A planar Fourier capture array (PFCA) is a tiny camera that requires no mirror, lens, focal length, or moving parts. It is composed of angle-sensitive pixels, which can be manufactured in unmodified CMOS processes. Angle-sensitive pixels have a sensitivity to light that is sinusoidal in incident angle along the optically-sensitive axis, which can be interpreted as measuring one component of the 2D Fourier transform of the far-away scene. By making them all unique, each sensor of the PFCA relates a distinct component of the 2D Fourier transform of the far-away scene, and together they relate full Fourier information. Original images are reconstructed computationally after acquisition, or if raw Fourier coefficients are more useful for the application at hand, they are used directly. PFCAs do not perform an exact Fourier transform since outputs are real-valued and are not perfect sinusoidal transforms of the image. The transform is closer to a Hartley transform, but even this correspondence is not exact. Still, the mathematics underlying completeness of the Fourier transform are useful in designing and understanding PFCAs. Because PFCAs do not require focusing optics or moving parts, they can be made smaller than the smallest focusing camera. Counting only the active portions of the PFCA (and not the structural substrate giving it physical robustness), PFCAs are a factor of 105 smaller than the smallest focusing camera by volume. (Wikipedia).
This video introduces the concept of phased arrays. An array refers to multiple sensors, arranged in some configuration, that act together to produce a desired sensor pattern. With a phased array, we can electronically steer that pattern without having to physically move the array simply b
From playlist Understanding Phased Array Systems and Beamforming
A phased array seen from a larger distance
This simulation of a phased array shows a similar set-up as the videos https://youtu.be/HjuktbUdqJg and https://youtu.be/QA5sHJvKteg , but seen from further away still, so that one gets an idea of the way beams are formed by the phased array. The scale is 3 times as large as in the simulat
From playlist Wave equation
Quantization and Coding in A/D Conversion
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Real sampling systems use a limited number of bits to represent the samples of the signal, resulting in quantization of the signal amplitude t
From playlist Sampling and Reconstruction of Signals
An introduction to Beamforming
This video talks about how we actually have more control over the shape of the beam than just adding additional elements or adjusting the position and orientation of the elements. We can also adjust the gain of the signal to each element and apply phase unevenly to each element, and that
From playlist Understanding Phased Array Systems and Beamforming
Lecture 5: Lightfields, part 1 - Part 1
MIT MAS.531 Computational Camera and Photography, Fall 2009 Instructor: Ramesh Raskar View the complete course: https://ocw.mit.edu/courses/mas-531-computational-camera-and-photography-fall-2009/ YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP61pwA6paIRZ30q1sjLE8b6c L
From playlist MIT MAS.531 Computational Camera and Photography, Fall 2009
Continuum Modeling of Planar Cell Polarity by Mohd Suhail Rizvi
PROGRAM STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (ONLINE) ORGANIZERS: Debashish Chowdhury (IIT Kanpur), Ambarish Kunwar (IIT Bombay) and Prabal K Maiti (IISc, Bengaluru) DATE: 07 December 2020 to 18 December 2020 VENUE: Online 'Fluctuation-and-noise' are themes tha
From playlist Statistical Biological Physics: From Single Molecule to Cell (Online)
Inner Workings of ImageStitch: Live with the R&D team
Presentation begins at 2:43 In this stream, Markus van Almsick discusses the process of merging photos of a scene or panorama into a single coherent image. Follow us on our official social media channels. Twitter: https://twitter.com/WolframResearch/ Facebook: https://www.facebook.com/wo
From playlist Live with the R&D Team
Frequency Domain Interpretation of Sampling
http://AllSignalProcessing.com for more great signal-processing content: ad-free videos, concept/screenshot files, quizzes, MATLAB and data files. Analysis of the effect of sampling a continuous-time signal in the frequency domain through use of the Fourier transform.
From playlist Sampling and Reconstruction of Signals
Phased Array Antenna Beam Steering Animation (Beamforming visualized)
Beam steering via phased antenna arrays is demonstrated. The arrays are composed of 7 point sources uniformly spaced in a linear fashion (uniform linear array (ULA). The antenna separation is denoted by the parameter d. When the separation is smaller, the directivity of the array is narro
From playlist Electromagnetic Animations
Interface Technologies That Have Not Yet Left the Lab
(February 3, 2012) Johnny Lee talks about many of the most advanced technologies being developed today and discusses the pathway most technologies go through to be placed on the market. Lee describes how a combination of technological advances, consumer needs, and aesthetics lead to a succ
From playlist Lecture Collection | Human-Computer Interaction Seminar (2011-2012)
Michael Weinstein: Dispersive waves in novel 2d media; Honeycomb structures, Edge States ...
Abstract: We discuss the 2D Schrödinger equation for periodic potentials with the symmetry of a hexagonal tiling of the plane. We first review joint work with CL Fefferman on the existence of Dirac points, conical singularities in the band structure, and the resulting effective 2D Dirac dy
From playlist Partial Differential Equations
Laura Waller - 3D phase imaging with scattering samples - IPAM at UCLA
Recorded 12 October 2022. Laura Waller of the University of California, Berkeley, presents "3D phase imaging with scattering samples" at IPAM's Diffractive Imaging with Phase Retrieval Workshop. Abstract: This talk will describe new microscopy methods and computational algorithms that use
From playlist 2022 Diffractive Imaging with Phase Retrieval - - Computational Microscopy
The Two-Dimensional Discrete Fourier Transform
The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen
From playlist Fourier
HEDS | Simultaneous measurements of concentration & velocity fields at a shock-accelerated interface
HEDS Seminar Series – Riccardo Bonazza- April 29th, 2021 LLNL-VIDEO-824882
From playlist High Energy Density Science Seminar Series
Fourier Optics used for Optical Pattern Recognition
Optical Fourier transformations were performed using small lithographic patterns of different characters. A DLP projector can be used as a Fourier filter to do simple pattern recognition. Video contents: 0:00 General introduction 1:44 Fourier explained (simple) 3:45 Digging a bit deeper
From playlist optics
Wavelets: a mathematical microscope
Wavelet transform is an invaluable tool in signal processing, which has applications in a variety of fields - from hydrodynamics to neuroscience. This revolutionary method allows us to uncover structures, which are present in the signal but are hidden behind the noise. The key feature of w
From playlist Fourier
Session 3 - Anomalous Dimensions of Heavy Operators from Magnon Energies: Robert de Mello Koch
https://strings2015.icts.res.in/talkTitles.php
From playlist Strings 2015 conference
Tech Talks 2022: Video, Image & Audio Updates in the Wolfram Language
Join our host Rebecca Swyers as she talks to senior staff and developers who are using the Wolfram technologies in compelling ways. In this discussion Shadi Ashnai talks about Video, Image & Audio Updates in the Wolfram Language. Discussions will be streamed live on YouTube and Facebook
From playlist Tech Talks: Wolfram Technology Conference 2022
Image Compression and Wavelets (Examples in Matlab)
This video shows how to compress images with Wavelets (code in Matlab). Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 3 from: "Data-Driven Science and Engineering: Machine Learning, Dynamical Systems, and Control" by Brun
From playlist Data-Driven Science and Engineering
This video discusses how to compute the Discrete Fourier Transform (DFT) matrix in Matlab and Python. In practice, the DFT should usually be computed using the fast Fourier transform (FFT), which will be described in the next video. Book Website: http://databookuw.com Book PDF: http:
From playlist Data-Driven Science and Engineering