/usr/share/octave/packages/geometry-1.7.0/geom3d/revolutionSurface.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {[@var{x}, @var{y}, @var{z}] =} revolutionSurface (@var{c1}, @var{c2}, @var{n})
## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} revolutionSurface (@var{curve}, @var{n})
## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} revolutionSurface (@dots{}, @var{theta})
## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} revolutionSurface (@dots{}, @var{line})
## Create a surface of revolution from a planar curve
##
## usage
## [X Y Z] = revolutionSurface(C1, C2, N);
## create the surface of revolution of parametrized function (xt, yt),
## with N+1 equally spaced slices, around the Oz axis.
## It assumed that C1 corresponds to the x coordinate, and that C2
## corresponds to the Oz coordinate.
##
## [X Y Z] = revolutionSurface(CURVE, N);
## is the same, but generating curve is given in a single parameter CURVE,
## which is a [Nx2] array of 2D points.
##
## [X Y Z] = revolutionSurface(..., THETA)
## where THETA is a vector, uses values of THETA for computing revolution
## angles.
##
## [X Y Z] = revolutionSurface(..., LINE);
## where LINE is a 1x4 array, specifes the revolution axis in the
## coordinate system of the curve. LINE is a row vector of 4 parameters,
## containing [x0 y0 dx dy], where (x0,y0) is the origin of the line and
## (dx,dy) is a direction vector of the line.
## The resulting revolution surface still has Oz axis as symmetry axis. It
## can be transformed using transformPoint3d function.
## Surface can be displayed using :
## @code{H = surf(X, Y, Z);}
## H is a handle to the created patch.
##
## revolutionSurface(...);
## by itself, directly shows the created patch.
##
## Example
## @example
## # draws a piece of torus
## circle = circleAsPolygon([10 0 3], 50);
## [x y z] = revolutionSurface(circle, linspace(0, 4*pi/3, 50));
## surf(x, y, z);
## axis square equal;
## @end example
##
## @seealso{surf, transformPoint3d, drawSphere, drawTorus, drawEllipsoid}
## @end deftypefn
function varargout = revolutionSurface(varargin)
## Initialisations
# default values
# use revolution using the full unit circle, decomposed into 24 angular
# segments (thus, some vertices correspond to particular angles 30°,
# 45°...)
theta = linspace(0, 2*pi, 25);
# use planar vertical axis as default revolution axis
revol = [0 0 0 1];
# extract the generating curve
var = varargin{1};
if size(var, 2)==1
xt = var;
yt = varargin{2};
varargin(1:2) = [];
else
xt = var(:,1);
yt = var(:,2);
varargin(1) = [];
end
# extract optional parameters: angles, axis of revolution
# parameters are identified from their length
while ~isempty(varargin)
var = varargin{1};
if length(var) == 4
# axis of rotation in the base plane
revol = var;
elseif length(var) == 1
# number of points -> create row vector of angles
theta = linspace(0, 2*pi, var);
else
# use all specified angle values
theta = var(:)';
end
varargin(1) = [];
end
## Create revolution surface
# ensure length is enough
m = length(xt);
if m==1
xt = [xt xt];
end
# ensure x and y are vertical vectors
xt = xt(:);
yt = yt(:);
# transform xt and yt to replace in the reference of the revolution axis
tra = createTranslation(-revol(1:2));
rot = createRotation(pi/2 - lineAngle(revol));
[xt yt] = transformPoint(xt, yt, tra*rot);
# compute surface vertices
x = xt * cos(theta);
y = xt * sin(theta);
z = yt * ones(size(theta));
## Process output arguments
# format output depending on how many output parameters are required
if nargout == 0
# draw the revolution surface
surf(x, y, z);
elseif nargout == 1
# draw the surface and return a handle to the shown structure
h = surf(x, y, z);
varargout{1} = h;
elseif nargout == 3
# return computed mesh
varargout = {x, y, z};
end
endfunction
%!demo
%! # draws a piece of torus
%! circle = circleAsPolygon ([10 0 3], 50);
%! [x y z] = revolutionSurface (circle, linspace(0, 4*pi/3, 50));
%! surf (x, y, z);
%! axis square equal;
|