Multidimensional signal processing
The fast Fourier transform (FFT) is an important tool in the fields of image and signal processing. The hexagonal fast Fourier transform (HFFT) uses existing FFT routines to compute the discrete Fourier transform (DFT) of images that have been captured with hexagonal sampling. The hexagonal grid serves as the optimal sampling lattice for isotropically band-limited two-dimensional signals and has a sampling efficiency which is 13.4% greater than the sampling efficiency obtained from rectangular sampling. Several other advantages of hexagonal sampling include consistent connectivity, higher symmetry, greater angular resolution, and equidistant neighbouring pixels. Sometimes, more than one of these advantages compound together, thereby increasing the efficiency by 50% in terms of computation and storage when compared to rectangular sampling. Despite all of these advantages of hexagonal sampling over rectangular sampling, its application has been limited because of the lack of an efficient coordinate system. However that limitation has been removed with the recent development of the hexagonal efficient coordinate system (HECS, formerly known as array set addressing or ASA) which includes the benefit of a separable Fourier kernel. The existence of a separable Fourier kernel for a hexagonally sampled image allows the use of existing FFT routines to efficiently compute the DFT of such an image. (Wikipedia).
This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an
From playlist Fourier
The Fourier Transform and Derivatives
This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow
From playlist Fourier
Math 139 Fourier Analysis Lecture 29: Finite Fourier Analysis; Fast Fourier Transform
Fourier coefficients of continuous functions on Z(N) (group of N-th roots of unity); Fourier inversion; Parseval-Plancherel formulae. Fast Fourier transform: how to best calculate the Fourier coefficients.
From playlist Course 8: Fourier Analysis
To Understand the Fourier Transform, Start From Quantum Mechanics
Develop a deep understanding of the Fourier transform by appreciating the critical role it plays in quantum mechanics! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics lessons: https://www.physicswithelliot.c
From playlist Physics Mini Lessons
Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k
From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM
The Fast Fourier Transform (FFT)
Here I introduce the Fast Fourier Transform (FFT), which is how we compute the Fourier Transform on a computer. The FFT is one of the most important algorithms of all time. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter
From playlist Fourier
What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.
From playlist Mathematical Physics II Uploads
Fourier Transforms: Discrete Fourier Transform, Part 1
Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 1 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Fourier
Fourier Transform as Applied to Materials Science
The Fourier transform is a versatile mathematical tool that finds application in fields ranging from image processing to coding and cryptography. In this talk, Amina Matt and George Varnavides illustrate its importance in the field of materials science through several applications: from th
From playlist Wolfram Technology Conference 2020
Lecture 21 (CEM) -- RCWA Tips and Tricks
Having been through the formulation and implementation of RCWA in previous lectures, this lecture discussed several miscellaneous topics including modeling 1D gratings with 3D RCWA, formulation of a 2D RCWA that incorporates fast Fourier factorization, RCWA for curved structures, truncatin
From playlist UT El Paso: CEM Lectures | CosmoLearning.org Electrical Engineering
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
Lorenzo Brandolese: Geometric structures in 2D Navier-Stokes flows
Geometric structures naturally appear in fluid motions. One of the best known examples is Saturn’s Hexagon, the huge cloud pattern at the level of Saturn’s north pole, remarkable both for the regularity of its shape and its stability during the past decades. In this paper we will address t
From playlist Jean-Morlet Chair - Hieber/Monniaux
MagLab User Summer School: Measuring Fermi Surfaces in Extreme Magnetic Fields
This video was recorded in 2016 at the National MagLab’s annual User Summer School, where early-career scientists learn from lab experts best practices for conducting experiments at the lab. For more information, please visit https://nationalmaglab.org/user-summer-school
From playlist User Summer School Talks
Self-organized formation of topologically robust grid cell modules from smooth.. by Sarthak Chandra
DISCUSSION MEETING NEUROSCIENCE, DATA SCIENCE AND DYNAMICS (ONLINE) ORGANIZERS: Amit Apte (IISER-Pune, India), Neelima Gupte (IIT-Madras, India) and Ramakrishna Ramaswamy (IIT-Delhi, India) DATE : 07 February 2022 to 10 February 2022 VENUE: Online This discussion meeting on Neuroscien
From playlist Neuroscience, Data Science and Dynamics (ONLINE)
Maryna Viazovska - 1/6 Automorphic Forms and Optimization in Euclidean Space
Hadamard Lectures 2019 The goal of this lecture course, “Automorphic Forms and Optimization in Euclidean Space”, is to prove the universal optimality of the E8 and Leech lattices. This theorem is the main result of a recent preprint “Universal Optimality of the E8 and Leech Lattices and I
From playlist Hadamard Lectures 2019 - Maryna Viazovska - Automorphic Forms and Optimization in Euclidean Space
Katerina Naydenova - Molecular structure extrapolation to zero dose with cryoEM - IPAM at UCLA
Recorded 15 November 2022. Katerina Naydenova of the University of Cambridge presents "Molecular structure extrapolation to zero dose with cryoEM" at IPAM's Cryo-Electron Microscopy and Beyond Workshop. Abstract: Most high-resolution information loss in cryomicrographs stems from radiation
From playlist 2022 Cryo-Electron Microscopy and Beyond
Exotic patterns in Faraday waves by Laurette Tuckerman (Sorbonne University, France)
ICTS Special Colloquium Title: Exotic patterns in Faraday waves Speaker: Laurette Tuckerman (Sorbonne University, France) Date & Time: Thu, 20 February 2020, 11:30 to 13:00 Venue: Emmy Noether Seminar Room, ICTS Campus, Bangalore Abstract: For the Faraday instability, by which stand
From playlist ICTS Colloquia
Fourier Transforms: Fast Fourier Transform, Part 3
Data Science for Biologists Fourier Transforms: Fast Fourier Transform Part 3 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton
From playlist Fourier
Sharp sphere packings – Maryna Viazovska – ICM2018
Number Theory | Combinatorics Invited Lecture 3.1 | 13.1 Sharp sphere packings Maryna Viazovska Abstract: In this talk we will speak about recent progress on the sphere packing problem. The packing problem can be formulated for a wide class of metric spaces equipped with a measure. An in
From playlist Number Theory