dlaplacian (MathScript RT Module Function)
Owning Class: vector
Requires: MathScript RT Module
Syntax
c = dlaplacian(a)
c = dlaplacian(a, d)
c = dlaplacian(a, dx, dy)
Legacy Name: del2
Description
Computes the discrete version of the Laplacian. The algorithm in this function works by extrapolating boundary conditions.
Inputs
| Name | Description |
|---|---|
| a | Specifies the values of the function for which you want to compute the Laplacian. a is a matrix. |
| d | Specifies the spacing between points along the x- and y-axes, or between values of the first and second dimensions in a 2D array. d is an array of real, double-precision, floating-point numbers. The default is 1, or dx = dy = 1. |
| dx | Specifies the spacing between points along the x-axis, or between values of the second dimension in a 2D array. dx is an array of real, double-precision, floating-point numbers. The default is 1. |
| dy | Specifies the spacing between points along the y-axis, or between values of the first dimension in a 2D array. dy is an array of real, double-precision, floating-point numbers. The default is 1. |
Outputs
| Name | Description |
|---|---|
| c | Returns a matrix that represents the Laplacian scaled by 0.25. |
Details
You can specify the spacing between the points of the dlaplacian function in two ways. If dx or dy contains only one element, the spacing between two consecutive points on the corresponding axis is constant. If dx or dy contains more than one element, the values of the elements specify the coordinates of the points on the corresponding axis. The length of dx or dy must therefore conform to the corresponding dimension of a.
Examples
A = peakfcn2d(30);
C = dlaplacian(A);
surface(C)