vectorNorm3d

PURPOSE

SYNOPSIS

DESCRIPTION

VECTORNORM3D Norm of a 3D vector or of set of 3D vectors.

   N = vectorNorm3d(V);
   Returns the norm of vector V.

   When V is a N-by-3 array, compute norm for each vector of the array.
   Vectors are given as rows. Result is then a N-by-1 array.

   NOTE: Computes only the Euclidean norm.

   See also
     vectors3d, normalizeVector3d, vectorAngle3d, hypot3

CROSS-REFERENCE INFORMATION

• createPlane CREATEPLANE Create a plane in parametrized form.
• dihedralAngle DIHEDRALANGLE Compute dihedral angle between 2 planes.
• distanceLines3d DISTANCELINES3D Minimal distance between two 3D lines.
• distancePointLine3d DISTANCEPOINTLINE3D Euclidean distance between 3D point and line.
• distancePoints3d DISTANCEPOINTS3D Compute euclidean distance between pairs of 3D Points.
• intersectLineTriangle3d INTERSECTLINETRIANGLE3D Intersection point of a 3D line and a 3D triangle.
• isParallel3d ISPARALLEL3D Check parallelism of two 3D vectors.
• isPointOnLine3d ISPOINTONLINE3D Test if a 3D point belongs to a 3D line.
• polygonArea3d POLYGONAREA3D Area of a 3D polygon.
• triangleArea3d TRIANGLEAREA3D Area of a 3D triangle.
• vectorAngle3d VECTORANGLE3D Angle between two 3D vectors.
• intersectLineMesh3d INTERSECTLINEMESH3D Intersection points of a 3D line with a mesh.
• mergeCoplanarFaces MERGECOPLANARFACES Merge coplanar faces of a polyhedral mesh.
• meshFaceAreas MESHFACEAREAS Surface area of each face of a mesh.
• meshSilhouette MESHSILHOUETTE Compute the 2D outline of a 3D mesh on an arbitrary plane.
• minConvexHull MINCONVEXHULL Return the unique minimal convex hull of a set of 3D points.
• trimeshSurfaceArea TRIMESHSURFACEAREA Surface area of a triangular mesh.

SOURCE CODE

0001 function n = vectorNorm3d(v)
0002 %VECTORNORM3D Norm of a 3D vector or of set of 3D vectors.
0003 %
0004 %   N = vectorNorm3d(V);
0005 %   Returns the norm of vector V.
0006 %
0007 %   When V is a N-by-3 array, compute norm for each vector of the array.
0008 %   Vectors are given as rows. Result is then a N-by-1 array.
0009 %
0010 %   NOTE: Computes only the Euclidean norm.
0011 %
0012 %   See also
0013 %     vectors3d, normalizeVector3d, vectorAngle3d, hypot3
0014 %
0015 
0016 % ------
0017 % Author: David Legland
0018 % E-mail: david.legland@inrae.fr
0019 % Created: 2005-02-21
0020 % Copyright 2005-2024 INRA - TPV URPOI - BIA IMASTE
0021 
0022 n = sqrt(sum(v.*v, ndims(v)));