akroyd, Jethro Salamanca, Maurin Mosbach, Sebastian Kraft, Markus |
| author2 | School of Chemical and Biomedical Engineering |
| author_facet | School of Chemical and Biomedical Engineering Dreyer, Jochen A. H. Slavchov, Radomir I. Rees, Eric J. Akroyd, Jethro Salamanca, Maurin Mosbach, Sebastian Kraft, Markus |
| author_sort | Dreyer, Jochen A. H. |
| collection | NTU |
| description | A new method is presented for performing the Abel inversion by fitting the line-of-sight projection of a predefined intensity distribution (FLiPPID) to the recorded 2D projections. The aim is to develop a methodology that is less prone to experimental noise when analyzing the projection of axisymmetric objects—in this case, co-flow diffusion flame images for color ratio pyrometry. A regression model is chosen for the light emission intensity distribution of the flame cross section as a function of radial distance from the flame center line. The forward Abel transform of this model function is fitted to the projected light intensity recorded by a color camera. For each of the three color channels, the model function requires three fitting parameters to match the radial intensity profile at each height above the burner. This results in a very smooth Abel inversion with no artifacts such as oscillations or negative values of the light source intensity, as is commonly observed for alternative Abel inversion techniques, such as the basis-set expansion or onion peeling. The advantages of the new FLiPPID method are illustrated by calculating the soot temperature and volume fraction profiles inside a co-flow diffusion flame, both being significantly smoother than those produced by the alternative inversion methods. The developed FLiPPID methodology can be applied to numerous other optical techniques for which smooth inverse Abel transforms are required. |
| first_indexed | 2024-10-01T03:38:56Z |
| format | Journal Article |
| id | ntu-10356/143147 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:38:56Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1431472023-12-29T06:46:48Z Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry Dreyer, Jochen A. H. Slavchov, Radomir I. Rees, Eric J. Akroyd, Jethro Salamanca, Maurin Mosbach, Sebastian Kraft, Markus School of Chemical and Biomedical Engineering Engineering::Chemical engineering FLiPPID Inverse Abel Transform A new method is presented for performing the Abel inversion by fitting the line-of-sight projection of a predefined intensity distribution (FLiPPID) to the recorded 2D projections. The aim is to develop a methodology that is less prone to experimental noise when analyzing the projection of axisymmetric objects—in this case, co-flow diffusion flame images for color ratio pyrometry. A regression model is chosen for the light emission intensity distribution of the flame cross section as a function of radial distance from the flame center line. The forward Abel transform of this model function is fitted to the projected light intensity recorded by a color camera. For each of the three color channels, the model function requires three fitting parameters to match the radial intensity profile at each height above the burner. This results in a very smooth Abel inversion with no artifacts such as oscillations or negative values of the light source intensity, as is commonly observed for alternative Abel inversion techniques, such as the basis-set expansion or onion peeling. The advantages of the new FLiPPID method are illustrated by calculating the soot temperature and volume fraction profiles inside a co-flow diffusion flame, both being significantly smoother than those produced by the alternative inversion methods. The developed FLiPPID methodology can be applied to numerous other optical techniques for which smooth inverse Abel transforms are required. National Research Foundation (NRF) Accepted version National Research Foundation Singapore (NRF), Prime Minister’s Office, Campus for Research Excellence and Technological Enterprise (CREATE) Progamme. 2020-08-05T06:50:43Z 2020-08-05T06:50:43Z 2019 Journal Article Dreyer, J. A. H., Slavchov, R. I., Rees, E. J., Akroyd, J., Salamanca, M., Mosbach, S., & Kraft, M. (2019). Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry. Applied Optics, 58(10), 2662-2670. doi:10.1364/ao.58.002662 1539-4522 https://hdl.handle.net/10356/143147 10.1364/AO.58.002662 31045067 2-s2.0-85063603517 10 58 2662 2670 en Applied Optics © 2019 Optical Society of America. All rights reserved. This paper was published in Applied Optics and is made available with permission of Optical Society of America. application/pdf |
| spellingShingle | Engineering::Chemical engineering FLiPPID Inverse Abel Transform Dreyer, Jochen A. H. Slavchov, Radomir I. Rees, Eric J. Akroyd, Jethro Salamanca, Maurin Mosbach, Sebastian Kraft, Markus Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title | Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title_full | Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title_fullStr | Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title_full_unstemmed | Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title_short | Improved methodology for performing the inverse Abel transform of flame images for color ratio pyrometry |
| title_sort | improved methodology for performing the inverse abel transform of flame images for color ratio pyrometry |
| topic | Engineering::Chemical engineering FLiPPID Inverse Abel Transform |
| url | https://hdl.handle.net/10356/143147 |
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