Denoising 3D biomedical images with fractional-order integral calculus

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Abstract

The investigation is conducted a volumetric fractional-order integral calculus. Due to fractional-order integral calculus performing well in denoising of two-dimensional (2D) images, it is applied widely in the 2D field. In this paper, the 2D fractional-order integral operator is extended to the three-dimensional (3D) field, called the volumetric fractional-order integral calculus (VFIC). Furthermore, according to 2D discrete templates, the 3D discrete templates of the VFIC are also generalized. The 3D high precision (sub-voxel) edge surfaces are extracted from the volumetric data filtered by the proposed VFIC. Finally, the experimental results based on 3D biomedical volumetric data filtered by the VFIC method are demonstrated to show that the method has better denoising effect than the conventional 3D Gaussian filter method.

Original languageEnglish
Title of host publicationProceedings of 2012 International Conference on Image Analysis and Signal Processing, IASP 2012
Pages64-67
Number of pages4
DOIs
StatePublished - 2012
Event2012 4th International Conference on Image Analysis and Signal Processing, IASP 2012 - Hangzhou, China
Duration: 9 Nov 201211 Nov 2012

Publication series

NameProceedings of 2012 International Conference on Image Analysis and Signal Processing, IASP 2012

Conference

Conference2012 4th International Conference on Image Analysis and Signal Processing, IASP 2012
Country/TerritoryChina
CityHangzhou
Period9/11/1211/11/12

Keywords

  • biomedical images
  • edge surfaces
  • Gaussian filter
  • image denoising
  • three-dimensional fractional-order integral calculus

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