Sfgrayplot

smooth 2D plot of a surface defined by a function using colors

Calling Sequence

Sfgrayplot(x,y,f,<opt_args>)
Sfgrayplot(x,y,f [,strf, rect, nax, zminmax, colminmax, mesh, colout])

Arguments

:x,y real row vectors of size n1 and n2. : :f scilab function (z=f(x,y)) : :<opt_args> This represents a sequence of statements `key1=value1,

key2=value2` ,... where key1, key2,... can be one of the following: strf, rect, nax, zminmax, colminmax, mesh, colout (see plot2d for the 3 first and fec for the 4 last).

: :strf,rect,nax see plot2d. : :zminmax, colminmax, mesh, colout see fec. :

Description

Sfgrayplot is the same as fgrayplot but the plot is smoothed. The function fec is used for smoothing. The surface is plotted assuming that it is linear on a set of triangles built from the grid (here with n1=5, n2=3):

_____________
| /| /| /| /|
|/_|/_|/_|/_|
| /| /| /| /|
|/_|/_|/_|/_|

The function colorbar may be used to see the color scale (but you must know (or compute) the min and max values).

Instead of Sfgrayplot, you can use Sgrayplot and this may be a little faster.

Enter the command Sfgrayplot() to see a demo.

Sample

Examples

// example #1: plot 4 surfaces
function z=surf1(x, y), z=x*y, endfunction
function z=surf2(x, y), z=x^2-y^2, endfunction
function z=surf3(x, y), z=x^3+y^2, endfunction
function z=surf4(x, y), z=x^2+y^2, endfunction
`clf`_()
`xset`_("colormap",[`jetcolormap`_(64);`hotcolormap`_(64)])
x = `linspace`_(-1,1,60);
y = `linspace`_(-1,1,60);
`drawlater`_() ;
`subplot`_(2,2,1)
  `colorbar`_(-1,1,[1,64])
  Sfgrayplot(x,y,surf1,strf="041",colminmax=[1,64])
  `xtitle`_("f(x,y) = x*y")
`subplot`_(2,2,2)
  `colorbar`_(-1,1,[65,128])
  Sfgrayplot(x,y,surf2,strf="041",colminmax=[65,128])
  `xtitle`_("f(x,y) = x^2-y^2")
`subplot`_(2,2,3)
  `colorbar`_(-1,2,[65,128])
  Sfgrayplot(x,y,surf3,strf="041",colminmax=[65,128])
  `xtitle`_("f(x,y) = x^3+y^2")
`subplot`_(2,2,4)
  `colorbar`_(0,2,[1,64])
  Sfgrayplot(x,y,surf4,strf="041",colminmax=[1,64])
  `xtitle`_("f(x,y) = x^2+y^2")
`drawnow`_() ;
`show_window`_()

// example #2: plot surf3 and add some contour lines
function z=surf3(x, y), z=x^3+y^2, endfunction
`clf`_()
x = `linspace`_(-1,1,60);
y = `linspace`_(-1,1,60);
`xset`_("colormap",`hotcolormap`_(128))
`drawlater`_() ;
`colorbar`_(-1,2)
Sfgrayplot(x,y,surf3,strf="041")
`fcontour2d`_(x,y,surf3,[-0.1, 0.025, 0.4],style=[1 1 1],strf="000")
`xtitle`_("f(x,y) = x^3+y^2")
`drawnow`_() ;
`show_window`_()

// example #3: plot surf3 and use zminmax and colout optional arguments
//             to restrict the plot for -0.5<= z <= 1
function z=surf3(x, y), z=x^3+y^2, endfunction
`clf`_()
x = `linspace`_(-1,1,60);
y = `linspace`_(-1,1,60);
`xset`_("colormap",`jetcolormap`_(128))
`drawlater`_() ;
zminmax = [-0.5 1]; colors=[32 96];
`colorbar`_(zminmax(1),zminmax(2),colors)
Sfgrayplot(x, y, surf3, strf="041", zminmax=zminmax, colout=[0 0], colminmax=colors)
`fcontour2d`_(x,y,surf3,[-0.5, 1],style=[1 1 1],strf="000")
`xtitle`_("f(x,y) = x^3+y^2, with parts under z = -0.5 and upper z = 1 removed")
`drawnow`_() ;
`show_window`_()

See Also

• fec pseudo-color plot of a function defined on a triangular mesh
• fgrayplot 2D plot of a surface defined by a function using colors
• grayplot 2D plot of a surface using colors
• Sgrayplot smooth 2D plot of a surface using colors