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Three-dimensional temperature distribution estimation around a heat source in water using asymmetric inverse Abel transformation
Author(s): Mizuki Kyoda; Naoto Kakuta; Kazu Mishiba; Yuki Arakawa; Katsuya Kondo
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Paper Abstract

We propose a new method for measuring three-dimensional (3D) estimation distribution in water around a heat source. By using near infrared (NIR) light, it is possible to measure the total amount of temperature on the optical path. The total amount of temperature obtained is converted into local temperature distribution based on certain assumption. The conventional method estimates temperature distribution using symmetric inverse Abel transformation based on the strong constraint that heat propagates axially symmetrically from the axis passing through the center of the heat source upward. There are two points to be improved in the conventional method. The first point to be improved is that the temperature is assumed to be distributed circularly symmetrically from the axis passing through the heat source center. In fact, in many cases, heat propagates asymmetrically. In this case, the conventional method cannot obtain accurate results. In this paper, we use asymmetric inverse Abel transformation instead symmetric inverse Abel transformation in order to perform asymmetric estimation. The second point to be improved is that the conventional method does not take into consideration that heat propagates smoothly. In this paper, we use an optimization algorithm to smooth adjacent surfaces of the temperature distribution. Experiment showed that the proposed method estimated temperature distribution more accurately than the conventional method.

Paper Details

Date Published: 22 March 2019
PDF: 6 pages
Proc. SPIE 11049, International Workshop on Advanced Image Technology (IWAIT) 2019, 110492I (22 March 2019); doi: 10.1117/12.2522587
Show Author Affiliations
Mizuki Kyoda, Tottori Univ. (Japan)
Naoto Kakuta, Tokyo Metropolitan Univ. (Japan)
Kazu Mishiba, Tottori Univ. (Japan)
Yuki Arakawa, Tokyo Metropolitan Univ. (Japan)
Katsuya Kondo, Tottori Univ. (Japan)


Published in SPIE Proceedings Vol. 11049:
International Workshop on Advanced Image Technology (IWAIT) 2019
Qian Kemao; Kazuya Hayase; Phooi Yee Lau; Wen-Nung Lie; Yung-Lyul Lee; Sanun Srisuk; Lu Yu, Editor(s)

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