SymbSrfCurvatureUpperBound
Section: C Library Functions (3)
Updated: IRIT Version 6.0
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NAME
SymbSrfCurvatureUpperBound()
SYNOPSIS
symb_lib/curvatur.c:1058
CagdSrfStruct *SymbSrfCurvatureUpperBound(CagdSrfStruct *Srf)
DESCRIPTION
Computes curvature upper bound as Xi = k1^2 + k2^2, where k1 and k2 are
the principal curvatures.
Gij are the coefficients of the first fundamental form and Lij are of the
second, using non unit normal n,
( G11 L22 + G22 L11 - 2 G12 L12 )^2 - 2 |G| |L|
Xi = -----------------------------------------------
|G|^2 ||n||^2
See: "Second Order Surface Analysis Using Hybrid of Symbolic and Numeric
Operators", By Gershon Elber and Elaine Cohen, Transaction on graphics,
Vol. 12, No. 2, pp 160-178, April 1993.
PARAMETERS:
Srf: Surface to compute curvature bound for.
FUNCTION RETURN VALUE
CagdSrfStruct *: A scalar field representing the curvature bound.
SEE ALSO
SymbSrfFff,
SymbSrfSff,
SymbSrf2DDeterminant,
SymbSrfGaussCurvature,
,
SymbSrfMeanEvolute,
SymbSrfMeanCurvatureSqr,
SymbSrfIsoFocalSrf,
,
SymbSrfIsoDirNormalCurvatureBound,
ORIGIN
(C) Copyright 1989/90-95 Gershon Elber, Technion, IIT
Index
- NAME
-
- SYNOPSIS
-
- DESCRIPTION
-
- PARAMETERS:
-
- FUNCTION RETURN VALUE
-
- SEE ALSO
-
- ORIGIN
-
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