Three-dimensional temperature distribution estimation around a heat source in water using asymmetric inverse Abel transformation

Mizuki Kyoda; Naoto Kakuta; Kazu Mishiba; Yuki Arakawa; Katsuya Kondo

doi:10.1117/12.2522587

22 March 2019 Three-dimensional temperature distribution estimation around a heat source in water using asymmetric inverse Abel transformation

Mizuki Kyoda, Naoto Kakuta, Kazu Mishiba, Yuki Arakawa, Katsuya Kondo

Author Affiliations +

Proceedings Volume 11049, International Workshop on Advanced Image Technology (IWAIT) 2019; 110492I (2019) https://doi.org/10.1117/12.2522587
Event: 2019 Joint International Workshop on Advanced Image Technology (IWAIT) and International Forum on Medical Imaging in Asia (IFMIA), 2019, Singapore, Singapore

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.

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Mizuki Kyoda, Naoto Kakuta, Kazu Mishiba, Yuki Arakawa, and Katsuya Kondo "Three-dimensional temperature distribution estimation around a heat source in water using asymmetric inverse Abel transformation", Proc. SPIE 11049, International Workshop on Advanced Image Technology (IWAIT) 2019, 110492I (22 March 2019); https://doi.org/10.1117/12.2522587

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KEYWORDS

Near infrared

Optimization (mathematics)

Temperature metrology

Absorption

Visualization

3D metrology

Cameras

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