NRBPLOT: Plot a NURBS curve or surface, or the boundary of a NURBS volume.
Calling Sequence:
nrbplot (nrb, npnts)
nrbplot (nrb, npnts, p, v)
INPUT:
nrb : NURBS curve, surface or volume, see nrbmak.
npnts : Number of evaluation points, for a surface or volume, a row
vector with the number of points along each direction.
[p,v] : property/value options
Valid property/value pairs include:
Property Value/{Default}
-----------------------------------
light {off} | on
colormap {'copper'}
Example:
Plot the test surface with 20 points along the U direction
and 30 along the V direction
nrbplot(nrbtestsrf, [20 30])
Copyright (C) 2000 Mark Spink
Copyright (C) 2010 Carlo de Falco, Rafael Vazquez
Copyright (C) 2012 Rafael Vazquez
This program is free software: you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation, either version 3 of the License, or
(at your option) any later version.
Demonstration 1
The following code
crv = nrbtestcrv;
nrbplot(crv,100)
title('Test curve')
hold off
Produces the following figure
| Figure 1 |
|---|
 |
Demonstration 2
The following code
coefs = [0.0 7.5 15.0 25.0 35.0 30.0 27.5 30.0;
0.0 2.5 0.0 -5.0 5.0 15.0 22.5 30.0];
knots = [0.0 0.0 0.0 1/6 1/3 1/2 2/3 5/6 1.0 1.0 1.0];
geom = [
nrbmak(coefs,knots)
nrbline([30.0 30.0],[20.0 30.0])
nrbline([20.0 30.0],[20.0 20.0])
nrbcirc(10.0,[10.0 20.0],1.5*pi,0.0)
nrbline([10.0 10.0],[0.0 10.0])
nrbline([0.0 10.0],[0.0 0.0])
nrbcirc(5.0,[22.5 7.5])
];
ng = length(geom);
for i = 1:ng
nrbplot(geom(i),500);
hold on;
end
hold off;
axis equal;
title('2D Geometry formed by a series of NURBS curves');
Produces the following figure
| Figure 1 |
|---|
 |
Demonstration 3
The following code
sphere = nrbrevolve(nrbcirc(1,[],0.0,pi),[0.0 0.0 0.0],[1.0 0.0 0.0]);
nrbplot(sphere,[40 40],'light','on');
title('Ball and torus - surface construction by revolution');
hold on;
torus = nrbrevolve(nrbcirc(0.2,[0.9 1.0]),[0.0 0.0 0.0],[1.0 0.0 0.0]);
nrbplot(torus,[40 40],'light','on');
hold off
Produces the following figure
| Figure 1 |
|---|
 |
Demonstration 4
The following code
knots = {[0 0 0 1/2 1 1 1] [0 0 0 1 1 1]...
[0 0 0 1/6 2/6 1/2 1/2 4/6 5/6 1 1 1]};
coefs = [-1.0000 -0.9734 -0.7071 1.4290 1.0000 3.4172
0 2.4172 0 0.0148 -2.0000 -1.9734
0 2.0000 4.9623 9.4508 4.0000 2.0000
1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
-0.8536 0 -0.6036 1.9571 1.2071 3.5000
0.3536 2.5000 0.2500 0.5429 -1.7071 -1.0000
0 2.0000 4.4900 8.5444 3.4142 2.0000
0.8536 1.0000 0.6036 1.0000 0.8536 1.0000
-0.3536 -4.0000 -0.2500 -1.2929 1.7071 1.0000
0.8536 0 0.6036 -2.7071 -1.2071 -5.0000
0 2.0000 4.4900 10.0711 3.4142 2.0000
0.8536 1.0000 0.6036 1.0000 0.8536 1.0000
0 -4.0000 0 0.7071 2.0000 5.0000
1.0000 4.0000 0.7071 -0.7071 -1.0000 -5.0000
0 2.0000 4.9623 14.4142 4.0000 2.0000
1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
-2.5000 -4.0000 -1.7678 0.7071 1.0000 5.0000
0 4.0000 0 -0.7071 -3.5000 -5.0000
0 2.0000 6.0418 14.4142 4.0000 2.0000
1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
-2.4379 0 -1.7238 2.7071 1.9527 5.0000
0.9527 4.0000 0.6737 1.2929 -3.4379 -1.0000
0 2.0000 6.6827 10.0711 4.0000 2.0000
1.0000 1.0000 0.7071 1.0000 1.0000 1.0000
-0.9734 -1.0000 -0.6883 0.7071 3.4172 1.0000
2.4172 0 1.7092 -1.4142 -1.9734 -2.0000
0 4.0000 6.6827 4.9623 4.0000 0
1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
0 -0.8536 0 0.8536 3.5000 1.2071
2.5000 0.3536 1.7678 -1.2071 -1.0000 -1.7071
0 3.4142 6.0418 4.4900 4.0000 0
1.0000 0.8536 0.7071 0.6036 1.0000 0.8536
-4.0000 -0.3536 -2.8284 1.2071 1.0000 1.7071
0 0.8536 0 -0.8536 -5.0000 -1.2071
0 3.4142 7.1213 4.4900 4.0000 0
1.0000 0.8536 0.7071 0.6036 1.0000 0.8536
-4.0000 0 -2.8284 1.4142 5.0000 2.0000
4.0000 1.0000 2.8284 -0.7071 -5.0000 -1.0000
0 4.0000 10.1924 4.9623 4.0000 0
1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
-4.0000 -2.5000 -2.8284 0.7071 5.0000 1.0000
4.0000 0 2.8284 -2.4749 -5.0000 -3.5000
0 4.0000 10.1924 6.0418 4.0000 0
1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
0 -2.4379 0 1.3808 5.0000 1.9527
4.0000 0.9527 2.8284 -2.4309 -1.0000 -3.4379
0 4.0000 7.1213 6.6827 4.0000 0
1.0000 1.0000 0.7071 0.7071 1.0000 1.0000
-1.0000 -0.9734 0.2071 2.4163 1.0000 3.4172
0 2.4172 -1.2071 -1.3954 -2.0000 -1.9734
2.0000 4.0000 7.0178 6.6827 2.0000 0
1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
-0.8536 0 0.3536 2.4749 1.2071 3.5000
0.3536 2.5000 -0.8536 -0.7071 -1.7071 -1.0000
1.7071 4.0000 6.3498 6.0418 1.7071 0
0.8536 1.0000 0.8536 0.7071 0.8536 1.0000
-0.3536 -4.0000 0.8536 0.7071 1.7071 1.0000
0.8536 0 -0.3536 -3.5355 -1.2071 -5.0000
1.7071 4.0000 6.3498 7.1213 1.7071 0
0.8536 1.0000 0.8536 0.7071 0.8536 1.0000
0 -4.0000 1.2071 3.5355 2.0000 5.0000
1.0000 4.0000 -0.2071 -3.5355 -1.0000 -5.0000
2.0000 4.0000 7.0178 10.1924 2.0000 0
1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
-2.5000 -4.0000 -0.5429 3.5355 1.0000 5.0000
0 4.0000 -1.9571 -3.5355 -3.5000 -5.0000
2.0000 4.0000 8.5444 10.1924 2.0000 0
1.0000 1.0000 1.0000 0.7071 1.0000 1.0000
-2.4379 0 -0.0355 3.5355 1.9527 5.0000
0.9527 4.0000 -1.4497 -0.7071 -3.4379 -1.0000
2.0000 4.0000 9.4508 7.1213 2.0000 0
1.0000 1.0000 1.0000 0.7071 1.0000 1.0000];
coefs = reshape (coefs, 4, 4, 3, 9);
horseshoe = nrbmak (coefs, knots);
nrbplot (horseshoe, [6, 6, 50], 'light', 'on');
Produces the following figure
| Figure 1 |
|---|
 |
Package: nurbs