title: Denoising for 3-d photon-limited imaging data using nonseparable filterbanks.
abstract: 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.
authors.affiliation: Computational Biomedicine Lab, Departments of Computer Science, Electrical and Computer Engineering, and Biomedical Engineering, University of Houston, TX 77204 USA. santamar@ge.com
authors.forename: Alberto
authors.initials: A
authors.lastname: Santamaria-Pang
authors.forename: Teodor Stefan
authors.initials: TS
authors.lastname: Bildea
authors.forename: Shan
authors.initials: S
authors.lastname: Tan
authors.forename: Ioannis A
authors.initials: IA
authors.lastname: Kakadiaris
mesh_terms: D000465:Algorithms; D016477:Artifacts; D007089:Image Enhancement / Q000379:methods*; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D017785:Photons; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity; D012815:Signal Processing, Computer-Assisted