Code covered by the BSD License  

Highlights from
geom3d

• demoGeom3d
• demoInertiaEllipsoid
• demoPolyhedra
• demoRevolutionSurface
• demoTriangulateFaces
• demoVoronoiCell
• drawSoccerBall
• anglePoints3d(varargin) ANGLEPOINTS3D Compute angle between three 3D points
• angleSort3d(pts, varargin) ANGLESORT3D Sort 3D coplanar points according to their angles in plane
• angles3d(varargin) ANGLES3D Conventions for manipulating angles in 3D
• boundingBox3d(points) BOUNDINGBOX3D Bounding box of a set of 3D points
• box3dVolume(box) BOX3DVOLUME Volume of a 3-dimensional box
• boxes3d(varargin) BOXES3D Description of functions operating on 3D boxes
• cart2cyl(varargin) CART2CYL Convert cartesian to cylindrical coordinates
• cart2sph2(varargin) CART2SPH2 Convert cartesian coordinates to spherical coordinates
• cart2sph2d(x, y, z) CART2SPH2D Convert cartesian coordinates to spherical coordinates in degrees
• checkMeshAdjacentFaces(vertic... CHECKMESHADJACENTFACES Check if adjacent faces of a mesh have similar orientation
• circle3dOrigin(varargin) CIRCLE3DORIGIN Return the first point of a 3D circle
• circle3dPoint(circle, pos) CIRCLE3DPOINT Coordinates of a point on a 3D circle from its position
• circle3dPosition(point, circl... CIRCLE3DPOSITION Return the angular position of a point on a 3D circle
• circles3d(varargin) CIRCLES3D Description of functions operating on 3D circles
• clipConvexPolygon3dHP(poly, p... CLIPCONVEXPOLYGON3DHP Clip a convex 3D polygon with Half-space
• clipConvexPolyhedronHP(nodes,... CLIPCONVEXPOLYHEDRONHP Clip a convex polyhedron by a plane
• clipLine3d(line, box) CLIPLINE3D Clip a line with a box and return an edge
• clipMeshVertices(vertices, fa... CLIPMESHVERTICES Clip vertices of a surfacic mesh and remove outer faces
• clipPoints3d(points, box) CLIPPOINTS3D Clip a set of points by a box
• clipPolygon3dHP(poly, plane) CLIPPOLYGON3DHP clip a 3D polygon with Half-space
• composeTransforms3d(varargin) COMPOSETRANSFORMS3D Concatenate several space transformations
• computeMeshEdges(faces) COMPUTEMESHEDGES Computes edges array from face array
• createBasisTransform3d(source... CREATEBASISTRANSFORM3D Compute matrix for transforming a basis into another basis
• createCube() CREATECUBE Create a 3D mesh representing the unit cube
• createCubeOctahedron() CREATECUBEOCTAHEDRON Create a 3D mesh representing a cube-octahedron
• createDodecahedron() CREATEDODECAHEDRON Create a 3D mesh representing a dodecahedron
• createEulerAnglesRotation.m
• createIcosahedron() CREATEICOSAHEDRON Create a 3D mesh representing an Icosahedron.
• createLine3d(varargin) CREATELINE3D Create a line with various inputs.
• createMengerSponge() CREATEMENGERSPONGE Create a cube with an inside cross removed
• createOctahedron.m
• createPlane(varargin) CREATEPLANE Create a plane in parametrized form
• createRhombododecahedron() CREATERHOMBODODECAHEDRON Create a 3D mesh representing a rhombododecahedron
• createRotation3dLineAngle(lin... CREATEROTATION3DLINEANGLE Create rotation around a line by an angle theta
• createRotationOx(varargin) CREATEROTATIONOX Create the 4x4 matrix of a 3D rotation around x-axis
• createRotationOy(varargin) CREATEROTATIONOY Create the 4x4 matrix of a 3D rotation around y-axis
• createRotationOz(varargin) CREATEROTATIONOZ Create the 4x4 matrix of a 3D rotation around z-axis
• createScaling3d(varargin) CREATESCALING3D Create the 4x4 matrix of a 3D scaling
• createSoccerBall() CREATESOCCERBALL Create a 3D mesh representing a soccer ball
• createSphere(varargin) CREATESPHERE Create a sphere containing 4 points
• createTetrahedron() CREATETETRAHEDRON Create a 3D mesh representing a tetrahedron
• createTetrakaidecahedron() CREATETETRAKAIDECAHEDRON Create a 3D mesh representing a tetrakaidecahedron
• createTranslation3d(varargin) CREATETRANSLATION3D Create the 4x4 matrix of a 3D translation
• cyl2cart(varargin) CYL2CART Convert cylindrical to cartesian coordinates
• dihedralAngle(plane1, plane2) DIHEDRALANGLE Compute dihedral angle between 2 planes
• distanceLines3d(line1, line2) DISTANCELINES3D Minimal distance between two 3D lines
• distancePointEdge3d(point, ed... DISTANCEPOINTEDGE3D Minimum distance between a 3D point and a 3D edge
• distancePointLine3d(point, li... DISTANCEPOINTLINE3D Euclidean distance between 3D point and line
• distancePointPlane(point, pla... DISTANCEPOINTPLANE Signed distance betwen 3D point and plane
• distancePoints3d(p1, p2, vara... DISTANCEPOINTS3D Compute euclidean distance between pairs of 3D Points
• drawAxis3d(varargin) DRAWAXIS3D Draw a coordinate system and an origin
• drawAxisCube(varargin) DRAWAXISCUBE Draw a colored cube representing axis orientation
• drawBox3d(box, varargin) DRAWBOX3D Draw a 3D box defined by coordinate extents
• drawCircle3d.m
• drawCircleArc3d(arc, varargin... DRAWCIRCLEARC3D Draw a 3D circle arc
• drawCube(cube, varargin) DRAWCUBE Draw a 3D centered cube, eventually rotated
• drawCuboid(cuboid, varargin) DRAWCUBOID Draw a 3D cuboid, eventually rotated
• drawCurve3d(varargin) DRAWCURVE3D draw a 3D curve specified by a list of points
• drawCylinder(cyl, varargin) DRAWCYLINDER Draw a cylinder
• drawEdge3d(varargin) DRAWEDGE3D Draw 3D edge in the current Window
• drawEllipse3d(varargin) DRAWELLIPSE3D Draw a 3D ellipse
• drawEllipsoid(varargin) DRAWELLIPSOID Draw a 3D ellipsoid
• drawFaceNormals(varargin) DRAWFACENORMALS Draw normal vector of each face in a mesh
• drawGrid3d(varargin) DRAWGRID3D Draw a 3D grid on the current axis
• drawLine3d(lin, varargin) DRAWLINE3D Draw a 3D line on the current axis
• drawMesh(vertices, faces, var... DRAWMESH Draw a 3D mesh defined by vertices and faces
• drawPartialPatch(u, v, z, var... DRAWPARTIALPATCH draw surface patch, with 2 parametrized surfaces
• drawPlane3d(plane, varargin) DRAWPLANE3D Draw a plane clipped in the current window
• drawPoint3d(varargin) DRAWPOINT3D Draw 3D point on the current axis.
• drawPolygon3d(varargin) DRAWPOLYGON3D Draw a 3D polygon specified by a list of vertices
• drawPolyhedra(varargin) DRAWPOLYHEDRA draw polyhedra defined by vertices and faces
• drawPolyhedron(nodes, faces, ... DRAWPOLYHEDRON Draw polyhedron defined by vertices and faces
• drawPolyline3d(varargin) DRAWPOLYLINE3D Draw a 3D polyline specified by a list of vertices
• drawSphere(varargin) DRAWSPHERE Draw a sphere as a mesh
• drawSphericalEdge(sphere, edg... DRAWSPHERICALEDGE Draw an edge on the surface of a sphere
• drawSphericalPolygon(sphere, ... DRAWSPHERICALPOLYGON Draw a spherical polygon
• drawSphericalTriangle(sphere,... DRAWSPHERICALTRIANGLE Draw a triangle on a sphere
• drawSurfPatch(u, v, z, vararg... DRAWSURFPATCH Draw a 3D surface patch, with 2 parametrized surfaces
• drawTorus(torus, varargin) DRAWTORUS Draw a torus (3D ring)
• drawVector3d(pos, vect, varar... DRAWVECTOR3D Draw vector at a given position
• ellipsoidSurfaceArea(elli) ELLIPSOIDSURFACEAREA Approximated surface area of an ellipsoid
• eulerAnglesToRotation3d.m
• faceCentroids(nodes, faces) FACECENTROIDS Compute centroids of a mesh faces
• faceNormal(nodes, faces) FACENORMAL Compute normal vector of faces in a 3D mesh
• fillPolygon3d(varargin) FILLPOLYGON3D Fill a 3D polygon specified by a list of points
• fillSphericalPolygon(sphere, ... FILLSPHERICALPOLYGON Fill a spherical polygon
• fillSphericalTriangle(sphere,... FILLSPHERICALTRIANGLE Fill a triangle on a sphere
• gridmeshToQuadmesh(x, y, vara... GRIDMESHTOQUADMESH Create a quad mesh from a grid mesh
• hypot3(dx, dy, dz) HYPOT3 Diagonal length of a cuboidal 3D box
• inertiaEllipsoid(points) INERTIAELLIPSOID Inertia ellipsoid of a set of 3D points
• intersectBoxes3d(box1, box2) INTERSECTBOXES3D Intersection of two 3D bounding boxes
• intersectEdgePlane(edge, plan... INTERSECTEDGEPLANE Return intersection point between a plane and a edge
• intersectLineCylinder(line, c... INTERSECTLINECYLINDER Compute intersection points between a line and a cylinder
• intersectLineMesh3d(line, ver... INTERSECTLINEMESH3D Intersection points of a 3D line with a mesh
• intersectLinePlane(line, plan... INTERSECTLINEPLANE Intersection point between a 3D line and a plane
• intersectLinePolygon3d(line, ... INTERSECTLINEPOLYGON3D Intersection point of a 3D line and a 3D polygon
• intersectLineSphere(line, sph... INTERSECTLINESPHERE Return intersection points between a line and a sphere
• intersectLineTriangle3d(line,... INTERSECTLINETRIANGLE3D Intersection point of a 3D line and a 3D triangle
• intersectPlaneLine(plane, lin... INTERSECTPLANELINE return intersection between a plane and a line
• intersectPlaneSphere(plane, s... INTERSECTPLANESPHERE Return intersection circle between a plane and a sphere
• intersectPlanes(plane1, plane... INTERSECTPLANES Return intersection line between 2 planes in space
• intersectRayPolygon3d(ray, po... INTERSECTRAYPOLYGON3D Intersection point of a 3D ray and a 3D polygon
• isBelowPlane(point, varargin) ISBELOWPLANE Test whether a point is below or above a plane
• isCoplanar(x,y,z,tolerance) ISCOPLANAR Tests input points for coplanarity in 3-space.
• isParallel3d(v1, v2, varargin) ISPARALLEL3D Check parallelism of two 3D vectors
• isPerpendicular3d(v1, v2, var... ISPERPENDICULAR3D Check orthogonality of two 3D vectors
• linePosition3d(point, line) LINEPOSITION3D Return the position of a 3D point on a 3D line
• lines3d(varargin) LINES3D Description of functions operating on 3D lines
• medianPlane(p1, p2) MEDIANPLANE Create a plane in the middle of 2 points
• mergeBoxes3d(box1, box2) MERGEBOXES3D Merge 3D boxes, by computing their greatest extent
• meshDihedralAngles(vertices, ... MESHDIHEDRALANGLES Dihedral at edges of a polyhedal mesh
• meshEdgeFaces(vertices, edges... MESHEDGEFACES Compute index of faces adjacent to each edge of a mesh
• meshEdgeLength(vertices, edge... MESHEDGELENGTH Lengths of edges of a polygonal or polyhedral mesh
• meshFace(faces, index) MESHFACE Return the vertex indices of a face in a mesh
• meshReduce(nodes, varargin) MESHREDUCE Merge coplanar faces of a polyhedral mesh
• meshSurfaceArea(vertices, edg... MESHSURFACEAREA Surface area of a polyhedral mesh
• midPoint3d(varargin) MIDPOINT3D Middle point of two 3D points or of a 3D edge
• minConvexHull(nodes, varargin) MINCONVEXHULL Return the unique minimal convex hull of a set of 3D points
• normalize3d(v) NORMALIZE3D normalize a 3D vector
• normalizePlane(plane1) NORMALIZEPLANE Normalize parametric representation of a plane
• normalizeVector3d(v) NORMALIZEVECTOR3D Normalize a 3D vector to have norm equal to 1
• planeNormal(plane) PLANENORMAL Compute the normal to a plane
• planePoint(plane, point) PLANEPOINT Compute 3D position of a point in a plane
• planePosition(point, plane) PLANEPOSITION Compute position of a point on a plane
• planes3d(varargin) PLANES3D Description of functions operating on 3D planes
• point3dBounds(points) POINT3DBOUNDS Bounding box of a set of 3D points
• points3d(varargin) POINTS3D Description of functions operating on 3D points
• polygon3dNormalAngle(points, ... POLYGON3DNORMALANGLE Normal angle at a vertex of the 3D polygon
• polygonArea3d(poly, varargin) POLYGONAREA3D Area of a 3D polygon
• polygonCentroid3d(varargin) POLYGONCENTROID3D Centroid (or center of mass) of a polygon
• polygons3d(varargin) POLYGONS3D Description of functions operating on 3D polygons
• polyhedra(varargin) POLYHEDRA Index of classical polyhedral meshes
• polyhedronMeanBreadth(vertice... POLYHEDRONMEANBREADTH Mean breadth of a convex polyhedron
• polyhedronNormalAngle(varargi... POLYHEDRONNORMALANGLE Compute normal angle at a vertex of a 3D polyhedron
• polyhedronSlice(nodes, faces,... POLYHEDRONSLICE Intersect a convex polyhedron with a plane.
• projPointOnPlane(point, plane... PROJPOINTONPLANE Return the orthogonal projection of a point on a plane
• randomAngle3d(varargin) RANDOMANGLE3D Return a 3D angle uniformly distributed on unit sphere
• randomPointInBox3d(box, N, va... RANDOMPOINTINBOX3D Generate random point(s) within a 3D box
• readMesh_off(fileName) READMESH_OFF Read mesh data stord in OFF format
• recenterTransform3d(transfo, ... RECENTERTRANSFORM3D Change the fixed point of an affine 3D transform
• revolutionSurface.m
• rotation3dAxisAndAngle(mat) ROTATION3DAXISANDANGLE Determine axis and angle of a 3D rotation matrix
• rotation3dToEulerAngles(mat) ROTATION3DTOEULERANGLES Extract Euler angles from a rotation matrix
• rotationOx(varargin) ROTATIONOX return 4x4 matrix of a rotation around x-axis
• rotationOy(varargin) ROTATIONOY return 4x4 matrix of a rotation around y-axis
• rotationOz(varargin) ROTATIONOZ return 4x4 matrix of a rotation around z-axis
• scale3d(varargin) SCALE3D return 4x4 matrix of a 3D scaling
• scaling3d(varargin) SCALING3D return 4x4 matrix of a 3D scaling
• sph2cart2(theta, phi, rho) SPH2CART2 Convert spherical coordinates to cartesian coordinates
• sph2cart2d(theta, phi, rho) SPH2CART2D Convert spherical coordinates to cartesian coordinates in degrees
• spheres(varargin) SPHERES Description of functions operating on 3D spheres
• sphericalAngle(p1, p2, p3) SPHERICALANGLE Compute angle between points on the sphere
• sphericalVoronoiDomain(refPoi... SPHERICALVORONOIDOMAIN Compute a spherical voronoi domain
• steinerPolytope(points) STEINERPOLYTOPE Create a steiner polytope from a set of vectors
• surfaceCurvature(kappa1, kapp... SURFACECURVATURE Curvature on a surface from angle and principal curvatures
• transformLine3d(line, trans) TRANSFORMLINE3D Transform a 3D line with a 3D affine transform
• transformPoint3d(varargin) TRANSFORMPOINT3D Transform a point with a 3D affine transform
• transformVector3d(varargin) TRANSFORMVECTOR3D Transform a vector with a 3D affine transform
• transforms3d(varargin) TRANSFORMS3D Conventions for manipulating 3D affine transforms
• translation3d(varargin) TRANSLATION3D return 4x4 matrix of a 3D translation
• triangleArea3d(pt1, pt2, pt3) TRIANGLEAREA3D Area of a 3D triangle
• triangulateFaces(faces) TRIANGULATEFACES Convert face array to an array of triangular faces
• trimeshSurfaceArea(v, e, f) TRIMESHSURFACEAREA Surface area of a triangular mesh
• vecnorm3d(v) VECNORM3D compute norm of vector or of set of 3D vectors
• vectorAngle3d(v1, v2) VECTORANGLE3D Angle between two 3D vectors
• vectorCross3d(a,b) VECTORCROSS3D Vector cross product faster than inbuilt MATLAB cross.
• vectorNorm3d(v) VECTORNORM3D Norm of a 3D vector or of set of 3D vectors
• vectors3d(varargin) VECTORS3D Description of functions operating on 3D vectors
• vertexNormal(vertices, faces) VERTEXNORMAL Compute normals to a mesh vertices
• Contents.m
• Contents.m
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