Geometry library to handle and visualize geometric primitives such as points, lines, circles and ellipses, polylines and polygons...
The goal is to provide a low-level library for manipulating geometrical primitives, making easier the development of more complex geometric algorithms.
The library proposes functions to:
* create various shapes (points, circles, lines, ellipses, polylines, polygons) using an intuitive syntax. Ex: createCircle(p1, p2, p3) to create a circle through 3 points, create parallel and perpendicular lines
* compute intersections between 2 lines, between a line and a circle
* work on polylines and polygons: compute centroid and area, expand, clip with half-plane...
* measure distances (between points, a point and a line, a point and a group of points), angle (of a line, between 3 points), or test geometry (point on a line, on a circle).
* manipulate planar transformations. Ex: P2 = transformPoint(P1, createRotation(CENTER, THETA));
* draw shapes easily. Ex: drawCircle([50 50], 25), drawLine([X0 Y0 DX DY]). Some clipping is performed for infinite shapes such as lines or rays.
Additional help is provided in geom/Contents.m file, as well as summary files like 'points2d.m' or 'lines2d.m'.
Note: the project has merged with the geom3d library (FeX 24484), and is now hosted on GitHub: https://github.com/mattools/matGeom
David Legland (2023). geom2d (https://www.mathworks.com/matlabcentral/fileexchange/7844-geom2d), MATLAB Central File Exchange. Retrieved .
MATLAB Release Compatibility
Platform CompatibilityWindows macOS Linux
Inspired: Split Line Segments (Edges), Geometric and Topological Methods for Significance Testing in Wavelet Analysis, Cumulative Areawise Testing in Wavelet Analysis, Chord Length Distribution from Binary 2D Images, image ellipsoid 3D, imMinkowski, Generate random line segments without intersecting
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renamed inertiaEllipse into equivalentEllipse, added principalAxes, various bug fixes.
new functions for polygons: polygonInertiaEllipse.m, polygonSecondAreaMoments.m, boxToPolygon ; also improves numerical precision of some functions.
update project link
* added new functions: randomPointInPolygon, resamplePolygonByLength, polygonEdges
various updates in header docs
remove license statements
add missing utility directory, update description
update computation of polygon/polyline self-intersections, add registerICP for Iterative Closest Point registration, add some functions (polygonSymmetryAxis, signatureToPolygon).
update medialAxisConvex, add smoothPolygon, smoothPolyline, findClosestPoint functions
fix several bugs (clipEdge, removeMultipleVertices...), various doc update, add some demos for polynomial curves
various code cleanup and doc updates
lot of code cleanup, new functions for working with polygons, clean up drawing functions
fixed bugs in intersectLineCircle, added minimumCaliperDiameter and averagePointSet of a set of points. Now uses degrees for representing shapes
split library in several packages, add several functions (circle and circle-line intersections, computation of inertia ellipse)
fix bugs (intersectLines, isPointOnEdge), remove obsolete licence considerations
bug fixes (isPointOnEdge, intersectPolylines), remove obsolete licence info