--- /dev/null
+%% Copyright (c) 2011, INRA
+%% 2007-2011, David Legland <david.legland@grignon.inra.fr>
+%% 2011 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
+%%
+%% 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} geom2d_Contents ()
+%% Geometry 2D Toolbox
+%% Version 1.2.0 21-Oct-2011 .
+%%
+%% Library to handle and visualize geometric primitives such as points,
+%% lines, circles and ellipses, polygons...
+%%
+%% The goal is to provide a low-level library for manipulating geometrical
+%% primitives, making easier the development of more complex geometric
+%% algorithms.
+%%
+%% Most functions works for planar shapes, but some ones have been
+%% extended to 3D or to any dimension.
+%%
+%% Points
+%% points2d - Description of functions operating on points
+%% clipPoints - Clip a set of points by a box
+%% centroid - Compute centroid (center of mass) of a set of points
+%% midPoint - Middle point of two points or of an edge
+%% isCounterClockwise - Compute relative orientation of 3 points
+%% polarPoint - Create a point from polar coordinates (rho + theta)
+%% angle2Points - Compute horizontal angle between 2 points
+%% angle3Points - Compute oriented angle made by 3 points
+%% angleSort - Sort points in the plane according to their angle to origin
+%% distancePoints - Compute distance between two points
+%% minDistancePoints - Minimal distance between several points
+%% transformPoint - Transform a point with an affine transform
+%% drawPoint - Draw the point on the axis.
+%%
+%% Vectors
+%% vectors2d - Description of functions operating on plane vectors
+%% createVector - Create a vector from two points
+%% vectorNorm - Compute norm of a vector, or of a set of vectors
+%% vectorAngle - Angle of a vector, or between 2 vectors
+%% normalizeVector - Normalize a vector to have norm equal to 1
+%% isPerpendicular - Check orthogonality of two vectors
+%% isParallel - Check parallelism of two vectors
+%% transformVector - Transform a vector with an affine transform
+%% rotateVector - Rotate a vector by a given angle
+%%
+%% Straight lines
+%% lines2d - Description of functions operating on planar lines
+%% createLine - Create a straight line from 2 points, or from other inputs
+%% medianLine - Create a median line between two points
+%% cartesianLine - Create a straight line from cartesian equation coefficients
+%% orthogonalLine - Create a line orthogonal to another one.
+%% parallelLine - Create a line parallel to another one.
+%% intersectLines - Return all intersection points of N lines in 2D
+%% lineAngle - Computes angle between two straight lines
+%% linePosition - Position of a point on a line
+%% lineFit - Fit a straight line to a set of points
+%% clipLine - Clip a line with a box
+%% reverseLine - Return same line but with opposite orientation
+%% transformLine - Transform a line with an affine transform
+%% drawLine - Draw the line on the current axis
+%%
+%% Edges (line segments between 2 points)
+%% edges2d - Description of functions operating on planar edges
+%% createEdge - Create an edge between two points, or from a line
+%% edgeToLine - Convert an edge to a straight line
+%% edgeAngle - Return angle of edge
+%% edgeLength - Return length of an edge
+%% midPoint - Middle point of two points or of an edge
+%% edgePosition - Return position of a point on an edge
+%% clipEdge - Clip an edge with a rectangular box
+%% reverseEdge - Intervert the source and target vertices of edge
+%% intersectEdges - Return all intersections between two set of edges
+%% intersectLineEdge - Return intersection between a line and an edge
+%% transformEdge - Transform an edge with an affine transform
+%% drawEdge - Draw an edge given by 2 points
+%% drawCenteredEdge - Draw an edge centered on a point
+%%
+%% Rays
+%% rays2d - Description of functions operating on planar rays
+%% createRay - Create a ray (half-line), from various inputs
+%% bisector - Return the bisector of two lines, or 3 points
+%% clipRay - Clip a ray with a box
+%% drawRay - Draw a ray on the current axis
+%%
+%% Relations between points and lines
+%% distancePointEdge - Minimum distance between a point and an edge
+%% distancePointLine - Minimum distance between a point and a line
+%% projPointOnLine - Project of a point orthogonally onto a line
+%% pointOnLine - Create a point on a line at a given position on the line
+%% isPointOnLine - Test if a point belongs to a line
+%% isPointOnEdge - Test if a point belongs to an edge
+%% isPointOnRay - Test if a point belongs to a ray
+%% isLeftOriented - Test if a point is on the left side of a line
+%%
+%% Circles
+%% circles2d - Description of functions operating on circles
+%% createCircle - Create a circle from 2 or 3 points
+%% createDirectedCircle - Create a directed circle
+%% intersectCircles - Intersection points of two circles
+%% intersectLineCircle - Intersection point(s) of a line and a circle
+%% circleAsPolygon - Convert a circle into a series of points
+%% circleArcAsCurve - Convert a circle arc into a series of points
+%% isPointInCircle - Test if a point is located inside a given circle
+%% isPointOnCircle - Test if a point is located on a given circle.
+%% enclosingCircle - Find the minimum circle enclosing a set of points.
+%% radicalAxis - Compute the radical axis (or radical line) of 2 circles
+%% drawCircle - Draw a circle on the current axis
+%% drawCircleArc - Draw a circle arc on the current axis
+%%
+%% Ellipses
+%% ellipses2d - Description of functions operating on ellipses
+%% inertiaEllipse - Inertia ellipse of a set of points
+%% isPointInEllipse - Check if a point is located inside a given ellipse
+%% ellipseAsPolygon - Convert an ellipse into a series of points
+%% drawEllipse - Draw an ellipse on the current axis
+%% drawEllipseArc - Draw an ellipse arc on the current axis
+%%
+%% Geometric transforms
+%% transforms2d - Description of functions operating on transforms
+%% createTranslation - Create the 3*3 matrix of a translation
+%% createRotation - Create the 3*3 matrix of a rotation
+%% createScaling - Create the 3*3 matrix of a scaling in 2 dimensions
+%% createHomothecy - Create the the 3x3 matrix of an homothetic transform
+%% createBasisTransform - Compute matrix for transforming a basis into another basis
+%% createLineReflection - Create the the 3x3 matrix of a line reflection
+%% fitAffineTransform2d - Fit an affine transform using two point sets
+%%
+%% Angles
+%% angles2d - Description of functions for manipulating angles
+%% normalizeAngle - Normalize an angle value within a 2*PI interval
+%% angleAbsDiff - Absolute difference between two angles
+%% angleDiff - Difference between two angles
+%% deg2rad - Convert angle from degrees to radians
+%% rad2deg - Convert angle from radians to degrees
+%%
+%% Boxes
+%% boxes2d - Description of functions operating on bounding boxes
+%% intersectBoxes - Intersection of two bounding boxes
+%% mergeBoxes - Merge two boxes, by computing their greatest extent
+%% randomPointInBox - Generate random point within a box
+%% drawBox - Draw a box defined by coordinate extents
+%%
+%% Various drawing functions
+%% drawBezierCurve - Draw a cubic bezier curve defined by 4 control points
+%% drawParabola - Draw a parabola on the current axis
+%% drawOrientedBox - Draw centered oriented rectangle
+%% drawRect - Draw rectangle on the current axis
+%% drawArrow - Draw an arrow on the current axis
+%% drawLabels - Draw labels at specified positions
+%% drawShape - Draw various types of shapes (circles, polygons...)
+%%
+%% Other shapes
+%% squareGrid - Generate equally spaces points in plane.
+%% hexagonalGrid - Generate hexagonal grid of points in the plane.
+%% triangleGrid - Generate triangular grid of points in the plane.
+%% crackPattern - Create a (bounded) crack pattern tessellation
+%% crackPattern2 - Create a (bounded) crack pattern tessellation
+%%
+%%
+%% Credits:
+%% * function 'enclosingCircle' rewritten from a file from Yazan Ahed
+%% , available on Matlab File Exchange
+%%
+%% @end deftypefn
+
+function geom2d_Contents ()
+
+ help('geom2d_Contents');
+
+ %% Deprecated functions
+
+ % createMedian - create a median line
+ % minDistance - compute minimum distance between a point and a set of points
+ % homothecy - create a homothecy as an affine transform
+ % rotation - return 3*3 matrix of a rotation
+ % translation - return 3*3 matrix of a translation
+ % scaling - return 3*3 matrix of a scaling in 2 dimensions
+ % lineSymmetry - create line symmetry as 2D affine transform
+ % vecnorm - compute norm of vector or of set of vectors
+ % normalize - normalize a vector
+ % onCircle - test if a point is located on a given circle.
+ % inCircle - test if a point is located inside a given circle.
+ % onEdge - test if a point belongs to an edge
+ % onLine - test if a point belongs to a line
+ % onRay - test if a point belongs to a ray
+ % invertLine - return same line but with opposite orientation
+ % clipLineRect - clip a line with a polygon
+ % formatAngle - Ensure an angle value is comprised between 0 and 2*PI
+
+
+ %% Others...
+ % drawRect2 - Draw centered rectangle on the current axis
+
+endfunction
git://git.creatis.insa-lyon.fr / CreaPhase.git / blobdiff