Geometric Primitives and Geomtric Operations with Matlab
Matlab does not come by default with a geometric primitives library. About for some simple function like the “sphere” command, using some geometric entities may be an issue. Fortunately on Matlab file exchange are available these two packages, from David Legland ,that help us to develop geometric projects.
- Geom2D Download Now
- Geom3D Download Now
The packages include functions for computations on planar and spatial geometrical shapes (points, lines, circles, 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.
- derive new shapes: intersection between 2 lines, between a line and a circle, parallel and perpendicular lines
Functions to compute intersections - 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 transformation. 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.
- functions for 3D polygons and polyhedra. Polyhedra use classical vertex-faces arrays (face array contain indices of vertices), and support faces with any number of vertices. Some basic models are provided (createOctaedron, createCubeoctaedron…), as well as some computation (like faceNormal or centroid)
- direct drawing of shapes with specialized functions. Clipping is performed automatically for unbounded shapes such as lines or rays. Ex:
drawPoint3d([50 50 25; 20 70 10], ‘ro’); % draw some points
drawLine3d([X0 Y0 Z0 DX DY DZ]); % clip and draw straight line
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