Contour plot from x and y data points with corresponding contour level (2024)

FAQs

How to plot a contour plot? ›

You create a contour diagram corresponding to a function z = f(x, y) by creating a topographical map of its graph. You choose equally spaced elevations z = c for a bunch of values c, you find 1 Page 2 points on the graph for each elevation z = c, and then you project the curves on the graph onto the xy-plane.

Each contour is obtained by slicing the surface with the horizontal plane z = c, so the equation for the contour at height c is simply f(x, y) = c. (b) f(x, y) = cospx2 + y2. The two images below show the graph of f(x, y) = x2 + y2 being sliced by horizontal planes, and the accompanying contour diagram.

To display a contour plot for a mixture design, choose Stat > DOE > Mixture > Contour/Surface Plots. Select Contour plot and then click the corresponding Setup button. From Response, select the response variable that you want to plot.

fcontour( f ) plots the contour lines of the function z = f(x,y) for constant levels of z over the default interval [-5 5] for x and y . fcontour( f , xyinterval ) plots over the specified interval. To use the same interval for both x and y , specify xyinterval as a two-element vector of the form [min max] .

A contour of the function z(x,y) is a set of points in the (x,y) plane, such that z(x,y) is fixed at some constant value. That constant value is the contour "level". That set of points in the (x,y) plane is often called a level set.

A contour is obtained by slicing the surface with a horizontal plane with equation z = c. Thus, the equation for the contour at height c is given by: f(x, y) = c. contour diagram to the graph of f.

A contour plot provides a two-dimensional view in which all points that have the same response are connected to produce contour lines of constant responses. Contour plots are useful for investigating desirable response values and operating conditions.

ContourPlot is also known as an isoline, isocurve, level set or sublevel set. When given a function f, ContourPlot constructs contour curves corresponding to the level sets where f[x,y] has constant values d₁, d₂, etc.

Contour plots are useful for establishing the response values and operating conditions that you want. A 3D surface plot displays a 3-dimensional view of the surface. Like contour plots, 3D surface plots are useful for establishing response values and operating conditions that you want.

Specify levels as a scalar value n to display the contour lines at n automatically chosen levels (heights). To draw the contour lines at specific heights, specify levels as a vector of monotonically increasing values. To draw the contours at one height ( k ), specify levels as a two-element row vector [k k] .

What is contour plot in MATLAB? ›

A contour plot represents a 3-D surface by plotting lines that connect points with common z-values along a slice. For example, you can use a contour plot to visualize the height of a surface in two or three dimensions.

surfc( Z ) creates a surface and contour plot and uses the column and row indices of the elements in Z as the x- and y -coordinates. surfc( Z , C ) additionally specifies the surface color. surfc( ax ,___) plots into the axes specified by ax instead of the current axes.

Structure contours of a plane follow these rules:

the contour lines are evenly spaced, with spacing distance that is a function of the dip. from strike and dip one can construct the structure contours if you know the x,y,z position of one point, or can calculate strike and dip if giving the structure contours.

Rules of Contour Lines

By definition, contour lines separate points of higher elevation from points of lower elevation. This means it is always possible to define an “uphill” direction on one side of a contour and a “downhill” direction on the other side. Contour lines never cross.