Title (' Three-time polynomial interpolation ')įor example: Within 24 hours of the day, the ambient temperature data measured at 2 hours per interval from 0 o'clock, respectively, areġ2,9,9,1,0,18, 24,28,27,25,20,18,15,13, and Title (' piecewise linear interpolation ') % INTERP1 piecewise linear interpolation of the sin function, when called INTERP1, the default is piecewise linear interpolation
These routines form a small suite of functions for working with piecewise polynomials. For the 'spline' method, interp1 calls a function spline that uses the functions ppval, mkpp, and unmkpp. : All interpolation methods require X to be monotonic, and Xi cannot exceed the range of X. The 'nearest' and 'linear' methods have straightforward implementations. Linear interpolation is indicated by default ' nearest ' is the nearest interpolation, ' linear ' linear interpolation, ' spline ' three times spline interpolation ' pchip ' cubic interpolation value. ' method ' means the interpolation method used, MATLAB provides a number of interpolation methods: Where x, Y is an interpolation point, Yi is the interpolation result at the interpolated Point Xi x, y is a vector, The interpolation function in MATLAB is INTERP1, its invocation format is: yi= interp1 (X,y,xi, ' method ') The procedure known as Y for X is the same as above, except that X and Y are exchanged. In this case, this method is called linear extrapolation-see extrapolation values. In fact, even if X is not between x0 and X1 and α is not between 0 and 1, this formula is also true. This allows you to get Y directly through Alpha. In this way, it can be expressed in algebra as: Since the x value is known, the value of α can be obtained from the formula: As shown in the figure, we get the two-point linear equation:Īssuming that the values on either side of the equation are alpha, then this value is the interpolation factor-the ratio of distance from x0 to X to the distance from x0 to X1. Suppose we know the coordinates (X0,Y0) and (x1,y1), we want to get the value of X on the line in the interval. Linear interpolation is the method of determining the value of an unknown quantity between these two known quantities using a line connecting two known quantities. If this particular function is a polynomial, it is called an interpolation polynomial. The interpolation method, also known as "interpolation method", is the function of the function f (x) in a certain interval known points, make appropriate specific functions, at other points in the interval with the value of this particular function as the approximate value of function f (x), this method is called interpolation method.
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