bitpit::rbf Namespace Reference

Utility fuctions for RBF. More...

Functions
double	c0c1 (double)
double	c0c2 (double)
double	c1c0 (double)
double	c1c1 (double)
double	c1c2 (double)
double	c2c0 (double)
double	c2c1 (double)
double	c2c2 (double)
double	cosinus (double)
double	gauss90 (double)
double	gauss95 (double)
double	gauss99 (double)
double	linear (double)
double	thinplate (double)
double	wendlandc2 (double)

Detailed Description

Utility fuctions for RBF.

Function Documentation

c0c1()

double bitpit::rbf::c0c1

(

double

dist

)

Polynomial function defined between 0,1. Preserve C0 continuity at dist=0, C1 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1570 of file rbf.cpp.

c0c2()

double bitpit::rbf::c0c2

(

double

dist

)

Polynomial function defined between 0,1. Preserve C0 continuity at dist=0, C2 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1615 of file rbf.cpp.

c1c0()

double bitpit::rbf::c1c0

(

double

dist

)

Polynomial function defined between 0,1. Preserve C1 continuity at dist=0, C0 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1540 of file rbf.cpp.

c1c1()

double bitpit::rbf::c1c1

(

double

dist

)

Polynomial function defined between 0,1. Preserve C1 continuity at dist=0, C1 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1585 of file rbf.cpp.

c1c2()

double bitpit::rbf::c1c2

(

double

dist

)

Polynomial function defined between 0,1. Preserve C1 continuity at dist=0, C2 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1630 of file rbf.cpp.

c2c0()

double bitpit::rbf::c2c0

(

double

dist

)

Polynomial function defined between 0,1. Preserve C2 continuity at dist=0, C0 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1555 of file rbf.cpp.

c2c1()

double bitpit::rbf::c2c1

(

double

dist

)

Polynomial function defined between 0,1. Preserve C2 continuity at dist=0, C1 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1600 of file rbf.cpp.

c2c2()

double bitpit::rbf::c2c2

(

double

dist

)

Polynomial function defined between 0,1. Preserve C2 continuity at dist=0, C2 continuity at dist=1. At dist > 1 is 0.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1645 of file rbf.cpp.

cosinus()

double bitpit::rbf::cosinus

(

double

dist

)

Cosinusoidal function defined between 0,1. It has a 0 value outside r=1. It preserves C_\infty.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1660 of file rbf.cpp.

gauss90()

double bitpit::rbf::gauss90

(

double

dist

)

Non compact gaussian function with 0.1 value at dist equal to 1

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1503 of file rbf.cpp.

gauss95()

double bitpit::rbf::gauss95

(

double

dist

)

Non compact gaussian function with 0.05 value at dist equal to 1

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1515 of file rbf.cpp.

gauss99()

double bitpit::rbf::gauss99

(

double

dist

)

Non compact gaussian function with 0.01 value at dist equal to 1

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1527 of file rbf.cpp.

linear()

double bitpit::rbf::linear

(

double

dist

)

Linear function

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1489 of file rbf.cpp.

thinplate()

double bitpit::rbf::thinplate

(

double

dist

)

Non compact thin plate spline function.

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1674 of file rbf.cpp.

wendlandc2()

double bitpit::rbf::wendlandc2

(

double

dist

)

Wendland C2 function

Parameters

[in]

dist

distance normalized with respect to support radius

Returns

rbf value

Definition at line 1475 of file rbf.cpp.