Wavelets | Splines (mathematics)
In the mathematical theory of wavelets, a spline wavelet is a wavelet constructed using a spline function. There are different types of spline wavelets. The interpolatory spline wavelets introduced by C.K. Chui and J.Z. Wang are based on a certain spline interpolation formula. Though these wavelets are orthogonal, they do not have compact supports. There is a certain class of wavelets, unique in some sense, constructed using B-splines and having compact supports. Even though these wavelets are not orthogonal they have some special properties that have made them quite popular. The terminology spline wavelet is sometimes used to refer to the wavelets in this class of spline wavelets. These special wavelets are also called B-spline wavelets and cardinal B-spline wavelets. The Battle-Lemarie wavelets are also wavelets constructed using spline functions. (Wikipedia).
Spline is an easy to use 3D design tool geared for any designer regardless of their 3D experience. It's simpler to learn than full featured 3D apps—such as Cinema 4D or Blender—because it doesn't bog you down with loads and loads of settings and features. Best of all, it is browser-based a
From playlist Web Animations
Programming & Using Splines - Part#1
Splines, in this case Catmull-Rom splines, offer a simple way to have curves in your applications. This video explores the programming to use spline paths and loops that go through all control points yielding an effective way to have more natural NPC AI behaviour. Github: https://github.c
From playlist Interesting Programming
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
Solution to problems dealing with the Doppler effect.
From playlist Physics - Waves
Explaining the Doppler effect. Worked problems.
From playlist Physics - Waves
Angela Kunoth: 25+ Years of Wavelets for PDEs
Abstract: Ingrid Daubechies' construction of orthonormal wavelet bases with compact support published in 1988 started a general interest to employ these functions also for the numerical solution of partial differential equations (PDEs). Concentrating on linear elliptic and parabolic PDEs,
From playlist Numerical Analysis and Scientific Computing
Solution to problems dealing with the Doppler effect.
From playlist Physics - Waves
Programming & Using Splines - Part#2
A direct follow on from Splines Part 1, in this video we look at how to move objects around a spline at a constant(ish) velocity. This approach is an approximation but it is good enough for games, and in particular, non-player character motion. It also shows the costs associated with usin
From playlist Interesting Programming
Signal Processing in One and More Dimensions
Markus van Almsick To learn more about the Wolfram Technologies, visit http://www.wolfram.com The European Wolfram Technology Conference featured both introductory and expert sessions on all major technologies and many applications made possible with Wolfram technology. Learn to achieve
From playlist European Wolfram Technology Conference 2015
Michael Unser: Wavelets and stochastic processes: how the Gaussian world became sparse
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist 30 years of wavelets
Lec 27 | MIT 18.085 Computational Science and Engineering I
Multiresolution, wavelet transform and scaling function A more recent version of this course is available at: http://ocw.mit.edu/18-085f08 License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 18.085 Computational Science & Engineering I, Fall 2007
Understanding Wavelets, Part 1: What Are Wavelets
This introductory video covers what wavelets are and how you can use them to explore your data in MATLAB®. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr The video focuses on two important wavelet transform concepts: scaling and shifting. The concepts ca
From playlist Understanding Wavelets
Hybrid sparse stochastic processes and the resolution of (...) - Unser - Workshop 2 - CEB T1 2019
Michael Unser (EPFL) / 12.03.2019 Hybrid sparse stochastic processes and the resolution of linear inverse problems. Sparse stochastic processes are continuous-domain processes that are specified as solutions of linear stochastic differential equations driven by white Lévy noise. These p
From playlist 2019 - T1 - The Mathematics of Imaging
Anthony Nouy: Approximation and learning with tree tensor networks - Lecture 2
Recorded during the meeting "Data Assimilation and Model Reduction in High Dimensional Problems" the July 21, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Luca Récanzone A kinetic description of a plasma in external and self-consistent fiel
From playlist Numerical Analysis and Scientific Computing
Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist 30 years of wavelets
Tyson Littenberg - Building flexible, but not too flexible, models of gravitational wave data
Recorded 15 November 2021. Tyson Littenberg of the NASA - Marshall Space Flight Center presents "Building flexible, but not too flexible, models of gravitational wave data" at IPAM's Workshop III: Source inference and parameter estimation in Gravitational Wave Astronomy. Abstract: Gravitat
From playlist Workshop: Source inference and parameter estimation in Gravitational Wave Astronomy
Houman Owhadi: "On interplays between stochastic and numerical analysis"
High Dimensional Hamilton-Jacobi PDEs 2020 Workshop IV: Stochastic Analysis Related to Hamilton-Jacobi PDEs "On interplays between stochastic and numerical analysis" Houman Owhadi - California Institute of Technology, ACM Abstract: Although numerical approximation and statistical inferen
From playlist High Dimensional Hamilton-Jacobi PDEs 2020
Rob Stevenson: Convergence theory of adaptive finite element methods (AFEM)
Details of the proof of convergence of AFEM applied to elliptic PDEs will be presented. We introduce approximation classes, and prove that AFEMs converge with the best possible rate. The lecture was held within the framework of the Hausdorff Trimester Program Multiscale Problems: Winter S
From playlist HIM Lectures: Trimester Program "Multiscale Problems"
A perfect wave front in the Bermuda triangle billiard
A wave front in a medium without dispersion or interference (geometric optics approximation), starting from the center of an equilateral triangle, and reflected from the boundary of the triangle. This is analogous to the video https://youtu.be/03E8bBrTymo but with more symmetry, due both t
From playlist Wave fronts in billiards (Geometric optics approximation)