MATLAB设计_3D形状的几何计算库.zip

Description of the geom3d library. The aim of geom3d library is to handle and visualize 3D geometric primitives such as points, lines, planes, polyhedra... It provides low-level functions for manipulating 3D geometric primitives, making easier the development of more complex geometric algorithms. Some features of the library are: - creation of various shapes (3D points, 3D lines, planes, polyhedra...) through an intuitive syntax. Ex: createPlane(p1, p2, p3) to create a plane through 3 points. - derivation of new shapes: intersection between 2 planes, intersection between a plane and a line, between a sphere and a line... - 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) - manipulation of planar transformation. Ex.: ROT = createRotationOx(THETA); P2 = transformPoint3d(P1, ROT); - direct drawing of shapes with specialized functions. Clipping is performed automatically for infinite 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 Some functions require the geom2d package. Additional help is provided in geom3d/Contents.m file, as well as summary files like 'points3d.m' or 'lines3d.m'.