TOD Performance Model for Staring Thermal Imager with Machine Vision

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TOD Performance Model for Staring Thermal Imager with Machine Vision Yingxia Wu & Xiao-rui Wang & Hongjie Lin & Jianqi Zhang

Received: 10 May 2009 / Accepted: 14 July 2009 / Published online: 4 August 2009 # Springer Science + Business Media, LLC 2009

Abstract A triangle orientation discrimination threshold(TOD) performance theoretical model is derived for the staring thermal imager based on machine vision. Specifically, how to obtain the TOD curve based on machine vision is briefly described. The spatial frequency distribution of the triangle test pattern is first determined. The transform and response characteristics of the non-periodic triangle pattern and its background clutter through machine vision-based thermal imager are analyzed. The three-dimensional matched filter is adopted to characterize quantitatively the spatial and temporal integration of image enhancement algorithms to the output triangle pattern signal, various noise components and background clutter, and the signal-to-interference ratio (SIR) of the triangle pattern output image is derived for the staring thermal imager based on machine vision. Then, the TOD performance theoretical model is established by assuming that the output SIR is equal to the threshold SIR75% determined by the discrimination criteria of machine vision. Preliminary simulation and experimental results show that this theoretical model can give reasonable prediction of the TOD performance curve for staring thermal imagers based on machine vision. Keywords Staring thermal imager . Triangle orientation discrimination threshold . Machine vision

1 Introduction Infrared imaging system performance models (IRISPM) have become increasingly important in providing performance estimates for developmental infrared systems.

This project was supported by Key Project of Chinese Ministry of Education(109143), Research Funds for the Doctoral Program of Higher Education(20070701020) and Aviation science funding( 20070181005)

Y. Wu : X.-r. Wang (*) : J. Zhang School of Technical Physics, Xidian University, Xi’an, Shaanxi 710071, China e-mail: [email protected] H. Lin Aviation Science National Key Laboratory, Luoyang, Henan 210065, China

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J Infrared Milli Terahz Waves (2010) 31:13–23

Currently, IRISPM utilize the minimum resolvable temperature difference (MRTD) and the Johnson criteria to predict IR imaging system field performance. However, this metric is unable to adequately predict the target acquisition (TA) performance for second generation or staring imagers [1–3]. Hence, Piet Bijl et al. propose the triangle orientation discrimination threshold(TOD) metric [4], as a promising sensor performance measure, is suitable for all types of thermal imaging systems. Since this method was proposed, a great progress has been made in some aspects, such as the experimental validation, the field performance, and the TOD sensor performance model. Basically, the TOD is a solid laboratory test measure that is more representative for real target acquisition performance and is less subjective than MRT