geom3d: planes3d(varargin) - File Exchange

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
View all files

from geom3d by David Legland
Library to handle 3D geometric primitives: create, intersect, display, and make basic computations

planes3d(varargin)

function planes3d(varargin)
%PLANES3D Description of functions operating on 3D planes
%
%   Planes are represented by a 3D point (the plane origin) and 2 direction
%   vectors, which should not be colinear.
%   PLANE = [X0 Y0 Z0 DX1 DY1 DZ1 DX2 DY2 DZ2];
%
%   See also
%   createPlane, normalizePlane, medianPlane, planeNormal, dihedralAngle
%   distancePointPlane, projPointOnPlane, planePosition, isBelowPlane
%   intersectPlanes, intersectLinePlane, intersectEdgePlane
%   polyhedronSlice,  clipConvexPolyhedronHP
%   drawPlane3d
%
% ------
% Author: David Legland
% e-mail: david.legland@grignon.inra.fr
% Created: 2008-10-13,    using Matlab 7.4.0.287 (R2007a)
% Copyright 2008 INRA - BIA PV Nantes - MIAJ Jouy-en-Josas.

help('planes3d');

Highlights from geom3d

Highlights from
geom3d