peaks

Computes values of a function with lots of local maxima and minima.

Syntax

[XX, YY, ZZ] = peaks()
[XX, YY, ZZ] = peaks(n)
[XX, YY, ZZ] = peaks(x, y)
ZZ = peaks(...)

Arguments

n: Grid size. Default value is 49.
x: Grid over X-axis.
y: Grid over Y-axis.
XX, YY, ZZ: Computed coordinates.

Description

peaks returns the Cartesian coordinates of peaks function (without drawing it). The returned coordinates can be then plotted using surf. If n is a scalar, then coordinates are computed over a n x n grid. If n is a vector, then the coordinates are computed over a grid defined by n values (used for X-axis and Y-axis). When called with two input arguments, peaks computed coordinates over a grid defined by x values (for X-axis) and by y values (for Y-axis).

When called with only one output argument, peaks returns only z-coordinates.

The peaks function is defined as

$z = 3(1-x)^2e^{-x^2-(y+1)^2}-10(\frac{x}{5}-x^3-y^5)e^{-x^2-y^2}-\frac{1}{3}e^{-(x+1)^2-y^2}$

Examples

[x, y, z] = peaks(-4:0.2:4);
surf(x, y, z);
gcf().color_map = jet(64);

History

Version	Description
2025.1.0	Function `peaks` introduced.

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Last updated:
Thu May 22 12:54:25 CEST 2025