- CV and Medical Imaging
- Doppler effect Redshift, http://en.wikipedia.org/wiki/Redshift
- Otsu Thresholding, http://www.labbookpages.co.uk/software/imgProc/otsuThreshold.html
- https://en.wikipedia.org/wiki/X-ray_computed_tomography
- http://en.wikipedia.org/wiki/Medical_imaging#Conventional_tomography
- http://www.fda.gov/Radiation-EmittingProducts/RadiationEmittingProductsandProcedures/MedicalImaging/MedicalX-Rays/ucm115318.htm
- http://www.nibib.nih.gov/science-education/science-topics/computed-tomography-ct
- Radon transform and its complex analog is the Penrose transform.
- http://mathworld.wolfram.com/RadonTransform.html
- MATHWORKS Radon transform, http://www.mathworks.com/help/images/ref/radon.html
- Matlab’s image registration toolbox: http://www.mathworks.com/discovery/image-registration.html
- Slides on Radon transform, https://graphics.ethz.ch/teaching/viscomp11/downloads/VisComp07a_Radon_v02.pdf
- The Radon and Fourier Transforms: The mathematics of X-Rays and CT scans.
- http://matlab.izmiran.ru/help/toolbox/images/transf12.html
- http://matlab.izmiran.ru/help/toolbox/images/transfo8.html and http://matlab.izmiran.ru/help/toolbox/images/transfo9.html
- http://www.whydomath.org/node/tomography/radon.html
- http://www.encyclopediaofmath.org/index.php/Radon_transform
- FFT and Discrete Fourier Transform.
- FIT, https://en.wikipedia.org/wiki/Fourier_inversion_theorem
- Jake's FFT Notebook and the blog entry
- Time domain & Frequency domain, http://multimechatronics.com/images/uploads/freshman%20tuts/Time%20Domain%20&%20Frequency%20Domain.pdf
- What is the difference between Time domain and frequency domain?, http://www.researchgate.net/post/What_is_the_difference_between_Time_domain_and_frequency_domain10
- https://github.com/FFTW/fftw3
- http://www.fftw.org/
- https://en.wikipedia.org/wiki/FFTW
- http://ab-initio.mit.edu/~stevenj/thesis-ch1.pdf
- Filtered back projection: http://www.owlnet.rice.edu/~elec539/Projects97/cult/node2.html
- Reconstruction As a Set of Linear Equations, http://www.owlnet.rice.edu/~elec539/Projects97/cult/node7.html#SECTION00031000000000000000
- http://en.wikipedia.org/wiki/Projection-slice_theorem
- http://oftankonyv.reak.bme.hu/tiki-index.php?page=The+Central+Slice+Theorem
- Back Projection, http://www.snaggledworks.com/em_for_dummies/back_projection.html
- Image reconstruction, http://depts.washington.edu/nucmed/IRL/pet_intro/intro_src/section4.html
- Back projection – 2D points to 3D : http://chenlab.ece.cornell.edu/people/adarsh/publications/BackProjection.pdf
- In MATLAB, we can form an nxn FFT matrix by doing fft(eye(n)). In Julia, doing fft(eye(n)) doesn't seem to be giving me the same result. I am actually interested in randomly sampling the rows of a FFT matrix, and doing matrix-vector multiples with only those rows. I was wondering if there was a way to use plan_fft to get the nlogn flop speed using plan_fft in this case.
- Julia fft(A) is the 2d DFT of A. You can get MATLAB's behavior with fft(A, 1)
- http://en.wikipedia.org/wiki/Imaging_phantom
- CT Images, https://www.nlm.nih.gov/research/visible/fresh_ct.html
- https://sites.google.com/site/hispeedpackets/Home/shepplogan
- Reconstructing an Image from Parallel Projection Data.
- Viewing the Radon Transform as an Image.
- http://bigwww.epfl.ch/thevenaz/shepplogan/
- http://en.wikipedia.org/wiki/Computational_human_phantom
- http://www.virtualphantoms.org/phantoms.htm
- https://github.com/tomopy/tomopy, Docs
- Homepage: https://www1.aps.anl.gov/Science/Scientific-Software/TomoPy
- Paper: http://scripts.iucr.org/cgi-bin/paper?S1600577514013939
- PDF copy of TomoPy: a framework for the analysis of synchrotron tomographic data Doga Gursoy, Francesco De Carlo, Xianghui Xiao and Chris Jacobsen.
- The mathematics of tomography by Chris Budd and Cathryn Mitchell.
- Inversion of the Linear and Parabolic Radon Transform
- Principles of computerized tomographic imaging, Prof. Kak A. C. Kak and M. Slaney, IEEE Press, New York, 1988.
- The Radon transform, Toft Peter.
- https://books.google.co.in/books?id=H5r1YwWODpUC&pg=PA47&lpg=PA47&dq=fortran+radon+transform&source=bl&ots=4dWSHS0BdQ&sig=b0Jukoj89Zso-vSck0rnIr1tBNg&hl=en&sa=X&ei=us2HVevpIoSiugTBoYKQCQ&ved=0CCMQ6AEwAA#v=onepage&q=fortran%20radon%20transform&f=false
- Introduction to the Mathematics of Medical Imaging, Second Edition, Charles L. Epstein.
- EECS 516 Lecture Notes
- Focusing Computed Tomography
- COMPARISON BETWEEN FREQUENCY DOMAIN AND TIME DOMAIN METHODS FOR PARAMETER RECONSTRUCTION ON NONUNIFORM DISPERSIVE TRANSMISSION LINES, J. Lundstedt, M. Norgren.
- The tomographic reconstruction
- Paper: [Analytic and Iterative Reconstruction Algorithms in SPECT](Paper: jnm.snmjournals.org/content/43/10/1343.long) by Philippe P. Bruyant, PhD, 2002.
- 2D and 3D ISAR image reconstruction through filtered back projection
- Tomographic reconstruction of stress from photoelastic measurements using elastic regularization.
- EIT Reconstruction Algorithms: Pitfalls, Challenges and Recent Developments by William R.B. Lionheart, 2004.
- Tomographic Image Reconstruction.
- X-Ray computed tomography, IPIM, IST, José Bioucas, 2007.
- Radon Inversion in the Computed Tomography Problem, Ryan Walker, 2010-Nov-17.
- Debug # https://github.com/toivoh/Debug.jl
- Docile # Documentation
- Compat # https://github.com/JuliaLang/Compat.jl
- AxisArrays # https://github.com/mbauman/AxisArrays.jl
- DistributedArrays
- DASSL # https://github.com/pwl/DASSL.jl
- ForwardDiff # Math calculus differentiation
- JuMP # https://github.com/JuliaOpt/JuMP.jl, http://jump.readthedocs.org/en/latest/
- MDCT # discrete cosine transforms
- NFFT # https://github.com/tknopp/NFFT.jl