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  • Research Article
  • Open Access

Tree Image Growth Analysis Using Instantaneous Phase Modulation

  • 1,
  • 1Email author,
  • 2 and
  • 1, 3
EURASIP Journal on Advances in Signal Processing20112011:586865

  • Received: 1 July 2010
  • Accepted: 19 January 2011
  • Published:


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.).


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

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Authors’ Affiliations

Department of Electrical and Computer Engineering, The University of New Mexico, Albuquerque, NM 87131-0001, USA
Department of Earth and Planetary Sciences, The University of New Mexico, Albuquerque, NM 87131-0001, USA
Measurement Science and Systems Engineering Division, Oak Ridge National Laboratory, P.O. Box 2008 MS6006, Oak Ridge, TN 37831-6006, USA