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Spatial Discriminant Function with Minimum Error Rate for Image Segmentation

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3211))

Abstract

This paper describes how a normal discriminant function with minimum error rate can be applied to segment an image in a particular manner. Since the maximum likelihood method assigns pixels based on the underlying distributions in image, it is inevitable to make decision errors when there are overlapping areas between the underlying distributions. However, this overlapping area can be minimized by a conversion of distributions which is proposed in this paper. This method is derived by exploiting characteristics of a linear combination of random variables and its relation to the corresponding random vector. The suitable performance of the process is mathematically proved and the experimental results that support the effectiveness of the proposed method are provided.

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© 2004 Springer-Verlag Berlin Heidelberg

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Bak, E. (2004). Spatial Discriminant Function with Minimum Error Rate for Image Segmentation. In: Campilho, A., Kamel, M. (eds) Image Analysis and Recognition. ICIAR 2004. Lecture Notes in Computer Science, vol 3211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30125-7_7

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  • DOI: https://doi.org/10.1007/978-3-540-30125-7_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23223-0

  • Online ISBN: 978-3-540-30125-7

  • eBook Packages: Springer Book Archive

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