Link: https://en.wikipedia.org/wiki/Linear_interpolation
Description: WEBGiven the two red points, the blue line is the linear interpolant between the points, and the value y at x may be found by linear interpolation. In mathematics, linear interpolation is a method of curve fitting using linear polynomials to construct new data points within the range of a discrete set of known data points.
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Link: https://www.johndcook.com/interpolator.html
Description: WEBOnline calculator for linear interpolation and extrapolation. Given two (x, y) pairs and an additional x or y, compute the missing value.
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Link: https://www.cuemath.com/linear-interpolation-formula/
Description: WEBThe linear interpolation formula is the simplest method that is used for estimating the value of a function between any two known values. Understand more on linear interpolation formula along with derivation, examples, and FAQs.
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Link: https://ocw.mit.edu/courses/18-330-introduction-to-numerical-analysis-spring-2012/fd3b0e48e1babfcc36db7c012078318d_MIT18_330S12_Chapter3.pdf
Description: WEB1That's because, if we x j, we can divide Lk(x) by (x xj), j = 6 k. We obtain Lk(x) = (x xj)q(x) + r(x), where r(x) is a remainder of lower order than x xj, i.e., a constant. Since Lk(xj) = 0 we must have r(x) = 0. Hence (x xj) must be a factor of Lk(x). The same is true of any (x xj) for j …
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Link: https://math.libretexts.org/Bookshelves/Scientific_Computing_Simulations_and_Modeling/Scientific_Computing_(Chasnov)/I%3A_Numerical_Methods/8%3A_Interpolation
Description: WEBJul 18, 2022 · Here, we will consider the more useful piece-wise polynomial interpolation. The two most used are piecewise linear interpolation, and cubic spline interpolation. The first makes use of linear polynomials, and the second cubic polynomials.
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Link: https://math.libretexts.org/Bookshelves/Applied_Mathematics/Numerical_Methods_(Chasnov)/05%3A_Interpolation
Description: WEBMay 31, 2022 · Here, we will consider three interpolation algorithms: (1) polynomial interpolation; (2) piecewise linear interpolation, and; (3) cubic spline interpolation. 5.1: Polynomial Interpolation 5.2: Piecewise Linear Interpolation
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Link: https://en.wikipedia.org/wiki/Interpolation
Description: WEBLinear interpolation uses a linear function for each of intervals [ xk, xk+1 ]. Spline interpolation uses low-degree polynomials in each of the intervals, and chooses the polynomial pieces such that they fit smoothly together. The resulting function is …
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Link: https://pythonnumericalmethods.berkeley.edu/notebooks/chapter17.02-Linear-Interpolation.html
Description: WEBTRY IT! Find the linear interpolation at x = 1.5 x = 1.5 based on the data x = [0, 1, 2], y = [1, 3, 2]. Verify the result using scipy’s function interp1d. Since 1 < x < 2 1 < x < 2, we use the second and third data points to compute the linear interpolation.
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Link: https://www.khanacademy.org/computing/pixar/animate/parametric-curves/v/animation-5
Description: WEBMathematics of linear interpolation. First we'll use the slope intercept form of a line to define each frame along a straight line. Click here to review slope-intercept form of a line. Click here to do the Environment Modeling topic if you haven't already.
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Link: https://math.libretexts.org/Bookshelves/Applied_Mathematics/Numerical_Methods_(Chasnov)/05%3A_Interpolation/5.02%3A_Piecewise_Linear_Interpolation
Description: WEBMay 31, 2022 · Here, we discuss the simpler case of linear polynomials. This is the default interpolation typically used when plotting data. Suppose the interpolating function is \(y=g(x)\), and as previously, there are \(n+1\) points to interpolate. We construct the function \(g(x)\) out of \(n\) local linear polynomials. We write
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