WikiSysop at 12:13, 29 June 2018

2018-06-29T12:13:41Z

← Older revision		Revision as of 12:13, 29 June 2018
Line 1:		Line 1:
	== Citation ==		== Citation ==

	~~Trampert, P.; Wang, W.; Chen, D.; Ravelli, R. B. G.; Dahmen,~~ T.~~; Peters~~, P. J.~~; Kübel, C~~. ~~& Slusallek, P~~. ~~Exemplar-based inpainting as a solution to the missing wedge problem in electron tomography~~. ~~Ultramicroscopy~~, 2018 ~~, 191 , 1-10~~		T. Kim, J. Haldar. The Fourier radial error spectrum plot: A more nuanced quantitative evaluation of image reconstruction quality. Proc. IEEE Intl. Symposium on Biomedical Imaging, 2018.

	== Abstract ==		== Abstract ==

	~~A new method for dealing with incomplete projection sets in electron tomography is proposed. The approach is inspired by exemplar-based inpainting techniques in~~ image ~~processing and heuristically generates data for missing projection directions. The method has been extended to work on three dimensional data. In general~~, ~~electron tomography reconstructions suffer from elongation artifacts along~~ the ~~beam direction. These artifacts can be seen in the corresponding Fourier domain as a missing wedge. The new method synthetically generates projections for these missing directions with the help~~ of a ~~dictionary based approach that~~ is ~~able to convey both structure and texture at~~ the ~~same time~~. ~~It constitutes~~ a ~~preprocessing step that can be combined with any tomographic reconstruction algorithm~~. ~~The new algorithm was applied to phantom data~~, to a ~~real electron tomography data set taken from~~ a ~~catalyst, as well as to~~ a ~~real dataset containing solely colloidal gold particles~~. ~~Visually~~, the ~~synthetic projections, reconstructions~~, and ~~corresponding Fourier power spectra showed a decrease~~ of the ~~typical missing wedge artifacts~~. ~~Quantitatively~~, the ~~inpainting method is capable~~ to ~~reduce missing wedge artifacts and improves tomogram quality with respect to full width half maximum measurements~~.		In the modern biomedical image reconstruction literature, the quality of a reconstructed image is often numerically quantified using scalar error measures such as mean-squared error or the structural similarity index. While such measures provide a rough summary of image quality, they also suffer from well-known limitations. For example, a substantial amount of information is necessarily lost whenever the characteristics of a high-dimensional image are summarized by a single number. In this work, we introduce the Fourier radial Error Spectrum Plot (ESP), which provides a novel and more nuanced assessment of error by decomposing the error into its different spatial frequency components. The usefulness of ESP is illustrated in the context of MRI reconstruction from under-sampled data. In addition, we demonstrate that the extra dimension of insight provided by ESP can be used to improve the performance of existing image reconstruction techniques.

	== Keywords ==		== Keywords ==

WikiSysop: Created page with "== Citation == Trampert, P.; Wang, W.; Chen, D.; Ravelli, R. B. G.; Dahmen, T.; Peters, P. J.; Kübel, C. & Slusallek, P. Exemplar-based inpainting as a solution to the missi..."

2018-06-26T09:13:18Z

Created page with "== Citation == Trampert, P.; Wang, W.; Chen, D.; Ravelli, R. B. G.; Dahmen, T.; Peters, P. J.; Kübel, C. & Slusallek, P. Exemplar-based inpainting as a solution to the missi..."

New page

== Citation ==

Trampert, P.; Wang, W.; Chen, D.; Ravelli, R. B. G.; Dahmen, T.; Peters, P. J.; Kübel, C. & Slusallek, P. Exemplar-based inpainting as a solution to the missing wedge problem in electron tomography. Ultramicroscopy, 2018 , 191 , 1-10

== Abstract ==

A new method for dealing with incomplete projection sets in electron tomography is proposed. The approach is inspired by exemplar-based inpainting techniques in image processing and heuristically generates data for missing projection directions. The method has been extended to work on three dimensional data. In general, electron tomography reconstructions suffer from elongation artifacts along the beam direction. These artifacts can be seen in the corresponding Fourier domain as a missing wedge. The new method synthetically generates projections for these missing directions with the help of a dictionary based approach that is able to convey both structure and texture at the same time. It constitutes a preprocessing step that can be combined with any tomographic reconstruction algorithm. The new algorithm was applied to phantom data, to a real electron tomography data set taken from a catalyst, as well as to a real dataset containing solely colloidal gold particles. Visually, the synthetic projections, reconstructions, and corresponding Fourier power spectra showed a decrease of the typical missing wedge artifacts. Quantitatively, the inpainting method is capable to reduce missing wedge artifacts and improves tomogram quality with respect to full width half maximum measurements.

== Keywords ==

== Links ==

https://ieeexplore.ieee.org/abstract/document/8363523/

== Related software ==

== Related methods ==

== Comments ==

2018Kim FourierError - Revision history

WikiSysop at 12:13, 29 June 2018

WikiSysop: Created page with "== Citation == Trampert, P.; Wang, W.; Chen, D.; Ravelli, R. B. G.; Dahmen, T.; Peters, P. J.; Kübel, C. & Slusallek, P. Exemplar-based inpainting as a solution to the missi..."