Conference proceeding
Translation- and direction-invariant denoising of 2D and 3D images: experience and algorithms
Proceedings of SPIE, v 2825(1), pp 608-619
23 Oct 1996
Featured in Collection : UN Sustainable Development Goals @ Drexel
Abstract
Removal of noise from 2D and 3D datasets is a task frequently needed in applications typical examples including in magnetic resonance imaging, in seismic exploration, and in video processing. We are currently interested in visualizing macromolecular structures of biological specimen, in which slices of very noisy electron microscopy (EM) images are volume rendered. Volume rendering of those datasets without any denoising normally gives very 'foggy' results that are not very informative. The wavelet and image processing communities have proposed in the past decade various multiscale image representations, many of which are of potential use for image de-noising. One of our goals here is to explore the importance of translation and direction invariance to the quality of reconstruction, which leads us to study the use of various tight frames for image reconstruction. We have developed 2D translation invariant transforms for both the isotropic and anisotropic wavelet bases. These allow us to develop a 2D analog of the 1D translation invariant de-noising algorithm proposed by Coifman and Donoho. We have also developed algorithms for implementing directionally-invariant de-noising for digital images. We have experiments to measure the relative importance of translation- and direction-invariance for both isotropic and anisotropic transforms. We also are exploring how to apply tight frames for linear inversion of noisy indirect data, which is what ultimately is needed in EM tomography.
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Details
- Title
- Translation- and direction-invariant denoising of 2D and 3D images: experience and algorithms
- Creators
- Thomas P Yu - Stanford UniversityArne Stoschek - Max-Planck-Institut fuer Biochemie (Germany)David L Donoho - Stanford University
- Publication Details
- Proceedings of SPIE, v 2825(1), pp 608-619
- Conference
- Wavelet Applications in Signal and Image Processing IV
- Publisher
- Society of Photo-Optical Instrumentation Engineers (SPIE)
- Resource Type
- Conference proceeding
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:A1996BG61S00057
- Scopus ID
- 2-s2.0-78751606798
- Other Identifier
- 991021878014504721
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- Web of Science research areas
- Optics