Home > matGeom > geom3d > surfaceCurvature.m

surfaceCurvature

PURPOSE ^

SURFACECURVATURE Curvature on a surface from angle and principal curvatures.

SYNOPSIS ^

function kappa = surfaceCurvature(kappa1, kappa2, theta)

DESCRIPTION ^

SURFACECURVATURE Curvature on a surface from angle and principal curvatures.

   usage:
   KAPPA = surfaceCurvature(KAPPA1, KAPPA2, THETA)
   return the curvature KAPPA of surface with respect to direction THETA.

CROSS-REFERENCE INFORMATION ^

This function calls: This function is called by:

SOURCE CODE ^

0001 function kappa = surfaceCurvature(kappa1, kappa2, theta)
0002 %SURFACECURVATURE Curvature on a surface from angle and principal curvatures.
0003 %
0004 %   usage:
0005 %   KAPPA = surfaceCurvature(KAPPA1, KAPPA2, THETA)
0006 %   return the curvature KAPPA of surface with respect to direction THETA.
0007 
0008 %   KAPPA1 and KAPPA2 are the principal curvatures of the surface at the
0009 %   considered point. THETA is angle of direction relative to angle of
0010 %   first principal curvature KAPPA1.
0011 %
0012 %   Examples:
0013 %   K = surfaceCurvature(KAPPA1, KAPPA2, 0) returns KAPPA1.
0014 %   K = surfaceCurvature(KAPPA1, KAPPA2, pi/2) returns KAPPA2.
0015 %
0016 
0017 % ------
0018 % Author: David Legland
0019 % E-mail: david.legland@inrae.fr
0020 % Created: 2004-04-07
0021 % Copyright 2004-2024 INRA - TPV URPOI - BIA IMASTE
0022 
0023 kappa = kappa1 * cos(theta).^2 + kappa2 * sin(theta).^2;

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