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[Octave-cvsupdate] SF.net SVN: octave:[11054] trunk/octave-forge/main/geometry/inst
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From: <jpi...@us...> - 2012-09-19 21:18:36
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Revision: 11054
http://octave.svn.sourceforge.net/octave/?rev=11054&view=rev
Author: jpicarbajal
Date: 2012-09-19 21:18:26 +0000 (Wed, 19 Sep 2012)
Log Message:
-----------
geometry: Starting port of geom3d
Added Paths:
-----------
trunk/octave-forge/main/geometry/inst/geom3d/
trunk/octave-forge/main/geometry/inst/geom3d/anglePoints3d.m
trunk/octave-forge/main/geometry/inst/geom3d/angles3d.m
trunk/octave-forge/main/geometry/inst/geom3d/boxes3d.m
trunk/octave-forge/main/geometry/inst/geom3d/circles3d.m
trunk/octave-forge/main/geometry/inst/geom3d/geom3d_Contents.m
Added: trunk/octave-forge/main/geometry/inst/geom3d/anglePoints3d.m
===================================================================
--- trunk/octave-forge/main/geometry/inst/geom3d/anglePoints3d.m (rev 0)
+++ trunk/octave-forge/main/geometry/inst/geom3d/anglePoints3d.m 2012-09-19 21:18:26 UTC (rev 11054)
@@ -0,0 +1,106 @@
+## Copyright (c) 2011, INRA
+## 2004-2011, David Legland <dav...@gr...>
+## 2012 Adapted to Octave by Juan Pablo Carbajal <car...@if...>
+##
+## All rights reserved.
+## (simplified BSD License)
+##
+## 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 COPYRIGHT HOLDER 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.
+##
+## The views and conclusions contained in the software and documentation are
+## those of the authors and should not be interpreted as representing official
+## policies, either expressed or implied, of copyright holder.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} {@var{alpha} =} anglePoints3d (@var{p1}, @var{p2})
+## @deftypefnx {Function File} {@var{alpha} =} anglePoints3d (@var{p1}, @var{p2},@var{p3})
+## @deftypefnx {Function File} {@var{alpha} =} anglePoints3d (@var{pts})
+## Compute angle between three 3D points
+##
+## @var{alpha} = anglePoints3d(P1, P2)
+## Computes angle (P1, O, P2), in radians, between 0 and PI.
+##
+## @var{alpha} = anglePoints3d(P1, P2, P3)
+## Computes angle (P1, P2, P3), in radians, between 0 and PI.
+##
+## @var{alpha} = anglePoints3d(PTS)
+## PTS is a 3x3 or 2x3 array containing coordinate of points.
+##
+## @seealso{points3d, angles3d}
+## @end deftypefn
+
+function alpha = anglePoints3d(varargin)
+
+ p2 = [0 0 0];
+ if length(varargin)==1
+ pts = varargin{1};
+ if size(pts, 1)==2
+ p1 = pts(1,:);
+ p0 = [0 0 0];
+ p2 = pts(2,:);
+ else
+ p1 = pts(1,:);
+ p0 = pts(2,:);
+ p2 = pts(3,:);
+ end
+ elseif length(varargin)==2
+ p1 = varargin{1};
+ p0 = [0 0 0];
+ p2 = varargin{2};
+ elseif length(varargin)==3
+ p1 = varargin{1};
+ p0 = varargin{2};
+ p2 = varargin{3};
+ end
+
+ # ensure all data have same size
+ n1 = size(p1, 1);
+ n2 = size(p2, 1);
+ n0 = size(p0, 1);
+ if n1~=n2
+ if n1==1
+ p1 = repmat(p1, [n2 1]);
+ elseif n2==1
+ p2 = repmat(p2, [n1 1]);
+ else
+ error('Arguments P1 and P2 must have the same size');
+ end
+ end
+ if n1~=n0
+ if n1==1
+ p1 = repmat(p1, [n0 1]);
+ elseif n0==1
+ p0 = repmat(p0, [n1 1]);
+ else
+ error('Arguments P1 and P0 must have the same size');
+ end
+ end
+
+ # normalized vectors
+ p1 = normalizeVector(p1-p0);
+ p2 = normalizeVector(p2-p0);
+
+ # compute angle
+ alpha = acos(dot(p1, p2, 2));
+
+endfunction
Added: trunk/octave-forge/main/geometry/inst/geom3d/angles3d.m
===================================================================
--- trunk/octave-forge/main/geometry/inst/geom3d/angles3d.m (rev 0)
+++ trunk/octave-forge/main/geometry/inst/geom3d/angles3d.m 2012-09-19 21:18:26 UTC (rev 11054)
@@ -0,0 +1,75 @@
+## Copyright (c) 2011, INRA
+## 2004-2011, David Legland <dav...@gr...>
+## 2012 Adapted to Octave by Juan Pablo Carbajal <car...@if...>
+##
+## All rights reserved.
+## (simplified BSD License)
+##
+## 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 COPYRIGHT HOLDER 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.
+##
+## The views and conclusions contained in the software and documentation are
+## those of the authors and should not be interpreted as representing official
+## policies, either expressed or implied, of copyright holder.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} angles3d ()
+##ANGLES3D Conventions for manipulating angles in 3D
+##
+## Contrary to the plane, there are no oriented angles in 3D. Angles
+## between lines or between planes are comprised between 0 and PI.
+##
+## Spherical angles
+## Spherical angles are defined by 2 angles:
+## * THETA, the colatitude, representing angle with Oz axis (between 0 and
+## PI)
+## * PHI, the azimut, representing angle with Ox axis of horizontal
+## projection of the direction (between 0 and 2*PI)
+##
+## Spherical coordinates can be represented by THETA, PHI, and the
+## distance RHO to the origin.
+##
+## Euler angles
+## Some functions for creating rotations use Euler angles. They follow the
+## ZYX convention in the global reference system, that is eqivalent to the
+## XYZ convention ine a local reference system.
+## Euler angles are given by a triplet of angles [PHI THETA PSI] that
+## represents the succession of 3 rotations:
+## * rotation around X by angle PSI ("roll")
+## * rotation around Y by angle THETA ("pitch")
+## * rotation around Z by angle PHI ("yaw")
+##
+## In this library, euler angles are given in degrees. The functions that
+## use euler angles use the keyword 'Euler' in their name.
+##
+##
+## @seealso{cart2sph2, sph2cart2, cart2sph2d, sph2cart2d
+## anglePoints3d, angleSort3d, sphericalAngle, randomAngle3d
+## dihedralAngle, polygon3dNormalAngle, eulerAnglesToRotation3d
+## rotation3dAxisAndAngle, rotation3dToEulerAngles}
+## @end deftypefn
+
+function angles3d()
+
+ help angles3d
+
+endfunction
Added: trunk/octave-forge/main/geometry/inst/geom3d/boxes3d.m
===================================================================
--- trunk/octave-forge/main/geometry/inst/geom3d/boxes3d.m (rev 0)
+++ trunk/octave-forge/main/geometry/inst/geom3d/boxes3d.m 2012-09-19 21:18:26 UTC (rev 11054)
@@ -0,0 +1,57 @@
+## Copyright (c) 2011, INRA
+## 2004-2011, David Legland <dav...@gr...>
+## 2012 Adapted to Octave by Juan Pablo Carbajal <car...@if...>
+##
+## All rights reserved.
+## (simplified BSD License)
+##
+## 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 COPYRIGHT HOLDER 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.
+##
+## The views and conclusions contained in the software and documentation are
+## those of the authors and should not be interpreted as representing official
+## policies, either expressed or implied, of copyright holder.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} boxes3d ()
+## BOXES3D Description of functions operating on 3D boxes
+##
+## A box defined by its coordinate extents:
+## BOX = [XMIN XMAX YMIN YMAX ZMIN ZMAX].
+##
+## Example
+## # Draw a polyhedron together with its bounding box
+## [n e f]= createIcosahedron;
+## drawPolyhedron(n, f);
+## hold on;
+## drawBox3d(point3dBounds(n))
+##
+##
+## @seealso{point3dBounds, box3dVolume, drawBox3d
+## intersectBoxes3d, mergeBoxes3d, randomPointInBox3d}
+## @end deftypefn
+
+function boxes3d()
+
+ help boxes3d
+
+endfunction
Added: trunk/octave-forge/main/geometry/inst/geom3d/circles3d.m
===================================================================
--- trunk/octave-forge/main/geometry/inst/geom3d/circles3d.m (rev 0)
+++ trunk/octave-forge/main/geometry/inst/geom3d/circles3d.m 2012-09-19 21:18:26 UTC (rev 11054)
@@ -0,0 +1,54 @@
+## Copyright (c) 2011, INRA
+## 2004-2011, David Legland <dav...@gr...>
+## 2012 Adapted to Octave by Juan Pablo Carbajal <car...@if...>
+##
+## All rights reserved.
+## (simplified BSD License)
+##
+## 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 COPYRIGHT HOLDER 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.
+##
+## The views and conclusions contained in the software and documentation are
+## those of the authors and should not be interpreted as representing official
+## policies, either expressed or implied, of copyright holder.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} circles3d ()
+##CIRCLES3D Description of functions operating on 3D circles
+##
+## Circles are represented by a center, a radius and a 3D angle
+## representing the normal of the plane containing the circle.
+## C = [xc yc zc R theta phi psi].
+## THETA is the colatitude of the normal, in degrees, between 0 and 180
+## PHI is the azimut of the normal, in degrees, between 0 and 360
+## PSI is the proper rotation of the circle around the normal, between 0
+## and 360 degrees
+## The parameter PSI is used to locate a point on the 3D circle.
+##
+## @seealso{circle3dOrigin, circle3dPosition, circle3dPoint, intersectPlaneSphere
+## drawCircle3d, drawCircleArc3d, drawEllipse3d}
+## @end deftypefn
+function circles3d ()
+
+ help circles3d
+
+endfunction
Added: trunk/octave-forge/main/geometry/inst/geom3d/geom3d_Contents.m
===================================================================
--- trunk/octave-forge/main/geometry/inst/geom3d/geom3d_Contents.m (rev 0)
+++ trunk/octave-forge/main/geometry/inst/geom3d/geom3d_Contents.m 2012-09-19 21:18:26 UTC (rev 11054)
@@ -0,0 +1,237 @@
+## Copyright (c) 2011, INRA
+## 2007-2011, David Legland <dav...@gr...>
+## 2011 Adapted to Octave by Juan Pablo Carbajal <car...@if...>
+##
+## All rights reserved.
+## (simplified BSD License)
+##
+## 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 COPYRIGHT HOLDER 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.
+##
+## The views and conclusions contained in the software and documentation are
+## those of the authors and should not be interpreted as representing official
+## policies, either expressed or implied, of copyright holder.
+
+## -*- texinfo -*-
+## @deftypefn {Function File} geom3d_Contents ()
+## GEOM3D Geometry 3D Toolbox
+## Version 1.0 21-Mar-2011 .
+##
+## Creation, transformations, algorithms and visualization of geometrical
+## 3D primitives, such as points, lines, planes, polyhedra, circles and
+## spheres.
+##
+## Euler Angles are defined as follow:
+## PHI is the azimut, i.e. the angle of the projection on horizontal plane
+## with the Ox axis, with value beween 0 and 180 degrees.
+## THETA is the latitude, i.e. the angle with the Oz axis, with value
+## between -90 and +90 degrees.
+## PSI is the 'roll', i.e. the rotation around the (PHI, THETA) direction,
+## with value in degrees
+## See also the 'angles3d' page.
+##
+## Base format for primitives:
+## Point: [x0 y0 z0]
+## Vector: [dx dy dz]
+## Line: [x0 y0 z0 dx dy dz]
+## Edge: [x1 y1 z1 x2 y2 z2]
+## Plane: [x0 y0 z0 dx1 dy1 dz1 dx2 dy2 dz2]
+## Sphere: [x0 y0 z0 R]
+## Circle: [x0 y0 z0 R PHI THETA PSI] (origin+center+normal+'roll').
+## Cylinder: [X1 Y1 Z1 X2 Y2 Z2 R]
+## Box: [xmin xmax ymin ymax zmin zmax]. Used for clipping shapes.
+##
+## Polygons are represented by N-by-3 array of points, the last point is
+## not necessarily the same as the first one. Points must be coplanar.
+##
+## Meshes and Polyhedra are represented by a couple of variables {V, F}:
+## V: N-by-3 array of vetrtices: [x1 y1 z1; ... ;xn yn zn];
+## F: is either a [Nf*3] or [Nf*4] array containing reference for vertices
+## of each face, or a [Nf*1] cell array, where each cell is an array
+## containing a variable number of node indices.
+## For some functions, the array E of edges is needed. It consists in a
+## Ne-by-2 array containing indices of source and target vertices.
+##
+##
+## 3D Points
+## points3d - Description of functions operating on 3D points
+## midPoint3d - Middle point of two 3D points or of a 3D edge
+## isCoplanar - Tests input points for coplanarity in 3-space.
+## transformPoint3d - Transform a point with a 3D affine transform
+## distancePoints3d - Compute euclidean distance between pairs of 3D Points
+## clipPoints3d - Clip a set of points by a box
+## drawPoint3d - Draw 3D point on the current axis.
+##
+## 3D Vectors
+## vectors3d - Description of functions operating on 3D vectors
+## transformVector3d - Transform a vector with a 3D affine transform
+## normalizeVector3d - Normalize a 3D vector to have norm equal to 1
+## vectorNorm3d - Norm of a 3D vector or of set of 3D vectors
+## vectorAngle3d - Angle between two 3D vectors
+## isParallel3d - Check parallelism of two 3D vectors
+## isPerpendicular3d - Check orthogonality of two 3D vectors
+##
+## Angles
+## angles3d - Conventions for manipulating angles in 3D
+## anglePoints3d - Compute angle between three 3D points
+## sphericalAngle - Compute angle between points on the sphere
+## angleSort3d - Sort 3D coplanar points according to their angles in plane
+## randomAngle3d - Return a 3D angle uniformly distributed on unit sphere
+##
+## Coordinate transforms
+## sph2cart2 - Convert spherical coordinates to cartesian coordinates
+## cart2sph2 - Convert cartesian coordinates to spherical coordinates
+## cart2sph2d - Convert cartesian coordinates to spherical coordinates in degrees
+## sph2cart2d - Convert spherical coordinates to cartesian coordinates in degrees
+## cart2cyl - Convert cartesian to cylindrical coordinates
+## cyl2cart - Convert cylindrical to cartesian coordinates
+##
+## 3D Lines and Edges
+## lines3d - Description of functions operating on 3D lines
+## createLine3d - Create a line with various inputs.
+## transformLine3d - Transform a 3D line with a 3D affine transform
+## clipLine3d - Clip a line with a box and return an edge
+## midPoint3d - Middle point of two 3D points or of a 3D edge
+## distancePointLine3d - Euclidean distance between 3D point and line
+## distanceLines3d - Minimal distance between two 3D lines
+## linePosition3d - Return the position of a 3D point on a 3D line
+## drawEdge3d - Draw 3D edge in the current Window
+## drawLine3d - Draw a 3D line on the current axis
+##
+## Planes
+## planes3d - Description of functions operating on 3D planes
+## createPlane - Create a plane in parametrized form
+## normalizePlane - Normalize parametric representation of a plane
+## intersectPlanes - Return intersection line between 2 planes in space
+## intersectLinePlane - Return intersection point between a plane and a line
+## intersectEdgePlane - Return intersection point between a plane and a edge
+## distancePointPlane - Signed distance betwen 3D point and plane
+## projPointOnPlane - Return the orthogonal projection of a point on a plane
+## isBelowPlane - Test whether a point is below or above a plane
+## medianPlane - Create a plane in the middle of 2 points
+## planeNormal - Compute the normal to a plane
+## planePosition - Compute position of a point on a plane
+## planePoint - Compute 3D position of a point in a plane
+## dihedralAngle - Compute dihedral angle between 2 planes
+## drawPlane3d - Draw a plane clipped in the current window
+##
+## 3D Polygons and curves
+## polygons3d - Description of functions operating on 3D polygons
+## polygonCentroid3d - Centroid (or center of mass) of a polygon
+## triangleArea3d - Area of a 3D triangle
+## polygon3dNormalAngle - Normal angle at a vertex of the 3D polygon
+## intersectLinePolygon3d - Intersection point of a 3D line and a 3D polygon
+## intersectLineTriangle3d - Intersection point of a 3D line and a 3D triangle
+## intersectRayPolygon3d - Intersection point of a 3D ray and a 3D polygon
+## clipConvexPolygon3dHP - Clip a convex 3D polygon with Half-space
+## drawPolygon3d - Draw a 3D polygon specified by a list of vertices
+## drawPolyline3d - Draw a 3D polyline specified by a list of vertices
+## fillPolygon3d - Fill a 3D polygon specified by a list of points
+##
+## 3D circles and ellipses
+## circles3d - Description of functions operating on 3D circles
+## circle3dPosition - Return the angular position of a point on a 3D circle
+## circle3dPoint - Coordinates of a point on a 3D circle from its position
+## circle3dOrigin - Return the first point of a 3D circle
+## drawCircle3d - Draw a 3D circle
+## drawCircleArc3d - Draw a 3D circle arc
+## drawEllipse3d - Draw a 3D ellipse
+##
+## Spheres
+## spheres - Description of functions operating on 3D spheres
+## createSphere - Create a sphere containing 4 points
+## intersectLineSphere - Return intersection points between a line and a sphere
+## intersectPlaneSphere - Return intersection circle between a plane and a sphere
+## drawSphere - Draw a sphere as a mesh
+## drawSphericalTriangle - Draw a triangle on a sphere
+##
+## Smooth surfaces
+## inertiaEllipsoid - Inertia ellipsoid of a set of 3D points
+## intersectLineCylinder - Compute intersection points between a line and a cylinder
+## revolutionSurface - Create a surface of revolution from a planar curve
+## surfaceCurvature - Curvature on a surface from angle and principal curvatures
+## drawEllipsoid - Draw a 3D ellipsoid
+## drawTorus - Draw a torus (3D ring)
+## drawCylinder - Draw a cylinder
+## drawSurfPatch - Draw a 3D surface patch, with 2 parametrized surfaces
+##
+## Bounding boxes management
+## boxes3d - Description of functions operating on 3D boxes
+## point3dBounds - Bounding box of a set of 3D points
+## intersectBoxes3d - Intersection of two 3D bounding boxes
+## mergeBoxes3d - Merge 3D boxes, by computing their greatest extent
+## box3dVolume - Volume of a 3-dimensional box
+## randomPointInBox3d - Generate random point(s) within a 3D box
+## drawBox3d - Draw a 3D box defined by coordinate extents
+##
+## Geometric transforms
+## transforms3d - Conventions for manipulating 3D affine transforms
+## createTranslation3d - Create the 4x4 matrix of a 3D translation
+## createScaling3d - Create the 4x4 matrix of a 3D scaling
+## createRotationOx - Create the 4x4 matrix of a 3D rotation around x-axis
+## createRotationOy - Create the 4x4 matrix of a 3D rotation around y-axis
+## createRotationOz - Create the 4x4 matrix of a 3D rotation around z-axis
+## createBasisTransform3d - Compute matrix for transforming a basis into another basis
+## eulerAnglesToRotation3d - Convert 3D Euler angles to 3D rotation matrix
+## rotation3dToEulerAngles - Extract Euler angles from a rotation matrix
+## createRotation3dLineAngle - Create rotation around a line by an angle theta
+## rotation3dAxisAndAngle - Determine axis and angle of a 3D rotation matrix
+## recenterTransform3d - Change the fixed point of an affine 3D transform
+## composeTransforms3d - Concatenate several space transformations
+##
+## Various drawing Functions
+## drawGrid3d - Draw a 3D grid on the current axis
+## drawAxis3d - Draw a coordinate system and an origin
+## drawAxisCube - Draw a colored cube representing axis orientation
+## drawCube - Draw a 3D centered cube, eventually rotated
+## drawCuboid - Draw a 3D cuboid, eventually rotated
+##
+##
+## Credits:
+## * function isCoplanar was originally written by Brett Shoelson.
+## * Songbai Ji enhanced file intersectPlaneLine (6/23/2006).
+##
+## @end deftypefn
+
+function geom3d_Contents ()
+
+ help('geom3d_Contents');
+
+ ## In development:
+ ## clipPolygon3dHP - clip a 3D polygon with Half-space
+ ## drawPartialPatch - draw surface patch, with 2 parametrized surfaces
+
+
+ ## Deprecated:
+ ## intersectPlaneLine - return intersection between a plane and a line
+ ## translation3d - return 4x4 matrix of a 3D translation
+ ## scale3d - return 4x4 matrix of a 3D scaling
+ ## rotationOx - return 4x4 matrix of a rotation around x-axis
+ ## rotationOy - return 4x4 matrix of a rotation around y-axis
+ ## rotationOz - return 4x4 matrix of a rotation around z-axis
+ ## scaling3d - return 4x4 matrix of a 3D scaling
+ ## vecnorm3d - compute norm of vector or of set of 3D vectors
+ ## normalize3d - normalize a 3D vector
+ ## drawCurve3d - draw a 3D curve specified by a list of points
+ ## createEulerAnglesRotation - Create a rotation matrix from 3 euler angles
+
+endfunction
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