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Inverse analysis of non-uniform temperature distributions using multispectral pyrometry
Institution:2. China Academy of Safety Science & Technology, Beijing 100029, PR China;1. Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Institutskaya Str. 4/1, Novosibirsk 630090, Russia;2. Ugra State University, Chekhova Str. 16, Khanty-Mansiysk 628012, Russia;1. School of Instrumentation Science and Engineering, Harbin Institute of Technology, Harbin 150001, China;2. College of Mechanical and Electrical Engineering, Northeast Forestry University, Harbin 150001, China;1. Harbin Engineering University, School of Information and Communication Engineering, No. 145-1, Nantong Street, Harbin 150001, China;2. Harbin Institute of Technology, School of Electrical Engineering and Automation, 92 West Dazhi Street, Harbin 150001, China;1. College of Information and Computer Engineering, Northeast Forestry University, Harbin 150040, China
Abstract:Optical diagnostics can be used to obtain sub-pixel temperature information in remote sensing. A multispectral pyrometry method was developed using multiple spectral radiation intensities to deduce the temperature area distribution in the measurement region. The method transforms a spot multispectral pyrometer with a fixed field of view into a pyrometer with enhanced spatial resolution that can give sub-pixel temperature information from a “one pixel” measurement region. A temperature area fraction function was defined to represent the spatial temperature distribution in the measurement region. The method is illustrated by simulations of a multispectral pyrometer with a spectral range of 8.0–13.0 μm measuring a non-isothermal region with a temperature range of 500–800 K in the spot pyrometer field of view. The inverse algorithm for the sub-pixel temperature distribution (temperature area fractions) in the “one pixel” verifies this multispectral pyrometry method. The results show that an improved Levenberg–Marquardt algorithm is effective for this ill-posed inverse problem with relative errors in the temperature area fractions of (–3%, 3%) for most of the temperatures. The analysis provides a valuable reference for the use of spot multispectral pyrometers for sub-pixel temperature distributions in remote sensing measurements.
Keywords:Temperature  Optical diagnostics  Multispectral  Pyrometer  Levenberg–Marquardt algorithm
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