Index for matGeom\geom3d

Matlab files in this directory:

Contents	GEOM3D Geometry 3D Toolbox
anglePoints3d	ANGLEPOINTS3D Compute angle between three 3D points.
angleSort3d	ANGLESORT3D Sort 3D coplanar points according to their angles in plane.
angles3d	ANGLES3D Conventions for manipulating angles in 3D.
boundingBox3d	BOUNDINGBOX3D Bounding box of a set of 3D points.
box3dVolume	BOX3DVOLUME Volume of a 3-dimensional box.
boxes3d	BOXES3D Description of functions operating on 3D boxes.
cart2cyl	CART2CYL Convert cartesian to cylindrical coordinates.
cart2sph2	CART2SPH2 Convert cartesian coordinates to spherical coordinates.
cart2sph2d	CART2SPH2D Convert cartesian coordinates to spherical coordinates in degrees.
circle3dOrigin	CIRCLE3DORIGIN Return the first point of a 3D circle.
circle3dPoint	CIRCLE3DPOINT Coordinates of a point on a 3D circle from its position.
circle3dPosition	CIRCLE3DPOSITION Return the angular position of a point on a 3D circle.
circles3d	Description of functions operating on 3D circles.
clipConvexPolygon3dHP	CLIPCONVEXPOLYGON3DHP Clip a convex 3D polygon with Half-space.
clipEdge3d	CLIPEDGE3D Clip a 3D edge with a cuboid box.
clipLine3d	CLIPLINE3D Clip a line with a box and return an edge.
clipPlane	Compute the 3D polygon representing a clipped plane.
clipPoints3d	CLIPPOINTS3D Clip a set of points by a box or other 3d shapes.
clipPolygon3dHP	CLIPPOLYGON3DHP clip a 3D polygon with Half-space.
clipRay3d	Clip a 3D ray with a box and return a 3D edge.
composeTransforms3d	COMPOSETRANSFORMS3D Concatenate several space transformations.
createBasisTransform3d	CREATEBASISTRANSFORM3D Compute matrix for transforming a basis into another basis.
createEdge3d	CREATEEDGE3D Create an edge between two 3D points, or from a 3D line.
createLine3d	CREATELINE3D Create a line with various inputs.
createPlane	CREATEPLANE Create a plane in parametrized form.
createRay3d	Create a 3D ray.
createRotation3dLineAngle	CREATEROTATION3DLINEANGLE Create rotation around a line by an angle theta.
createRotationAboutPoint3d	CREATEROTATIONABOUTPOINT3D Rotate about a point using a rotation matrix.
createRotationOx	CREATEROTATIONOX Create the 4x4 matrix of a 3D rotation around x-axis.
createRotationOy	CREATEROTATIONOY Create the 4x4 matrix of a 3D rotation around y-axis.
createRotationOz	CREATEROTATIONOZ Create the 4x4 matrix of a 3D rotation around z-axis.
createRotationVector3d	CREATEROTATIONVECTOR3D Calculates the rotation between two vectors.
createRotationVectorPoint3d	CREATEROTATIONVECTORPOINT3D Calculates the rotation between two vectors.
createScaling3d	CREATESCALING3D Create the 4x4 matrix of a 3D scaling.
createSphere	CREATESPHERE Create a sphere containing 4 points.
createTranslation3d	CREATETRANSLATION3D Create the 4x4 matrix of a 3D translation.
crossProduct3d	CROSSPRODUCT3D Vector cross product faster than inbuilt MATLAB cross.
cyl2cart	CYL2CART Convert cylindrical to cartesian coordinates.
cylinderSurfaceArea	CYLINDERSURFACEAREA Surface area of a cylinder.
dihedralAngle	DIHEDRALANGLE Compute dihedral angle between 2 planes.
distanceLines3d	DISTANCELINES3D Minimal distance between two 3D lines.
distancePointEdge3d	DISTANCEPOINTEDGE3D Minimum distance between a 3D point and a 3D edge.
distancePointLine3d	DISTANCEPOINTLINE3D Euclidean distance between 3D point and line.
distancePointPlane	DISTANCEPOINTPLANE Signed distance betwen 3D point and plane.
distancePointTriangle3d	DISTANCEPOINTTRIANGLE3D Minimum distance between a 3D point and a 3D triangle.
distancePoints3d	DISTANCEPOINTS3D Compute euclidean distance between pairs of 3D Points.
drawAngleBetweenVectors3d	DRAWANGLEBETWEENVECTORS3D Draw an arc between 2 vectors.
drawArrow3d	DRAWARROW3D plot a quiver of 3D arrows.
drawAxis3d	DRAWAXIS3D Draw a coordinate system and an origin.
drawAxisCube	DRAWAXISCUBE Draw a colored cube representing axis orientation.
drawBox3d	Draw a 3D box defined by coordinate extents.
drawCapsule	Draw a capsule.
drawCircle3d	Draw a 3D circle.
drawCircleArc3d	Draw a 3D circle arc.
drawCube	Draw a 3D centered cube, eventually rotated.
drawCuboid	Draw a 3D cuboid, eventually rotated.
drawCylinder	Draw a cylinder.
drawDome	DRAWDOME Draw a dome (half-sphere, semi-sphere) as a mesh.
drawEdge3d	DRAWEDGE3D Draw 3D edge in the current axes.
drawEllipse3d	DRAWELLIPSE3D Draw a 3D ellipse.
drawEllipseCylinder	DRAWELLIPSECYLINDER Draw a cylinder with ellipse cross-section.
drawEllipsoid	DRAWELLIPSOID Draw a 3D ellipsoid.
drawGrid3d	DRAWGRID3D Draw a 3D grid on the current axis.
drawLabels3d	DRAWLABELS3D Draw text labels at specified 3D positions.
drawLine3d	DRAWLINE3D Draw a 3D line clipped by the current axes.
drawPartialPatch	DRAWPARTIALPATCH draw surface patch, with 2 parametrized surfaces.
drawPlane3d	Draw a plane clipped by the current axes.
drawPlatform	DRAWPLATFORM Draw a rectangular platform with a given size.
drawPoint3d	DRAWPOINT3D Draw 3D point on the current axis.
drawPolygon3d	DRAWPOLYGON3D Draw a 3D polygon specified by a list of vertex coords.
drawPolyline3d	DRAWPOLYLINE3D Draw a 3D polyline specified by a list of vertex coords.
drawRay3d	Draw a 3D ray on the current axis.
drawSphere	DRAWSPHERE Draw a sphere as a mesh.
drawSphericalEdge	DRAWSPHERICALEDGE Draw an edge on the surface of a sphere.
drawSphericalPolygon	DRAWSPHERICALPOLYGON Draw a spherical polygon.
drawSphericalTriangle	DRAWSPHERICALTRIANGLE Draw a triangle on a sphere.
drawSurfPatch	DRAWSURFPATCH Draw a 3D surface patch, with 2 parametrized surfaces.
drawTorus	DRAWTORUS Draw a torus (3D ring).
drawVector3d	DRAWVECTOR3D Draw vector at a given position.
edgeLength3d	EDGELENGTH3D Return the length of a 3D edge.
edgeToLine3d	EDGETOLINE3D Convert a 3D edge to a 3D straight line.
edges3d	EDGES3D Description of functions operating on 3D edges.
ellipsoidSurfaceArea	ELLIPSOIDSURFACEAREA Approximated surface area of an ellipsoid.
equivalentEllipsoid	Equivalent ellipsoid of a set of 3D points.
eulerAnglesToRotation3d	EULERANGLESTOROTATION3D Convert 3D Euler angles to 3D rotation matrix.
fillPolygon3d	FILLPOLYGON3D Fill a 3D polygon specified by a list of vertex coords.
fillSphericalPolygon	FILLSPHERICALPOLYGON Fill a spherical polygon.
fillSphericalTriangle	FILLSPHERICALTRIANGLE Fill a triangle on a sphere.
fitAffineTransform3d	Compute the affine transform that best register two 3D point sets.
fitCircle3d	FITCIRCLE3D Fit a 3D circle to a set of points.
fitEllipse3d	FITELLIPSE3D Fit an ellipse to a set of points.
fitLine3d	FITLINE3D Fit a 3D line to a set of points.
fitPlane	FITPLANE Fit a 3D plane to a set of points.
fitSphere	FITSPHERE Fit a sphere to 3D points using the least squares approach.
geodesicCylinder	GEODESICCYLINDER computes the geodesic between two points on a cylinder.
hypot3	HYPOT3 Diagonal length of a cuboidal 3D box .
intersectBoxes3d	INTERSECTBOXES3D Intersection of two 3D bounding boxes.
intersectEdgePlane	INTERSECTEDGEPLANE Return intersection point between a plane and a edge.
intersectEdgePolygon3d	Intersection point of a 3D EDGE segment and a 3D polygon.
intersectLineCylinder	INTERSECTLINECYLINDER Compute intersection points between a line and a cylinder.
intersectLinePlane	INTERSECTLINEPLANE Intersection point between a 3D line and a plane.
intersectLinePolygon3d	INTERSECTLINEPOLYGON3D Intersection point of a 3D line and a 3D polygon.
intersectLineSphere	INTERSECTLINESPHERE Return intersection points between a line and a sphere.
intersectLineTriangle3d	INTERSECTLINETRIANGLE3D Intersection point of a 3D line and a 3D triangle.
intersectPlaneSphere	INTERSECTPLANESPHERE Return intersection circle between a plane and a sphere.
intersectPlanes	INTERSECTPLANES Return intersection line between 2 planes in space.
intersectRayPolygon3d	INTERSECTRAYPOLYGON3D Intersection point of a 3D ray and a 3D polygon.
intersectThreePlanes	INTERSECTTHREEPLANES Return intersection point between 3 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 3D vectors.
isPerpendicular3d	ISPERPENDICULAR3D Check orthogonality of two 3D vectors.
isPlane	ISPLANE Check if input is a plane.
isPointInEllipsoid	Check if a point is located inside a 3D ellipsoid.
isPointOnEdge3d	Test if a 3D point belongs to an edge.
isPointOnLine3d	ISPOINTONLINE3D Test if a 3D point belongs to a 3D line.
isTransform3d	ISTRANSFORM3D Check if input is a affine transformation matrix.
linePosition3d	Return the position of a 3D point projected on a 3D line.
lineToEdge3d	LINETOEDGE3D Convert a 3D straight line to a 3D finite edge.
lines3d	LINES3D Description of functions operating on 3D lines.
medianPlane	MEDIANPLANE Create a plane in the middle of 2 points.
mergeBoxes3d	MERGEBOXES3D Merge 3D boxes, by computing their greatest extent.
midPoint3d	MIDPOINT3D Middle point of two 3D points or of a 3D edge.
normalizeLine3d	NORMALIZELINE3D Normalizes the direction vector of a 3D line.
normalizePlane	NORMALIZEPLANE Normalize parametric representation of a plane.
normalizeVector3d	NORMALIZEVECTOR3D Normalize a 3D vector to have norm equal to 1.
oblateSurfaceArea	OBLATESURFACEAREA Approximated surface area of an oblate ellipsoid.
orientedBox3d	Object-oriented bounding box of a set of 3D points.
parallelLine3d	PARALLELLINE3D Create 3D line parallel to another one.
parallelPlane	PARALLELPLANE Parallel to a plane through a point or at a given distance.
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.
planesBisector	PLANESBISECTOR Bisector plane between two other planes.
points3d	POINTS3D Description of functions operating on 3D points.
polygon3dNormalAngle	POLYGON3DNORMALANGLE Normal angle at a vertex of the 3D polygon.
polygonArea3d	POLYGONAREA3D Area of a 3D polygon.
polygonCentroid3d	POLYGONCENTROID3D Centroid (or center of mass) of a polygon.
polygons3d	POLYGONS3D Description of functions operating on 3D polygons.
projLineOnPlane	PROJLINEONPLANE Return the orthogonal projection of a line on a plane.
projPointOnCircle3d	PROJPOINTONCIRCLE3D Project a 3D point onto a 3D circle.
projPointOnCylinder	PROJPOINTONCYLINDER Project a 3D point onto a cylinder.
projPointOnLine3d	PROJPOINTONLINE3D Project a 3D point orthogonally onto a 3D line.
projPointOnPlane	PROJPOINTONPLANE Return the orthogonal projection of a point on a plane.
prolateSurfaceArea	PROLATESURFACEAREA Approximated surface area of a prolate ellipsoid.
randomAngle3d	RANDOMANGLE3D Return a 3D angle uniformly distributed on unit sphere.
randomPointInBox3d	RANDOMPOINTINBOX3D Generate random point(s) within a 3D box.
recenterTransform3d	RECENTERTRANSFORM3D Change the fixed point of an affine 3D transform.
registerPoints3dAffine	Fit 3D affine transform using iterative algorithm.
reverseLine3d	REVERSELINE3D Return same 3D line but with opposite orientation.
reversePlane	REVERSEPLANE Return same 3D plane but with opposite orientation.
revolutionSurface	REVOLUTIONSURFACE Create a surface of revolution from a planar curve.
rotation3dAxisAndAngle	ROTATION3DAXISANDANGLE Determine axis and angle of a 3D rotation matrix.
rotation3dToEulerAngles	ROTATION3DTOEULERANGLES Extract Euler angles from a rotation matrix.
sph2cart2	SPH2CART2 Convert spherical coordinates to cartesian coordinates.
sph2cart2d	SPH2CART2D Convert spherical coordinates to cartesian coordinates in degrees.
spheres	SPHERES Description of functions operating on 3D spheres.
sphericalAngle	SPHERICALANGLE Compute angle between points on the sphere.
sphericalVoronoiDomain	SPHERICALVORONOIDOMAIN Compute a spherical voronoi domain.
surfaceCurvature	SURFACECURVATURE Curvature on a surface from angle and principal curvatures.
transformLine3d	TRANSFORMLINE3D Transform a 3D line with a 3D affine transform.
transformPlane3d	TRANSFORMPLANE3D Transform a 3D plane 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.
triangleArea3d	TRIANGLEAREA3D Area of a 3D triangle.
vectorAngle3d	VECTORANGLE3D Angle between two 3D vectors.
vectorCross3d	VECTORCROSS3D Vector cross product faster than inbuilt MATLAB cross.
vectorNorm3d	VECTORNORM3D Norm of a 3D vector or of set of 3D vectors.
vectors3d	VECTORS3D Description of functions operating on 3D vectors.

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