Vq = interpn (X1,X2,...,Xn,V,Xq1,Xq2,...,Xqn) returns interpolated values of a function of n variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X1,X2,...,Xn contain the coordinates of the sample points vq = interp1 (x,v,xq) returns interpolated values of a 1-D function at specific query points using linear interpolation. Vector x contains the sample points, and v contains the corresponding values, v (x). Vector xq contains the coordinates of the query points yi = interp1q (x,Y,xi) returns the value of the 1-D function Y at the points of column vector xi using linear interpolation. The vector x specifies the coordinates of the underlying interval. The length of output yi is equal to the length of xi. For interp1q to work properly

Vq = interp2 (X,Y,V,Xq,Yq) returns interpolated values of a function of two variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X and Y contain the coordinates of the sample points. V contains the corresponding function values at each sample point In Matlab, interpolation is the procedure of including new points within a defined range or a given set of points. It is used to find the missing data in the data set, smoothen the given data set or predict the outcome of the given data set. Various functions are associated with interpolation techniques ** F = scatteredInterpolant (x,y,v) creates an interpolant that fits a surface of the form v = F(x,y)**. Vectors x and y specify the (x,y) coordinates of the sample points. v is a vector that contains the sample values associated with the points (x,y)

Interpolation is used to estimate data points between two known points. The most common interpolation technique is Linear Interpolation. In MATLAB we can use the interp1()function Fortunately, Matlab has also several built-in function to interpolate values with different methods (' interp1 ', ' interp2 ', ' interp3 ', and ' interpn '). ' interp1 ' is called one dimensional interpolation because vector y depends on a single variable vector x. The calling syntax is ynew = interp1(x, y, xnew, method

MATLAB > Language Fundamentals > Matrices and Arrays > Matrix Indexing MATLAB > Mathematics > Interpolation > Interpolation of 2-D Selections in 3-D Grids Tag Taking note of the fact that you're interpolating each row of your matrix separately, we can use find and we can operate on the transpose of the matrix to find those column-major locations that are non-zero. This is important because we want to interpolate the matrix values per row and find works in column-major order Vq = interp3 (X,Y,Z,V,Xq,Yq,Zq) returns interpolated values of a function of three variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X, Y, and Z contain the coordinates of the sample points. V contains the corresponding function values at each sample point Perhaps if we just add a few more terms we may get there. The numerical issues of floating point arithmetic will often preclude true interpolation down to the least significant bit anyway. res = y - yhat; plot (x,res, 'bo' ) xlabel X ylabel Residuals grid on title 'Residuals for the tenth order fit' If you want simple linear interpolation between the two, you can apply a weight to each of the vectors V1 and V2 and add them together. At the top, V1 will be weighted by 1 and V2 should be weighted by 0. Similarly at the bottom, V2 should be weighted by 1 and V1 should be weighted by 0

1 Answer1. ZI = INTERP2 (X,Y,Z,XI,YI) interpolates to find ZI, the values of the underlying 2-D function Z at the points in matrices XI and YI. Matrices X and Y specify the points at which the data Z is given. XI can be a row vector, in which case it specifies a matrix with constant columns Second, perform the linear interpolation to predict the value of y at x=u, between the pair of points (x (k),y (k)) and (x (k+1),y (k+1)). Each data point in the list of points becomes a point where the slope of the piecewise linear interpolant changes to a ne vq = griddata (x,y,v,xq,yq) fits a surface of the form v = f(x,y) to the scattered data in the vectors (x,y,v). The griddata function interpolates the surface at the query points specified by (xq,yq) and returns the interpolated values, vq. The surface always passes through the data points defined by x and y

- Interpolation of values to find property states is frequently required for quality analysis. This video uses interpolation to show how to set up tables and.
- The reason is that it is difficult to interpolate on log scales and we can do it much better on the linear scales. In Matlab, b and m are found via polyfit function finds polynomial of the specified degree n that best fits the data in the least squares sense. 5-62 The polyfit function. Table 5.51 Command. Description. p = polyfit(x,y,n
- Interpolation. Interpolation is a technique for adding new data points within a range of a set of known data points. You can use interpolation to fill-in missing data, smooth existing data, make predictions, and more. Interpolation in MATLAB ® is divided into techniques for data points on a grid and scattered data points

- MATLAB Interpolation. Interpolation is the process of describing a function which connects the dots between specified (data) points. The most common interpolation technique is Linear Interpolation.. A more exotic interpolation scheme is to link the data points using third degree or cubic polynomials
- MATLAB: Interpolation over NaNs in a time series. 20. Fast interpolation of grid data. 3. Matlab reversed 2d interpolation interp2. 23. Fast linear interpolation in Numpy / Scipy along a path.
- I have Matlab 2013, and I want to apply spline interpolation in my data matrix with NaN values. Is there any other method which can do this. As fillmissing functon is not available in lower versions
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- function interpolation and root finding. Learn more about polynom interpolation, aitken, warning
**MATLAB** - MATLAB Basics: Interpolating data with interp1. This short video shows how you can take a sparsely sampled sine wave and use interp1 to interpolate the missing data points. Different interpolations such as linear, spline and nearest are all shown. Some people would consider this to be curve fitting to some degree. Video Player is loading

Interpolation in MATLAB. Blogs. Mount St. Helens and Matrix Rank. Blogs. Splines and Pchips. Blogs. Lagrange Interpolation Polynomial. Lagrange interpolation polynomial fitting with MATLAB. Lagrange polynomial interpolation. Comments. To leave a comment, please click here to sign in to your MathWorks Account or create a new one Vq = interpn(X1,X2,...,Xn,V,Xq1,Xq2,...,Xqn) returns interpolated values of a function of n variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X1,X2,...,Xn contain the coordinates of the sample points.V contains the corresponding function values at each sample point.Xq1,Xq2,...,Xqn contain the coordinates of the. Interpolation is the same operation as table lookup. Described in table lookup terms, the table is tab = [NaN,Y; X,Z] and interp2 looks up the elements of XI in X, YI in Y, and, based upon their location, returns values ZI interpolated within the elements of Z. Examples. Example 1. Interpolate the peaks function over a finer grid Vq = interp2(X,Y,V,Xq,Yq) returns interpolated values of a function of two variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X and Y contain the coordinates of the sample points.V contains the corresponding function values at each sample point.Xq and Yq contain the coordinates of the query points

and in Matlab are represented as a vector c. Beware: With this definition of the vector c of coefficients of a polynomial: N=numel(c) is one higher than the degree of . The subscripts run backwards! c(1) is the coefficient of the term with degree N-1, and the constant term is c(N). In this and some later labs, you will be writing m-files with functions analogous to polyfit and polyval, using. Code Issues Pull requests. This repository consist of MATLAB implementation of Numerical Algorithms that are taught in a first course of Numerical Analysis. interpolation matlab linear-systems nonlinear-equations numerical-methods numerical-integration numerical-analysis. Updated on Apr 3, 2019 Use scatteredInterpolant to perform interpolation on a 2-D or 3-D data set of scattered data . scatteredInterpolant returns the interpolant F for the given data set. You can evaluate F at a set of query points, such as (xq,yq) in 2-D, to produce interpolated values vq = F (xq,yq). Use griddedInterpolant to perform interpolation with gridded data As the degree of an interpolating polynomial increases, does the polynomial converge to the underlying function? The short answer is maybe. I want to describe a visual tool to help you investigate this question yourself.ContentsCarl Rungeinterp_gadgetVary coefficientVary number of pointsVary weightInitial configurationHigh degreeChebyshev distributionGaussian targetabs(x)Extra.

Linear Interpolation: Linear interpolation is so named because it is equivalent to connecting the data points with a straight line. Linear interpolation in MATLAB is obtained with the interp1 and interp2 functions.interp1 is used to linearly interpolate a function of one variable only: y =f(x) Where as interp2 is used to linearly interpolate a function of two variables: z = f(x,y Vq = interp3(X,Y,Z,V,Xq,Yq,Zq) returns interpolated values of a function of three variables at specific query points using linear interpolation. The results always pass through the original sampling of the function. X, Y, and Z contain the coordinates of the sample points.V contains the corresponding function values at each sample point.Xq, Yq, and Zq contain the coordinates of the query points Description. The Interpolation block interpolates discrete, real inputs by using linear or FIR interpolation. The block accepts a vector, a matrix, or an N-D array.The block outputs a scalar, a vector, a matrix, or an N-D array of the interpolated values.. You must specify the interpolation points, the times at which to interpolate values in a one-based interpolation array I Pts

You do this using Matlab's interp1 function. Look at the help file in Matlab. interp1 works like this: >> yi = interp1(x,y,xi,method) the vectors x and y are as you have them, they give the coordinates of the points. xi is a vector of points at which you would like Matlab to interpolate The task of interpolating between tic-marks on the scale of a graph is quite straightforward if the axis in question has a linear scale, because then one just has to do a linear interpolation. Have a look at Fig. 1. Between two tic-marks x1 and x2 we want to know the precise x-value corresponding to the marked cross. We can mea You can also interpolate 'B' to be the size of 'A', although that involves creating data (here 453 points, almost doubling its size), all of which assume it behaves in those regions the way it behaves in the regions you know. That's the reason I always suggest extrapolating the longer vector to the dimension of the shorter vector. You already know what it does, so there are fewer. Interpolating scattered data using scatteredInterpolant. The griddata function supports 2-D scattered data interpolation. The griddatan function supports scattered data interpolation in N-D; however, it is not practical in dimensions higher than 6-D for moderate to large point sets, due to the exponential growth in memory required by the underlying triangulation

- g/matlab
- In this video tutorial, Interpolation has been reviewed and implemented Using Cubic Splines in MATLAB. For more information and download the video and proj..
- Quadratic Interpolation of Spectral Peaks. In quadratic interpolation of sinusoidal spectrum-analysis peaks, we replace the main lobe of our window transform by a quadratic polynomial, or ``parabola''. This is valid for any practical window transform in a sufficiently small neighborhood about the peak, because the higher order terms in a Taylor series expansion about the peak converge to zero.
- MATLAB Language Tutorial - We initialize the data we want to interpolate:x = 0:0.5:10;y = sin(x/2);This means the underlying function for the data in the..
- 1-D interpolation (interp1d) ¶The interp1d class in scipy.interpolate is a convenient method to create a function based on fixed data points, which can be evaluated anywhere within the domain defined by the given data using linear interpolation. An instance of this class is created by passing the 1-D vectors comprising the data. The instance of this class defines a __call__ method and can.
- Cubic interpolation used in MATLAB 5 For the 'nearest' , 'linear' , and 'v5cubic' methods, interp1(x,Y,xi,method) returns NaN for any element of xi that is outside the interval spanned by x . For all other methods, interp1 performs extrapolation for out of range values

- Interpolating the temperature data adds detail to the image and greatly improves the usefulness of the data within the area of measurements. Gridded Interpolation Methods. The grid-based interpolation functions and objects in MATLAB offer several different methods for interpolation
- ed how many points are required to compensate for the subsequent linear interpolation. The section on Maple demonstrates how linear interpolation may be used in graphics. Matlab. The following code finds th
- Reading the interp1 and interp2 documentation shows that they support a lot more than just linear interpolation, including variations of splines and cubic interpolation. The documentation is available online for everyone to read. Find the treasures in MATLAB Central and discover how the community can help you! Start Hunting
- I am working on this side project, which involves removing the artefact of a given nerve conduction signal. It's going quite well; I have implemented the a butterford signal and extract the the major onset artefact
- Compare the interpolation results produced by spline, pchip, and makima for two different data sets. These functions all perform different forms of piecewise cubic Hermite interpolation. Each function differs in how it computes the slopes of the interpolant, leading to different behaviors when the underlying data has flat areas or undulations
- Description. Vq = geointerp (V,R,latq,lonq) interpolates the geographically referenced raster V, using bilinear interpolation. The function returns a value in Vq for each of the query points in arrays latq and lonq. R is a geographic raster reference object that specifies the location and extent of data in V
- Use the sizes of the first two matrix dimensions to resample the image so that it is 120% the size. That is, for each 5 pixels in the original image, the interpolated image has 6 pixels. Evaluate the interpolant at the query points with the syntax F ( {xq,yq}). griddedInterpolant evaluates each page in the 3-D image at the query points

- Linear interpolation on a set of data points (x 0, y 0), (x 1, y 1), , (x n, y n) is defined as the concatenation of linear interpolants between each pair of data points.This results in a continuous curve, with a discontinuous derivative (in general), thus of differentiability class.. Linear interpolation as approximation. Linear interpolation is often used to approximate a value of some.
- Description. yi = interp1q (x,Y,xi) returns the value of the 1-D function Y at the points of column vector xi using linear interpolation. The vector x specifies the coordinates of the underlying interval. The length of output yi is equal to the length of xi. x must be a monotonically increasing column vector
- @Fernand ASSENE: in the original question all NaN were replaced by the average of the two non-NaN values on either side. If you have a NaN at the start then there are no such two values and so you will have to be more specific about what you expect to be returned, e.g.

Hi, i am trying to interpolate T, P, rho for any alt (altitude). Currently it grabs the closest values but is not good for number such as 85.6e3 (m) as this part of the cod Interpolation in MATLAB 44. Posted by Loren Shure, June 11, 2008. I'd like to introduce a new guest blogger - John D'Errico - an applied mathematician, now retired from Eastman Kodak, where he used MATLAB for over 20 years. Since then, MATLAB is.

improved interpolation. we can tell Matlab to use a better interpolation scheme: cubic polynomial splines like this. For this example, it only slightly improves the interpolated answer. That is because you are trying to estimate the value of an exponential function with a cubic polynomial, it fits better than a line, but it can't accurately. i have 37 points in in the interval [-.5 .5]. and i'm looking for a minimum. I have written a script which uses polyfit for the polynomial and polyder with fzero to find the minium of the interpolated function. but I get some warnings. When I try to interpolate for density values higher than the largest height value which is 1426.2, I only get a NaN value. F.eks when I try to interpolate at height 2000m like this: Out = interp1(Height,Density,2000)

z = 0:0.25:50; One way to find the y-values of z is piecewise linear interpolation. z_y = interp1 (x,y,z,'linear'); Hereby one calculates the line between two adjacent points and gets z_y by assuming that the point would be an element of those lines. interp1 provides other options too like nearest interpolation, z_y = interp1 (x,y,z, 'nearest') Create a vector of data and another vector with the -coordinates of the data. x = -4:4; y = [0 .15 1.12 2.36 2.36 1.46 .49 .06 0]; Interpolate the data using spline and plot the results. Specify the second input with two extra values [0 y 0] to signify that the endpoint slopes are both zero. Use ppval to evaluate the spline fit over 101 points. Interpolation of data. when we have data at two points but we need data in between them we use interpolation. Suppose we have the points (4,3) and (6,2) and we want to know the value of y at x=4.65, assuming y varies linearly between these points. we use the interp1 command to achieve this Back to M331: Matlab Codes, Notes and Links. Spline Interpolation in Matlab. Assume we want to interpolate the data (1,20), (3,17), (5,23), (7,19) using splines, and then evaluate the interpolated function at x=2, 4, 6 Interpolation. Interpolation is a technique for adding new data points within a range of a set of known data points. You can use interpolation to fill-in missing data, smooth existing data, make predictions, and more. Interpolation in **MATLAB** ® is divided into techniques for data points on a grid and scattered data points

polynomial interpolation for a given points using the Lagrange method. The result of the study showed that the manual calculating and the MATLAB mathematical modelling will give the same answer for evaluated x and graph. Key words: Data fitting, Polynomial, Interpolation, Lagrange interpolating formula, MATLAB INTRODUCTIO Download Curve And Surface Fitting With Matlab Interpolation Smoothing And Spline Fitting full book in PDF, EPUB, and Mobi Format, get it for read on your Kindle device, PC, phones or tablets. Curve And Surface Fitting With Matlab Interpolation Smoothing And Spline Fitting full free pdf book Symbolic interpolation in MATLAB. 0. As the input data I have three arrays: X contains the x-coordinates, Y contains the y-coordinates and Z is the function of the first two coordinates, Z = f (X,Y). The code is here: X = [0 1 5 4 2 5 0 5 3]; Y = [0 3 2 6 6 1 2 12 2]; Z = [500 440 300 580 410 800 700 400 700]; I know the way to interpolate.

MINCURVI Interpolation by minimum curvature method. ZI = MINCURVI(X,Y,Z,XI,YI) Interpolates values Z at known at points with coordinates X, Y to values ZI at points with coordinates XI, YI using minimum curvature method. For large number of known points it divides the domain into subdomains using the adaptive QUADTREE procedure This example shows how to perform linear interpolation on a scattered set of points with a specific Delaunay triangulation. You can use the triangulation method, pointLocation, to compute the enclosing triangle of a query point and the magnitudes of the vertex weights.The weights are called barycentric coordinates, and they represent a partition of unity * Kasson, Nin, Plouffe, and Hafner, Performing color space conversions with three-dimensional linear interpolation, Journal of Electronic Imaging, July 1995, Vol*. 4(3), pp. 226-250. A JavaScript-enabled browser is required to use the Get the MATLAB code link

KRIGING Interpolation from irregular points by Kriging. Index | toolbox > datafun > kriging.m toolbox > datafun > kriging. ** Interpolation Methods**. Interpolation is a process for estimating values that lie between known data points. Interpolation involves the construction of a function f that matches given data values , yi, at given data sites, xi, in the sense that f ( xi) = yi, all i. The interpolant, f, is usually constructed as the unique function of the form Interpolation refers to the process of creating new data points given within the given set of data.The above MATLAB code computes the desired data point within the given range of discrete data sets using the formula given by Gauss

Bilinear interpolation is simple type of linear interpolation in which we simply apply interpolation formula on both the x and y axis. So, let's have a brief overview of Bilinear Interpolation first and then we will move on to MATLAB implementation MATLAB Tips We're using the Runge function to examine the performance of our interpolation, which is fine. It means it's easy to increase the number of data points, get the derivative, and so on. However, the Runge function is pretty smooth, and easy to interpolate. Other functions can be used to give the interpolation routines a few headaches Matlab seems to like it, however two things happen: size(Vq) ans= 213 100 140; I can see NaN values in Vq; The reason behind is because I need to compare two matrices sampled at different frequency. So, I could either interpolate M to obtain a matrix of size 100x213x140 or reduce the size of my other matrix M2 of size 100x213x140 to 50x108x86. As an aside, with no offense intended to Calzino, there are other options available for interpolation. Firstly, of course, interp1 is a standard MATLAB function, with options for linear, cubic spline, and PCHIP interpolation. Cleve Moler (aka The Guy Who Wrote MATLAB) also has a Lagrange interpolation function available for download

21 Feb 2017. This is a great implementation of the Akima 1970 interpolation method (Akima-70). This gives less ringing and overshooting than the FFT interpolations, or natural, cubic, and not-a-knot spline algorithms, while also not introducing the broadening of apodized FFT interpolations or other convolution based interpolations Choose the best interpolat ion/extrap olation method for my data between inpaint_nans (method 1) and scatteredInterpolant (method 2 MATLAB Program: % Hermite interpolation % Find the approximate value of f(1.5) from % (x,y,y')= (0,1,1), (1,e,e), (2,.. How to do cubic interpolation from given sets of data; I have encountered a problem and would like to ask everyone to help solve it. The problem to be solved is how to close the following two fitted curves. Thank you very much for your enthusiastic answers. Connecting Data points in a smooth curve; How to label smooth spline grap

* UPDATE: The examples given here are meant to give mathematical insight into how sinc interpolation works by using a finite-time APPROXIMATION*.Sinc interpolation necessarily involves a circular convolution, which is not a finite computation in the time domain. If you actually need to do sinc interpolation, use the interpft function. It does an FFT, pads the FFT with zeros, and does an IFFT plotting 2D data by interpolating . Learn more about interpolation . The fewer data points you have, the harder it is for an interpolation method to be successful

- Polynomial Interpolation Matlab. Polynomial interpolation is unrelated from polynomial fitting. Polynomial fitting chase to take a single polynomial - generally of a low order - and finds those coefficients from which it gets the polynomial collectively as near to all the points as possible, but they may not actually hit any of the points
- Matlab for Parabolic Peak Interpolation. Section §F.2 lists Matlab/Octave code for finding quadratically interpolated peaks in the magnitude spectrum as discussed above. At the heart is the qint function, which contains the following: function [p,y,a] = qint(ym1,y0,yp1) %QINT - quadratic interpolation of three adjacent samples % % [p,y,a] = qint(ym1,y0,yp1) % % returns the extremum location p.
- interpolation function returns NANs. Learn more about interp1, interpolatio
- The simple case of piecewise linear interpolation and the more sophisticated method of cubic spline interpolation are both included in ginterp. An amusing example of spline interpolation is the matlab file plotsig.m, which uses cubic splines to interpolate President Clinton's signature. Mathematica animation
- function interpolation and root finding. Learn more about polynom interpolation, aitken, warning MATLAB

Interpolation. Interpolation is a method of estimating values between known data points. Use interpolation to smooth observed data, fill in missing data, and make predictions. Curve Fitting Toolbox™ functions allow you to perform interpolation by fitting a curve or surface to the data. For more information, see Interpolation Methods Perfect sinc interpolation in Matlab and Python. GitHub Gist: instantly share code, notes, and snippets In mathematics, bilinear interpolation is an extension of linear interpolation for interpolating functions of two variables (e.g., x and y) on a rectilinear 2D grid.. Bilinear interpolation is performed using linear interpolation first in one direction, and then again in the other direction. Although each step is linear in the sampled values and in the position, the interpolation as a whole is. And since there's a lot of C# here, I thought it would be a good idea, for programming diversity, to write this in Matlab/Octave. Forgive me guys :/ The Lagrange Polynomial This Lagrange Polynomial is a function (curve) that you create, that goes through a specific set of points (the basic interpolation rule) MATLAB > Mathematics > Interpolation > Tags Add Tags. bicubic bilinear doesnt work image processing interp2 interpolation nearest neighbor nearest neighbour. Cancel. Acknowledgements. Inspired: 3D Volume Interpolation with ba_interp3: Fast interp3 replacement. Community Treasure Hunt

what do you mean by interpolate this data and find a function? Do you mean fit a curve to this and find the function? interpolation means finding data points within your set that arent there based on the data around that point You don't know me. I am a student of NUST. I got ur id while searching for MATLAB tutorials regarding interpolation. I just wanna know if you have other MATLAB files regarding NUMERICAL ANALYSIS. If yes pls send them to me (if you dont mind ofcourse). Thanx * Hi, I am trying to build a 2-D bilinear interpolation function as shown below*. While using the profiler, I noticed that the maximum computation time is spent in finding upper and lower bound. temp = x (i,j) <= X; [idx1, ~] = find (temp, 1); x , y are scalars. and X, Y, V are gridded data with equal size of (m, n)

* 5*. Running the command edit interp2 allows you to see the source code of this particular function and then you can read the piece of code that deals with bicubic interpolation. In MATLAB R2011, there is even a paper being cited: Cubic Convolution Interpolation for Digital Image Processing, Robert G. Keys, IEEE Trans. on Acoustics, Speech, and. Interpolation of Multiple 1-D Value Sets. This example shows how to interpolate three 1-D data sets in a single pass using griddedInterpolant. This is a faster alternative to looping over your data sets. Define the x -coordinates that are common to all value sets. Define the sets of sample points along the columns of matrix V Newton polynomials provide a technique which allows an interpolating polynomial of n points to be found in O(n 2) time but only O(n) space. Horner's rule provides a very efficient method of evaluating these polynomials. Matlab. Newton interpolating polynomial may be found easily in Matlab In the mathematical field of numerical analysis, interpolation is a type of estimation, a method of constructing (finding) new data points based on the range of a discrete set of known data points. In engineering and science, one often has a number of data points, obtained by sampling or experimentation, which represent the values of a function. This book provides a comprehensive study in digital image interpolation with theoretical, analytical and Matlab implementation. It includes all historically and practically important interpolation algorithms, accompanied with Matlab source code on a website, which will assist readers to learn and understand the implementation details of each presented interpolation algorithm

* differences between griddata interpolation methods*. Learn more about griddata interpolation, matlab MATLAB MATLAB/Octave Python Description; sqrt(a) math.sqrt(a) Square root: log(a) math.log(a) Logarithm, base $e$ (natural) log10(a) math.log10(a) Logarithm, base 1 The device is known to have zero voltage when the offset is zero. Find an interpolating polynomial. We could approach this question in one of two ways: first, we could interpolate the points (0, 0), (2, 4), (3, 12), however, we could also interpolate a polynomial of the form p(x) = c 1 x 2 + c 2 x. Thus, we define the Vandermonde matri This book provides a comprehensive study in digital image interpolation with theoretical, analytical and Matlab ® implementation. It includes all historically and practically important interpolation algorithms, accompanied with Matlab ® source code on a website, which will assist readers to learn and understand the implementation details of each presented interpolation algorithm