Affordable Access

2D Prony-Huang transform: a new tool for 2D spectral analysis.

Authors
  • Schmitt, Jérémy
  • Pustelnik, Nelly
  • Borgnat, Pierre
  • Flandrin, Patrick
  • Condat, Laurent
Type
Published Article
Journal
IEEE Transactions on Image Processing
Publisher
Institute of Electrical and Electronics Engineers
Publication Date
Dec 01, 2014
Volume
23
Issue
12
Pages
5233–5248
Identifiers
PMID: 25330485
Source
Medline
License
Unknown

Abstract

This paper provides an extension of the 1D Hilbert Huang transform for the analysis of images using recent optimization techniques. The proposed method consists of: 1) adaptively decomposing an image into oscillating parts called intrinsic mode functions (IMFs) using a mode decomposition procedure and 2) providing a local spectral analysis of the obtained IMFs in order to get the local amplitudes, frequencies, and orientations. For the decomposition step, we propose two robust 2D mode decompositions based on nonsmooth convex optimization: 1) a genuine 2D approach, which constrains the local extrema of the IMFs and 2) a pseudo-2D approach, which separately constrains the extrema of lines, columns, and diagonals. The spectral analysis step is an optimization strategy based on Prony annihilation property and applied on small square patches of the IMFs. The resulting 2D Prony–Huang transform is validated on simulated and real data.

Report this publication

Statistics

Seen <100 times