Interpolation | Splines (mathematics)

Discrete spline interpolation

In the mathematical field of numerical analysis, discrete spline interpolation is a form of interpolation where the interpolant is a special type of piecewise polynomial called a discrete spline. A discrete spline is a piecewise polynomial such that its central differences are continuous at the knots whereas a spline is a piecewise polynomial such that its derivatives are continuous at the knots. Discrete cubic splines are discrete splines where the central differences of orders 0, 1, and 2 are required to be continuous. Discrete splines were introduced by Mangasarin and Schumaker in 1971 as solutions of certain minimization problems involving differences. (Wikipedia).

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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

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Discrete Fourier Transform - Example

We do a very simple example of a Discrete Fourier Transform by hand, just to get a feel for it. We quickly realize that using a computer for this is a good idea...

From playlist Mathematical Physics II Uploads

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The Discrete Fourier Transform

This video provides a basic introduction to the very widely used and important discrete Fourier transform (DFT). The DFT describes discrete-time signals as a weighted sum of complex sinusoid building blocks and is used in applications such as GPS, MP3, JPEG, and WiFi.

From playlist Fourier

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Maryna Viazovska (EPFL): Fourier interpolation

This lecture is about Fourier uniqueness and Fourier interpolation pairs. Suppose that we have two subsets X and Y of the Euclidean space. Can we reconstruct a function f from its restriction to the set X and the restriction of its Fourier transform to the set Y? We are interested in the p

From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"

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Introduction to Discrete and Continuous Functions

This video defines and provides examples of discrete and continuous functions.

From playlist Introduction to Functions: Function Basics

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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

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PERMUTATIONS and COMBINATIONS Review - Discrete Mathematics

Welcome to Discrete Math 2! The course topics are introduced right at the beginning. In this video, we review permutations, combinations, permutations with repetition, and combinations with repetition. If any of these topics are unclear, please refer to the Discrete Math 1 videos I have up

From playlist Discrete Math 2

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Discrete Fourier Transform - Introduction

An introduction to the Discrete Fourier Transform (DFT) and its interpretation.

From playlist Mathematical Physics II Uploads

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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

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Interpolations and Mappings with Applications in Image Processing

In this talk, Markus van Almsick reviews the most popular and most advanced interpolation methods and discusses their merits and shortcomings. The Wolfram Language provides many interpolation methods to construct continuous functions from discrete data points. Furthermore, interpolations a

From playlist Wolfram Technology Conference 2020

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Fourier Transforms: Discrete Fourier Transform, Part 3

Data Science for Biologists Fourier Transforms: Discrete 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

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Mod-01 Lec-14 Finite Difference Method (contd.) and Polynomial Interpolations

Advanced Numerical Analysis by Prof. Sachin C. Patwardhan,Department of Chemical Engineering,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist IIT Bombay: Advanced Numerical Analysis | CosmoLearning.org

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ch3 1: Splines; Introduction. Wen Shen

Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University

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CMPSC/Math 451, Feb 2, 2015. Error Theorem. Introduction to splines. Wen Shen

Error Theorem for polynomial interpolation. Examples. Introduction to splines. Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I

From playlist Numerical Computation spring 2015. Wen Shen. Penn State University.

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Ahmed Ratnani: Towards complex and realistic tokamaks geometries in computational plasma physics

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 Mathematical Physics

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Mod-01 Lec-16 Numerical Differentiation

Elementary Numerical Analysis by Prof. Rekha P. Kulkarni,Department of Mathematics,IIT Bombay.For more details on NPTEL visit http://nptel.ac.in

From playlist NPTEL: Elementary Numerical Analysis | CosmoLearning Mathematics

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Lecture 20: Introduction to Animation (CMU 15-462/662)

Full playlist: https://www.youtube.com/playlist?list=PL9_jI1bdZmz2emSh0UQ5iOdT2xRHFHL7E Course information: http://15462.courses.cs.cmu.edu/

From playlist Computer Graphics (CMU 15-462/662)

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Xavier Warin: Branching for PDEs

Abstract: Branching methods have recently been developed to solve some PDEs. Starting from Mckean formulation, we give the initial branching method to solve the KPP equation. We then give a formulation to solve non linear equation with a non linearity polynomial in the value function u. Th

From playlist Probability and Statistics

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Represent a Discrete Function Using Ordered Pairs, a Table, and Function Notation

This video explains how to represent a discrete function given as points as ordered pairs, a table, and using function notation. http://mathispower4u.com

From playlist Introduction to Functions: Function Basics

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Lecture 16: Fast Convolution, Low Pass Filter Approximations, Integral Images (US 6,457,032)

MIT 6.801 Machine Vision, Fall 2020 Instructor: Berthold Horn View the complete course: https://ocw.mit.edu/6-801F20 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP63pfpS1gV5P9tDxxL_e4W8O In this lecture, Prof. Horn discusses sampling and aliasing, integral images, Fou

From playlist MIT 6.801 Machine Vision, Fall 2020

Related pages

Interpolation | Polynomial | Numerical analysis | Piecewise | Spline (mathematics) | Derivative | Continuous function