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Tree Image Growth Analysis Using Instantaneous Phase Modulation

Abstract

We propose the use of Amplitude-Modulation Frequency-Modulation (AM-FM) methods for tree growth analysis. Tree growth is modeled using phase modulation. For adapting AM-FM methods to different images, we introduce the use of fast filterbank filter coefficient computation based on piecewise linear polynomials and radial frequency magnitude estimation using integer-based Savitzky-Golay filters for derivative estimation. For a wide range of images, a simple filterbank design with only 4 channel filters is used. Filterbank specification is based on two different methods. For each input image, the FM image is estimated using dominant component analysis. A tree growth model is developed to characterize and depict quarterly and half-seasonal growth of trees using instantaneous phase. Qualitative evaluation of inter- and intraring reconstruction is performed on 20 aspen images and a mixture of 12 tree images of various types. Qualitative scores indicate that the results were mostly of good to excellent quality (4.4/5.0 and 4.0/5.0 for the two databases, resp.).

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Correspondence to Marios S. Pattichis.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Ramachandran, J., Pattichis, M.S., Scuderi, L.A. et al. Tree Image Growth Analysis Using Instantaneous Phase Modulation. EURASIP J. Adv. Signal Process. 2011, 586865 (2011). https://doi.org/10.1155/2011/586865

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Keywords

  • Tree Growth
  • Magnitude Estimation
  • Growth Analysis
  • Filter Coefficient
  • Instantaneous Phase