 Contents | GEOM3D Geometry 3D Toolbox |
| anglePoints3d | ANGLEPOINTS3D compute angle between 2 3D points |
| angleSort3d | ANGLESORT3D sort 3D coplanar points according to their angles in plane |
| angles3d | ANGLES3D conventions for manipulating angles in 3D |
| cart2cyl | CART2CYL Convert cartesian to cylindrical coordinates |
| cart2sph2 | CART2SPH2 convert cartesian 2 spherical coordinate |
| circle3dOrigin | CIRCLE3DORIGIN return the first point of a 3D circle |
| circle3dPosition | CIRCLE3DPOSITION return the angular position of a point on a 3D circle |
| circles3d | CIRCLES3D description of functions operating on 3D lines |
| clipConvexPolygon3dHP | CLIPCONVEXPOLYGON3DHP clip a convex 3D polygon with Half-space |
| clipConvexPolyhedronHP | CLIPCONVEXPOLYHEDRONHP clip a convex polyhedron by a plane |
| clipLine3d | CLIPLINE3D clip a line with a box and return an edge |
| clipPoints3d | CLIPPOINTS3D clip a set of points by a box |
| clipPolygon3dHP | CLIPPOLYGON3DHP clip a 3D polygon with Half-space |
| composeTransforms3d | COMPOSETRANSFORMS3D concatenate several space transformations |
| createCube | CREATECUBE create a 3D cube |
| createCubeOctahedron | CREATECUBEOCTAHEDRON create a cube-octahedron |
| createIcosahedron | CREATEICOSAHEDRON create an Icosahedron. |
| createLine3d | CREATELINE3D create a line with various inputs. |
| createMengerSponge | CREATEMENGERSPONGE create a cube with an inside cross removed |
| createOctahedron | CREATEOCTAHEDRON create an octahedron |
| createPlane | CREATEPLANE create a plane in parametrized form |
| createRhombododecahedron | CREATERHOMBODODECAHEDRON create a 3D rhombododecahedron |
| createRotationOx | CREATEROTATIONOX return 4x4 matrix of a rotation around x-axis |
| createRotationOy | CREATEROTATIONOY return 4x4 matrix of a rotation around y-axis |
| createRotationOz | CREATEROTATIONOZ return 4x4 matrix of a rotation around z-axis |
| createScaling3d | createScaling3d return 4x4 matrix of a 3D scaling |
| createSoccerBall | CREATESOCCERBALL return a soccerball as a polyhedra |
| createSphere | CREATESPHERE create a sphere containing 4 points |
| createTetrahedron | CREATETETRAHEDRON create a tetrahedron with 4 vertices and faces |
| createTetrakaidecahedron | CREATETETRAKAIDECAHEDRON create a tetrakaidecahedron |
| createTranslation3d | CREATETRANSLATION3D return 4x4 matrix of a 3D translation |
| cyl2cart | CYL2CART Convert cylindrical to cartesian coordinates |
| dihedralAngle | DIHEDRALANGLE compute dihedral angle between 2 planes |
| distancePointLine3d | DISTANCEPOINTLINE3D compute euclidean distance between 3D point and line |
| distancePointPlane | DISTANCEPOINTPLANE compute euclidean distance betwen 3D point and plane |
| distancePoints3d | DISTANCEPOINTS3D compute euclidean distance between 3D Points |
| drawAxis3d | DRAWAXIS3D draw a coordinate system and an origin |
| drawCircle3d | DRAWCIRCLE3D draw a 3D circle |
| drawCircleArc3d | DRAWCIRCLEARC3D draw a 3D circle arc |
| drawCurve3d | DRAWCURVE3D draw a 3D curve specified by a list of points |
| drawCylinder | DRAWCYLINDER draw a cylinder |
| drawEdge3d | DRAWEDGE3D draw the edge in the current Window |
| drawEllipse3d | DRAWELLIPSE3D draw a 3D ellipse |
| drawGrid3d | DRAWGRID3D draw a grid in 3 dimensions |
| drawLine3d | DRAWLINE3D draw the line in the current Window |
| drawPartialPatch | drawSurfPatch : draw surface patch, with 2 parametrized surfaces |
| drawPlane3d | DRAWPLANE3D draw a plane clipped in the current window |
| drawPoint3d | DRAWPOINT3D draw 3D point on the current axis. |
| drawPolyhedra | DRAWPOLYHEDRA draw polyhedra defined by vertices and faces |
| drawPolyhedron | DRAWPOLYHEDRON draw polyhedron defined by vertices and faces |
| drawSphere | DRAWSPHERE draw a sphere as a mesh |
| drawSphericalTriangle | DRAWSPHERICALTRIANGLE draw a triangle on a sphere |
| drawSurfPatch | DRAWSURFPATCH draw surface patch, with 2 parametrized surfaces |
| faceCentroids | FACECENTROIDS compute centoids of faces of a polyhedron |
| faceNormal | FACENORMAL compute normal vector of a polyhedron face |
| fillPolygon3d | FILLPOLYGON3D fill a 3D polygon specified by a list of points |
| intersectEdgePlane | INTERSECTEDGEPLANE return intersection between a plane and a edge |
| intersectLineCylinder | INTERSECTLINECYLINDER compute intersection between a line and a cylinder |
| intersectLinePlane | INTERSECTLINEPLANE return intersection between a plane and a line |
| intersectLineSphere | INTERSECTLINESPHERE return intersection between a line and a sphere |
| intersectPlaneLine | INTERSECTPLANELINE return intersection between a plane and a line |
| intersectPlaneSphere | INTERSECTPLANESPHERE return intersection between a plane and a sphere |
| intersectPlanes | INTERSECTPLANES return intersection between 2 planes in space |
| isBelowPlane | ISBELOWPLANE test whether a point is below or above a plane |
| isCoplanar | ISCOPLANAR Tests input points for coplanarity in 3-space. |
| isParallel3d | ISPARALLEL3D check parallelism of two vectors |
| isPerpendicular3d | ISPERPENDICULAR3D check orthogonality of two vectors |
| linePosition3d | LINEPOSITION3D return position of a 3D point on a 3D line |
| lines3d | LINES3D description of functions operating on 3D lines |
| localToGlobal3d | LOCALTOGLOBAL3D create transform from a vector and 3 rotation angles |
| medianPlane | MEDIANPLANE create a plane in the middle of 2 points |
| meshReduce | MESHREDUCE return mesh with minimal number of faces |
| minConvexHull | MINCONVEXHULL return the unique minimal convex hull in 3D |
| normalize3d | NORMALIZE3D normalize a 3D vector |
| normalizePlane | NORMALIZEPLANE normalize parametric form of a plane |
| normalizeVector3d | NORMALIZEVECTOR3D normalize a 3D vector |
| planeNormal | PLANENORMAL compute the normal to a plane |
| planePoint | PLANEPOINT compute 3D position of a point in a plane |
| planePosition | PLANEPOSITION compute position of a point on a plane |
| planes3d | PLANES3D description of functions operating on 3D planes |
| points3d | POINTS3D description of functions operating on 3D points |
| polygon3dNormalAngle | POLYGON3DNORMALANGLE compute normal angle at a vertex of the 3D polygon |
| polygonCentroid3d | POLYGONCENTROID3D compute centroid (center of mass) of a polygon |
| polygons3d | POLYGONS3D description of functions operating on 3D polygons |
| polyhedra | POLYHEDRA description of functions operating on 3D polyhedra |
| polyhedronNormalAngle | POLYHEDRONNORMALANGLE compute normal angle at a vertex of a 3D polyhedron |
| polyhedronSlice | POLYHEDRONSLICE intersect a convex polyhedron with a plane. |
| projPointOnPlane | PROJPOINTONPLANE return the projection of a point on a plane |
| randomAngle3d | RANDOMANGLE3D return a 3D angle uniformly distributed on unit sphere |
| revolutionSurface | REVOLUTIONSURFACE create a surface of revolution from a planar curve |
| rotationOx | ROTATIONOX return 4x4 matrix of a rotation around x-axis |
| rotationOy | ROTATIONOY return 4x4 matrix of a rotation around y-axis |
| rotationOz | ROTATIONOZ return 4x4 matrix of a rotation around z-axis |
| scale3d | SCALE3D return 4x4 matrix of a 3D scaling |
| scaling3d | SCALING3D return 4x4 matrix of a 3D scaling |
| sph2cart2 | SPH2CART2 convert spherical coordinate to cartesian coordinate |
| spheres | SPHERES description of functions operating on 3D spheres |
| sphericalAngle | SPHERICALANGLE compute angle on the sphere |
| steinerPolytope | STEINERPOLYTOPE Create a steiner polytope from a set of vectors |
| surfaceCurvature | SURFACECURVATURE compute curvature on a surface in a given direction |
| transformLine3d | TRANSFORMLINE3D transform a 3D line with a 3D affine transform |
| transformPoint3d | TRANSFORMPOINT3D transform a point with a 3D affine transform |
| transformVector3d | TRANSFORMVECTOR3D transform a vector with a 3D affine transform |
| transforms3d | TRANSFORMS3D Conventions for manipulating 3D affine transforms |
| translation3d | TRANSLATION3D return 4x4 matrix of a 3D translation |
| triangulateFaces | TRIANGULATEFACES convert face array to an array of triangular faces |
| vecnorm3d | VECNORM3D compute norm of vector or of set of 3D vectors |
| vectorNorm3d | VECTORNORM3D compute norm of vector or of set of 3D vectors |
| vectors3d | VECTORS3D description of functions operating on 3D vectors |
Master index