Integral transforms | Integral geometry
In mathematics, the Radon transform is the integral transform which takes a function f defined on the plane to a function Rf defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes (integrating over lines is known as the X-ray transform). It was later generalized to higher-dimensional Euclidean spaces, and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose transform. The Radon transform is widely applicable to tomography, the creation of an image from the projection data associated with cross-sectional scans of an object. (Wikipedia).
Math 139 Fourier Analysis Lecture 27: Fourier projection theorem, Radon inversion
Proof of Fourier projection theorem; relation of Radon transform with Fourier transform; uniqueness theorem for Radon transform (of Schwartz class functions). Dual Radon transform. Filtered backprojection inversion formula for R^3. Statement of formula for general R^d. Wave equation an
From playlist Course 8: Fourier Analysis
Math 139 Fourier Analysis Lecture 26: Radial symmetry and Fourier transform. Radon transform.
Fourier transforms of radial functions: relations (involving Bessel functions) Radon transform: X-ray transform; Radon transform of Schwartz functions on R^3; Fourier Projection theorem (Fourier Slice theorem)
From playlist Course 8: Fourier Analysis
Introduction to the z-Transform
http://AllSignalProcessing.com for more great signal processing content, including concept/screenshot files, quizzes, MATLAB and data files. Introduces the definition of the z-transform, the complex plane, and the relationship between the z-transform and the discrete-time Fourier transfor
From playlist The z-Transform
Introduction to Radians (3 of 3: Formal definition & conversion)
More resources available at www.misterwootube.com
From playlist Trigonometry and Measure of Angles
stereolab - puncture in the radax permutation
check this out
From playlist the absolute best of stereolab
converting from radians to degrees and from degrees to radians
0:00 - 1:51 - What are radians? 1:51 - 6:00 - Degrees to Radians 6:00 - 10:24 - Radians to Degrees In this video, I go through the concept of radians, then show how to convert from degrees to radians and from radians to degrees. I go through many examples, covering the most common scenari
From playlist Trigonometry
A function space view of overparameterized neural networks - Rebecca Willet, University of Chicago
Contrary to classical bias/variance tradeoffs, deep learning practitioners have observed that vastly overparameterized neural networks with the capacity to fit virtually any labels nevertheless generalize well when trained on real data. One possible explanation of this phenomenon is that c
From playlist Statistics and computation
Generalized Radon transforms in tomography
Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems URL: https://www.icts.res.in/program/IP2014 Dates: Monday 16 Jun, 2014 - Saturday 28 Jun, 2014 Description In Inverse Problems the goal is to determine the properties of the interior of an object from
From playlist Advanced Instructional School on Theoretical and Numerical Aspects of Inverse Problems
Converting Between Degrees and Radians
Today, we take a look at how we can convert between degrees and radians, using simple formulas which we derive.
From playlist Trigonometry
Radians I: A Change in Perspective and Circular Arcs
Are you interested in math or physics tutoring for you or someone you know? Please check out my website for more details of my registered business, or give me a call or email anytime! https://www.whatthehectogon.com/ +1 (973) 597-8775 sam@whatthehectogon.com In this video, I introduce th
From playlist Trigonometry
Second Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series Talk
Date: Wednesday, October 21, 10:00am EDT Speaker: Chang-Ock Lee, Computational Mathematics and Imaging Lab, Department of Mathematical Sciences, KAIST Title: Artifact suppression in X-ray CT images Abstract: X-ray Computed Tomography (CT) is one of the most powerful techniques for visua
From playlist Imaging & Inverse Problems (IMAGINE) OneWorld SIAM-IS Virtual Seminar Series
Formulas related to Zastava spaces Jonathan Wang
Short talks by postdoctoral members Topic: Formulas related to Zastava spaces Speaker: Jonathan Wang Affiliation: Member, School of Mathematics Date: October 6, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Holographic Tomography | MIT 2.71 Optics, Spring 2009
Holographic Tomography Instructor: Aditya Bhakta, Danny Codd View the complete course: http://ocw.mit.edu/2-71S09 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 2.71 Optics, Spring 2009
Radians Intro (What are they? Converting Units, Draw Standard Position)
Learn what is a radian in this video math tutorial by Mario's Math Tutoring. We will discuss the formula for calculating an angle in radians based on the arc length and the radius. We will also discuss how to convert from degrees to radians and radians to degrees. We discuss approximate
From playlist Algebra 2
Talk by Jonathan Wang (MIT, USA)
L-functions and Geometric Harmonic Analysis on Spherical Varieties
From playlist Seminars: Representation Theory and Number Theory
DDPS | Distilling nonlinear shock waves
Classical reduced models rely on low-dimensional linear subspaces that are able to represent the solution manifold. For transport dominated problems, a suitable subspace does not exist, due to the slow decay in the Kolmogorov N-width of the solution manifold. In this talk, I will present d
From playlist Data-driven Physical Simulations (DDPS) Seminar Series
What is a Radian? An Explanation
This video will make it easy for you to understand what is meant by radian angle measurements. Included is a short comparison between degree and radian angle measurement, the definition of the radian, how to complete the unit circle without memorizing all of the radian angle measurement an
From playlist Rotational Motion