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Automatic grain texture analysis using integral transforms

Wayne Hall, Andrew Seagar, Stuart Palmer
2012 Holzforschung  
This paper describes the application of integral transforms (Fourier and Radon) for automatic (objective) assessment of the visual appearance of 10 Sitka spruce (Picea sitchensis) sample images.  ...  Tonewood for musical instruments is quarter-sawn and frequently quality-graded based on visual appearance, mechanical and acoustic properties.  ...  Acknowledgements The authors would like to thank the referees for comments which have led to an improved manuscript.  ... 
doi:10.1515/hf.2011.127 fatcat:yr5jj2kjk5htpfbtxbf22a5kca

Elliptical Monogenic Wavelets for the Analysis and Processing of Color Images

Raphael Soulard, Philippe Carre
2016 IEEE Transactions on Signal Processing  
This paper studies and gives new algorithms for image processing based on monogenic wavelets.  ...  The monogenic synthesis is therefore defined from the idea of wavelet modulation, and an innovative filterbank is constructed by using the Radon transform. The color extension is then investigated.  ...  Discrete Radon transform The discretization of the Radon transform is difficult to achieve.  ... 
doi:10.1109/tsp.2015.2505664 fatcat:n657gorzpzgcnfpzilwch7wqku

Reconstruction of tomographic images using analog projections and the digital Radon transform

Imants Svalbe, Dimitri van der Spek
2001 Linear Algebra and its Applications  
The digital Radon transform (DRT) can be adapted to reconstruct images from analog projection data. This new technique is a variation of the conventional back-projection method.  ...  The DRT enables the use of a form of block-data copy for the reconstruction, which is fast in comparison to the usual methods of back-projection.  ...  Thanks are due to Professor Del Lungo for enabling me to participate in the Discrete Tomography Workshop held at Sienna in October, 2000.  ... 
doi:10.1016/s0024-3795(01)00487-6 fatcat:vvqneuduabcklnrslzrjlrmk5q

An empirical study of algebraic-reconstruction techniques [chapter]

Ehsan Kazemi, Nedialko Nedialkov
2013 Computational Vision and Medical Image Processing IV  
We propose a simple heuristic for finding a good relaxation parameter for each of these methods.  ...  the reconstructed image.  ...  Discrete Radon Transform In discrete Radon transform, the X-ray machine does not assess the attenuation along every line t,θ .  ... 
doi:10.1201/b15810-19 fatcat:pfwnslhdzzfdro6kjeynpz5rre

Exploration of Multiscale Geometric Analysis for Enhancement and Structure Detection in MRCP Images

Rajasvaran Logeswaran
2018 Archives of Information Science and Technology  
However, MRCP images are often noisy (low signal-to-noise ratio) and suffer from the influence of artifacts, partial volume and large inter-image variations.  ...  The findings may contribute to assist in the development of automatic computer-aided diagnosis systems for liver diseases affecting the bile ducts as well as in clinical diagnosis.  ...  It is based on the finite radon transform (FRAT). FRIT, for a function f, can be written as [21] : According to [28] , the FRIT is only suitable for images of prime-pixels length.  ... 
doi:10.36959/863/754 fatcat:y63o4k6uwbhclk5gbng3gt6gfi

Joint source–channel coding: Secured and progressive transmission of compressed medical images on the Internet

Marie Babel, Benoît Parrein, Olivier Déforges, Nicolas Normand, Jean-Pierre Guédon, Véronique Coat
2008 Computerized Medical Imaging and Graphics  
In this context, the use of scalable coding, Locally Adapted Resolution (LAR) and a discrete and exact Radon transform, known as the Mojette transform, meets this twofold requirement.  ...  joint source-channel coding system proposed in this paper has two aims: lossless compression with a progressive mode and the integrity of medical data, which takes into account the priorities of the image  ...  The direct Mojette transform The Mojette transform [31] is an exact and discrete Radon transform.  ... 
doi:10.1016/j.compmedimag.2008.01.002 pmid:18289830 fatcat:uuql3hody5dihbfsjcbazjrxi4

Projective Transforms on Periodic Discrete Image Arrays [chapter]

Andrew Kingston, Imants Svalbe
2006 Advances in Imaging and Electron Physics  
The authors would like to thank Professor Jean-Pierre Guédon and the Mojette team fromÉcole polytechnique de l'Université de Nantes, for their input on the applications of redundancy in projections.  ...  We would also like to thank Fred Ninio from the School of Physics, Monash University, and Associate Professor Graham Farr from the School of Computer Science, Monash University, for their helpful discussions  ...  Discrete Radon Transform Formalisms Generalised DRT The class of transforms designated discrete Radon transforms was defined by Beylkin (1987) .  ... 
doi:10.1016/s1076-5670(05)39002-1 fatcat:cvmnle3jqjaktkz2p7sl75njtu

Real-time hardware acceleration of the trace transform

Suhaib A. Fahmy, Christos-Savvas Bouganis, Peter Y. K. Cheung, Wayne Luk
2007 Journal of Real-Time Image Processing  
It is a generalisation of the Radon transform that has been widely used in image processing for decades.  ...  The trace transform is a novel algorithm that has been shown to be effective in a number of image recognition tasks.  ...  Furthermore, the trace transform does not retain the mathematical properties of the Radon transform nor its relationship to other transforms, hence work such as that in [12] cannot be adapted for a trace  ... 
doi:10.1007/s11554-007-0061-x fatcat:nzfk4gtkwfec7moke2jbdn4n7m

Generic Scale-Space Architecture for Handwriting Documents Analysis [chapter]

Joutel Guillaume, Eglin Veronique, Emptoz Hubert
2010 Pattern Recognition Recent Advances  
Features extraction DCTG2 The version of the Curvelets transform introduced in section 0 uses the Radon transform. This transform is difficult to discretize.  ...  The linear transforms of Fourier and Gabor were until recently the only alternatives to the representation and modelling of greyscale images.  ...  /pattern-recognition-recentadvances/generic-scale-space-architecture-for-handwriting-documents-analysis  ... 
doi:10.5772/9358 fatcat:nky4w4k4orbn7os23qjoybxyem

Template-Based Image Reconstruction from Sparse Tomographic Data [article]

Lukas F. Lang, Sebastian Neumayer, Ozan Öktem, Carola-Bibiane Schönlieb
2019 arXiv   pre-print
Finally, we demonstrate the performance of our method for template-based image reconstruction from highly undersampled and noisy Radon transform data.  ...  We propose a variational regularisation approach for the problem of template-based image reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed tomography.  ...  We gratefully acknowledge the support of NVIDIA Corporation with the donation of the Quadro P6000 GPU used for this research.  ... 
arXiv:1810.08596v2 fatcat:4ibxop5ywzbx5ngzencek7v33y

Missing wedge computed tomography by iterative algorithm DIRECTT

2016 Journal of Microscopy  
For the purpose of assessing the reconstruction quality Fourier transforms are employed to visualise the MW directly.  ...  Weise (IFAM Bremen) for supply of the foam sample.  ...  The discrete density values are modified continuously in order to approach a non-binary greyscale representation of the true density pattern.  ... 
doi:10.1111/jmi.12313 pmid:26367127 fatcat:nfikspwzxzfwbgwfhmm4qs3wyq

Template-Based Image Reconstruction from Sparse Tomographic Data

Lukas F. Lang, Sebastian Neumayer, Ozan Öktem, Carola-Bibiane Schönlieb
2019 Applied Mathematics and Optimization  
Finally, we demonstrate the performance of our method for template-based image reconstruction from highly undersampled and noisy Radon transform data.  ...  We propose a variational regularisation approach for the problem of template-based image reconstruction from indirect, noisy measurements as given, for instance, in X-ray computed tomography.  ...  For instance, the geometric group action transforms greyscale images in a way such that its intensity values are preserved, whereas the mass-preserving group action ensures that, when the image is regarded  ... 
doi:10.1007/s00245-019-09573-2 fatcat:phm2sal5wzccbayfunx2kbbkoy

A mathematical model and iterative inversion for fluorescent optical projection tomography

Ville Koljonen, Olli Koskela, Toni Montonen, Atena Rezaei, Birhanu Belay, Edite Figueiras, Jari Hyttinen, Sampsa Pursiainen
2019 Physics in Medicine and Biology  
As an improved direct model for the fluorescent OPT, we derive a weighted Radon transform based on the XFCT literature.  ...  The results demonstrate the importance of propagation modelling and our analysis provides a flexible modelling framework for fluorescent OPT that can easily be modified to adapt to different imaging setups  ...  Acknowledgments VK, AR and SP were funded by the Finnish Centre of Excellence for Inverse Modelling and Imaging.  ... 
doi:10.1088/1361-6560/aafd63 pmid:30630144 fatcat:3khdzodpfndzdnfm2sl46yzyou

Secured and progressive transmission of compressed images on the Internet: application to telemedicine

Marie Babel, Benoit Parrein, Olivier Deforges, Nicolas Normand, Jean-Pierre Guedon, Joseph Ronsin, Simone Santini, Raimondo Schettini, Theo Gevers
2005 Internet Imaging VI  
For this purpose, we present in this paper an original scalable image compression technique (LAR method) used in association with a channel coding method based on the Mojette Transform, so that a hierarchical  ...  This system provides a solution for secured transmission of medical images through low-bandwidth networks such as the Internet.  ...  MOJETTE TRANSFORM The direct transform The Mojette transform 8 is an exact and discrete Radon transform. It easily describes an image by a finite set of 1D-projections.  ... 
doi:10.1117/12.589191 fatcat:zpj34d4o5vbldo7lzshxk4wi2q

X-ray computed tomography

Philip J. Withers, Charles Bouman, Simone Carmignato, Veerle Cnudde, David Grimaldi, Charlotte K. Hagen, Eric Maire, Marena Manley, Anton Du Plessis, Stuart R. Stock
2021 Nature Reviews Methods Primers  
We explain the process of computationally reconstructing three-dimensional (3D) images from 2D radiographs and how to segment the 3D images for subsequent visualization and quantification.  ...  Finally, we consider the potential for radiation damage and common sources of imaging artefacts, discuss reproducibility issues and consider future advances and opportunities. ✉  ...  Radon transform An integral transform that projects a cross-sectional slice along a given direction to give the one-dimensional profile.  ... 
doi:10.1038/s43586-021-00015-4 fatcat:zftzpghzf5h37ptmt7ynyxfwii
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