Denoising for 3-D photon-limited imaging data using nonseparable filterbanks

Alberto Santamaria-Pang, Teodor Stefan Bildea, Shan Tan, Ioannis A. Kakadiaris

Research output: Contribution to journalArticlepeer-review

9 Scopus citations


In this paper, we present a novel frame-based denoising algorithm for photon-limited 3-D images. We first construct a new 3-D nonseparable filterbank by adding elements to an existing frame in a structurally stable way. In contrast with the traditional 3-D separable wavelet system, the new filterbank is capable of using edge information in multiple directions. We then propose a data-adaptive hysteresis thresholding algorithm based on this new 3-D nonseparable filterbank. In addition, we develop a new validation strategy for denoising of photon-limited images containing sparse structures, such as neurons (the structure of interest is less than 5% of total volume). The validation method, based on tubular neighborhoods around the structure, is used to determine the optimal threshold of the proposed denoising algorithm. We compare our method with other state-of-the-art methods and report very encouraging results on applications utilizing both synthetic and real data.

Original languageEnglish (US)
Pages (from-to)2312-2323
Number of pages12
JournalIEEE Transactions on Image Processing
Issue number12
StatePublished - 2008


  • 3-D image denoising
  • Molecular and cellular bioimaging
  • Nonseparable filterbanks

ASJC Scopus subject areas

  • Software
  • Computer Graphics and Computer-Aided Design


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