Description of normalizeVector3d

DESCRIPTION

NORMALIZEVECTOR3D Normalize a 3D vector to have norm equal to 1.

   V2 = normalizeVector3d(V);
   Returns the normalization of vector V, such that ||V|| = 1. Vector V is
   given as a row vector.

   If V is a N-by-3 array, normalization is performed for each row of the
   input array.

   If V is a M-by-N-by-3 array, normalization is performed along the last
   dimension of the array.

   See also:
     vectors3d, vectorNorm3d

CROSS-REFERENCE INFORMATION

anglePoints3d ANGLEPOINTS3D Compute angle between three 3D points.

createPlane CREATEPLANE Create a plane in parametrized form.

createRotation3dLineAngle CREATEROTATION3DLINEANGLE Create rotation around a line by an angle theta.

createRotationVector3d CREATEROTATIONVECTOR3D Calculates the rotation between two vectors.

distancePointPlane DISTANCEPOINTPLANE Signed distance betwen 3D point and plane.

drawAngleBetweenVectors3d DRAWANGLEBETWEENVECTORS3D Draw an arc between 2 vectors.

drawSphericalTriangle DRAWSPHERICALTRIANGLE Draw a triangle on a sphere.

fillSphericalTriangle FILLSPHERICALTRIANGLE Fill a triangle on a sphere.

intersectPlanes INTERSECTPLANES Return intersection line between 2 planes in space.

intersectThreePlanes INTERSECTTHREEPLANES Return intersection point between 3 planes in space.

normalizeLine3d NORMALIZELINE3D Normalizes the direction vector of a 3D line.

normalizePlane NORMALIZEPLANE Normalize parametric representation of a plane.

orientedBox3d Object-oriented bounding box of a set of 3D points.

parallelPlane PARALLELPLANE Parallel to a plane through a point or at a given distance.

projPointOnCircle3d PROJPOINTONCIRCLE3D Project a 3D point onto a 3D circle.

sphericalAngle SPHERICALANGLE Compute angle between points on the sphere.

curveToMesh Create a mesh surrounding a 3D curve.

meshFaceNormals MESHFACENORMALS Compute normal vector of faces in a 3D mesh.

meshSurfaceArea Surface area of a polyhedral mesh.

meshVertexNormals MESHVERTEXNORMALS Compute normals to a mesh vertices.

vertexNormal VERTEXNORMAL Compute normals to a mesh vertices.

SOURCE CODE

0001 function vn = normalizeVector3d(v)
0002 %NORMALIZEVECTOR3D Normalize a 3D vector to have norm equal to 1.
0003 %
0004 %   V2 = normalizeVector3d(V);
0005 %   Returns the normalization of vector V, such that ||V|| = 1. Vector V is
0006 %   given as a row vector.
0007 %
0008 %   If V is a N-by-3 array, normalization is performed for each row of the
0009 %   input array.
0010 %
0011 %   If V is a M-by-N-by-3 array, normalization is performed along the last
0012 %   dimension of the array.
0013 %
0014 %   See also:
0015 %     vectors3d, vectorNorm3d
0016 %
0017 
0018 %   ---------
0019 %   author : David Legland
0020 %   INRA - TPV URPOI - BIA IMASTE
0021 %   created the 29/11/2004.
0022 %
0023 
0024 % HISTORY
0025 % 2005-11-30 correct a bug
0026 % 2009-06-19 rename as normalizeVector3d
0027 % 2010-11-16 use bsxfun (Thanks to Sven Holcombe)
0028 
0029 if ismatrix(v)
0030     vn = bsxfun(@rdivide, v, sqrt(sum(v.^2, 2)));
0031 else
0032     vn = bsxfun(@rdivide, v, sqrt(sum(v.^2, ndims(v))));
0033 end

normalizeVector3d

PURPOSE

SYNOPSIS

DESCRIPTION

CROSS-REFERENCE INFORMATION

SOURCE CODE