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Guaranteed Classification Performance of Multi-Spacecraft Interferometric Imaging Systems

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Abstract

In this paper, we quantify the effect of random noise on the probability of misclassification of images produced by multi-spacecraft interferometric imaging systems (MSIIS). We consider two metrics for the noise corrupting the image: the mean squared error (MSE) and the worst-case error (WCE). We show that these are consistent with the goal of image classification in that, as the MSE or WCE tends to zero, the probability of misclassifying an image also tends to zero. Given a feature map, i.e., a real-valued function of an image variable, we assume that classification is done by applying a threshold to the feature map. In this feature-based classification, we find bounds on the MSE and the WCE such that the probability of misclassifying the image is guaranteed to be less than some pre-specified value. We illustrate the theory through an example where the banded appearance of the image of a planet is detected. The results of this paper could be used for the reliable characterization of exo-solar planets and similar astronomical studies.

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Authors and Affiliations

  1. Department of Aerospace Engineering, The University of Michigan, Ann Arbor, 48109-2140, MI, USA

    Suman Chakravorty Ph.D. candidate, Pierre T. Kabamba (Professor) & David C. Hyland (Professor and Chairman)

Authors
  1. Suman Chakravorty Ph.D. candidate
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  2. Pierre T. Kabamba
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  3. David C. Hyland
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Corresponding author

Correspondence to Suman Chakravorty Ph.D. candidate.

Additional information

This work was supported by NASA under grant NAG5-10336. An earlier version of this paper was presented at the AIAA/AAS Space Flight Mechanics Conference, Ponce, Puerto Rico, February 9–12, 2003.

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Chakravorty, S., Kabamba, P.T. & Hyland, D.C. Guaranteed Classification Performance of Multi-Spacecraft Interferometric Imaging Systems. J of Astronaut Sci 51, 205–226 (2003). https://doi.org/10.1007/BF03546309

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