6 тысяч подписчиков
117 видео
Steepest descent least-squares optimisation - derivation explained (watch before conjugate gradient)
Millikan's Nobel Prize: Oil Drop Experiment for Measuring the Fundamental Unit of Electric Charge
Master your understanding of convolution: what it is and how to understand it well
Get started with convolutional neural networks (CNNs) to process an image - Jupyter Notebook/PyTorch
Delta functions: Dirac delta and Kronecker delta for continuous and discrete function synthesis
How to undo convolution: deconvolution for image reconstruction (via Fourier & convolution theorem)
Image Reconstruction: demo of Fourier analysis and synthesis (Fourier transform and inverse)
Simple intro to high-dimensional vectors and manifolds
AI for PET Image Reconstruction: Basic Principles
Basics of least squares: modelling, predicting and reconstructing!
Filtered backprojection (FBP) for image reconstruction: central section theorem, Radon & Fourier
Photoelectric Effect Explained with Equations: Einstein's Nobel Prize Winning Work on Photons
AI vs. Physics in Image Reconstruction
Image reconstruction: sinograms, backprojected images, convolution, Radon & x-ray transform
Heisenberg's Uncertainty Principle, Momentum and Spatial Frequency
PET acquisition and iterative reconstruction (basics in 6 minutes!)
Bohr’s Quantum Leap in Atomic Modelling with Stunning Agreement with Experimental Results!
Image Reconstruction: why the Fourier transform is crucial for understanding convolution
Basics of k-space for MRI (magnetic resonance imaging)
Visualising 2D k-space and Fourier synthesis (1D & 2D, helps for image reconstruction and analysis)
Simple code for convolution and a CNN to denoise an image with real-time display in Python / PyTorch
Why Study Signals and Systems?
Schrödinger's Cat: Quantum Superposition
Understand 2D k-space, Fourier Synthesis & MRI!
PET sinograms & backprojection
Einstein's Nobel Prize: Photoelectric Effect
Schrodinger equation: fast, simple mathematical description with consideration of the hydrogen atom
Iterative Image Reconstruction
Signals & Systems 2021: Signals and Multi-Dimensional Functions
Schrodinger's cat: did you ever really get it, and the link to quantum computing?
Systems: defintion, examples for 1D and 2D signals
Learning a convolution kernel to denoise or recover resolution
Basics of AI for PET Image Reconstruction
Simple AI image processing (deep image prior)
Visual Training of a CNN as a Denoiser (Deep Image Prior)
Size of the Atomic Nucleus
Image reconstruction: FBP (filtered backprojection) basics, X-Ray Transform, Central Section Theorem
Quick intro to convolutional neural networks for image processing in PET
Image Reconstruction: Convolution Theorem and Diagonalisation
Convolution in 1D and matrix-vector notation (time or space reversal of the kernel demystified!)
Convolution in 2D
Deep image prior: simple code for image restoration with no training data needed
Wave-particle duality, wave functions, quantum superposition, wave function collapse
