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3-D stream ribbon plot from vector volume data

`streamribbon(X,Y,Z,U,V,W,startx,starty,startz)`

streamribbon(U,V,W,startx,starty,startz)

streamribbon(vertices,X,Y,Z,cav,speed)

streamribbon(vertices,cav,speed)

streamribbon(vertices,twistangle)

streamribbon(...,width)

streamribbon(axes_handle,...)

h = streamribbon(...)

`streamribbon(X,Y,Z,U,V,W,startx,starty,startz)`

draws stream ribbons from vector volume data `U`

, `V`

, `W`

.

The arrays `X`

, `Y`

, and `Z`

,
which define the coordinates for `U`

, `V`

,
and `W`

, must be monotonic, but do not need to be
uniformly spaced. `X`

, `Y`

, and `Z`

must
have the same number of elements, as if produced by `meshgrid`

.

`startx`

, `starty`

, and `startz`

define
the starting positions of the stream ribbons at the center of the
ribbons. The section Specifying
Starting Points for Stream Plots provides more information
on defining starting points.

The twist of the ribbons is proportional to the curl of the vector field. The width of the ribbons is calculated automatically.

`streamribbon(U,V,W,startx,starty,startz)`

assumes `X`

, `Y`

, and `Z`

are
determined by the expression

[X,Y,Z] = meshgrid(1:n,1:m,1:p)

where `[m,n,p] = size(U)`

.

`streamribbon(vertices,X,Y,Z,cav,speed)`

assumes precomputed streamline vertices, curl angular velocity, and
flow speed. `vertices`

is a cell array of streamline
vertices (as produced by `stream3`

). `X`

, `Y`

, `Z`

, `cav`

,
and `speed`

are 3-D arrays.

`streamribbon(vertices,cav,speed)`

assumes `X`

, `Y`

, and `Z`

are
determined by the expression

[X,Y,Z] = meshgrid(1:n,1:m,1:p)

where `[m,n,p] = size(cav)`

.

`streamribbon(vertices,twistangle)`

uses the cell array of vectors `twistangle`

for the
twist of the ribbons (in radians). The size of each corresponding
element of `vertices`

and `twistangle`

must
be equal.

`streamribbon(...,width)`

sets the width of the ribbons to `width`

.

`streamribbon(axes_handle,...)`

plots into the axes object with the handle `axes_handle`

instead
of into the current axes object (`gca`

).

`h = streamribbon(...)`

returns a vector of handles (one per start point) to `surface`

objects.

This example uses stream ribbons to indicate the flow in the `wind`

data
set. Inputs include the coordinates, vector field components, and
starting location for the stream ribbons.

figure load wind [sx sy sz] = meshgrid(80,20:10:50,0:5:15); streamribbon(x,y,z,u,v,w,sx,sy,sz); % Define viewing and lighting axis tight shading interp; view(3); camlight lighting gouraud

This example uses precalculated vertex data (`stream3`

),
curl average velocity (`curl`

), and speed
.
Using precalculated data enables you to use values other than those
calculated from the single data source. In this case, the speed is
reduced by a factor of 10 compared to the previous example.

figure load wind [sx sy sz] = meshgrid(80,20:10:50,0:5:15); verts = stream3(x,y,z,u,v,w,sx,sy,sz); cav = curl(x,y,z,u,v,w); spd = sqrt(u.^2 + v.^2 + w.^2).*.1; streamribbon(verts,x,y,z,cav,spd); % Define viewing and lighting axis tight shading interp view(3) camlight; lighting gouraud

This example specifies a twist angle for the stream ribbon.

figure t = 0:.15:15; verts = {[cos(t)' sin(t)' (t/3)']}; twistangle = {cos(t)'}; streamribbon(verts,twistangle) % Define viewing and lighting axis tight shading interp view(3) camlight lighting gouraud

This example combines cone plots (`coneplot`

)
and stream ribbon plots in one graph.

figure % Define 3-D arrays x, y, z, u, v, w xmin = -7; xmax = 7; ymin = -7; ymax = 7; zmin = -7; zmax = 7; x = linspace(xmin,xmax,30); y = linspace(ymin,ymax,20); z = linspace(zmin,zmax,20); [x y z] = meshgrid(x,y,z); u = y; v = -x; w = 0*x+1; [cx cy cz] = meshgrid(linspace(xmin,xmax,30),... linspace(ymin,ymax,30),[-3 4]); h = coneplot(x,y,z,u,v,w,cx,cy,cz,'quiver'); set(h,'Color','k'); % Plot two sets of streamribbons [sx sy sz] = meshgrid([-1 0 1],[-1 0 1],-6); streamribbon(x,y,z,u,v,w,sx,sy,sz); [sx sy sz] = meshgrid([1:6],[0],-6); streamribbon(x,y,z,u,v,w,sx,sy,sz); % Define viewing and lighting shading interp view(-30,10) ; axis off tight camproj perspective; camva(66); camlookat; camdolly(0,0,.5,'fixtarget') camlight

`coneplot`

| `curl`

| `meshgrid`

| `stream3`

| `streamline`

| `streamtube`

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