Contour plot under a 3-D shaded surface plot
h = surfc(...)
surfc(Z) creates a contour plot under the three-dimensional shaded surface from the z components in matrix Z, using x = 1:n and y = 1:m, where [m,n] = size(Z). The height, Z, is a single-valued function defined over a geometrically rectangular grid. Z specifies the color data, as well as surface height, so color is proportional to surface height.
surfc(X,Y,Z) uses Z for the color data and surface height. X and Y are vectors or matrices defining the x and y components of a surface. If X and Y are vectors, length(X) = n and length(Y) = m, where [m,n] = size(Z). In this case, the vertices of the surface faces are (X(j), Y(i), Z(i,j)) triples. To create X and Y matrices for arbitrary domains, use the meshgrid function.
surfc(axes_handles,...) plots into the axes with handle axes_handle instead of the current axes (gca).
surfc does not accept complex inputs.
Consider a parametric surface parameterized by two independent variables, i and j, which vary continuously over a rectangle; for example, 1 ≤ i ≤ m and 1 ≤ j ≤ n. The three functions x(i,j), y(i,j), and z(i,j) specify the surface. When i and j are integer values, they define a rectangular grid with integer grid points. The functions x(i,j), y(i,j), and z(i,j) become three m-by-n matrices, X, Y, and Z. Surface color is a fourth function, c(i,j), denoted by matrix C.
Each point in the rectangular grid can be thought of as connected to its four nearest neighbors.
i-1,j | i,j-1 - i,j - i,j+1 | i+1,j
This underlying rectangular grid induces four-sided patches on the surface. To express this another way, [X(:) Y(:) Z(:)] returns a list of triples specifying points in 3-D space. Each interior point is connected to the four neighbors inherited from the matrix indexing. Points on the edge of the surface have three neighbors. The four points at the corners of the grid have only two neighbors. This defines a mesh of quadrilaterals or a quad-mesh.
You can specify surface color in two different ways: at the vertices or at the centers of each patch. In this general setting, the surface need not be a single-valued function of x and y. Moreover, the four-sided surface patches need not be planar. For example, you can have surfaces defined in polar, cylindrical, and spherical coordinate systems.
The shading function sets the shading. If the shading is interp, C must be the same size as X, Y, and Z; it specifies the colors at the vertices. The color within a surface patch is a bilinear function of the local coordinates. If the shading is faceted (the default) or flat, C(i,j) specifies the constant color in the surface patch:
(i,j) - (i,j+1) | C(i,j) | (i+1,j) - (i+1,j+1)
In this case, C can be the same size as X, Y, and Z and its last row and column are ignored. Alternatively, its row and column dimensions can be one less than those of X, Y, and Z.
The surfc function specifies the viewpoint using view(3).
The range of X, Y, and Z or the current setting of the axes XLimMode, YLimMode, and ZLimMode properties (also set by the axis function) determines the axis labels.
The range of C or the current setting of the axes CLim and CLimMode properties (also set by the caxis function) determines the color scaling. The scaled color values are used as indices into the current colormap.