Terrain3x3< T > Class Template Reference

Sets up a terrain polynomial for a 3x3 grid from 2D regularly sampled data. More...

Public Member Functions
	Terrain3x3 (T dist, const T *zvals=0)
void	set (const T *)
T	valueAt (T x, T y) const
T	slope () const
T	direction () const
	-pi < d < pi, or undef More...
T	profileCurvature () const
	curv in slope direction More...
T	planformCurvature () const
	curv perp to slope dir More...

Public Attributes
const T	d_
const T	d2_
T	a0_
T	ax_
T	ay_
T	axy_
T	ax2_
T	ay2_
T	ax2y_
T	ay2x_
T	ax2y2_

Detailed Description

template<class T>
class Terrain3x3< T >

Sets up a terrain polynomial for a 3x3 grid from 2D regularly sampled data.

After Zevenbergen and Thorne (1987), Earth Surface Processes and Landforms, Vol 12, 47-56. Substitutes:

A=>ax2y2_ B=>ay2x_ C=>ax2y_ D=>ax2_ E=>ay2_ F=>axy_ G=>ax_ H=>ay_ I=>a0_

Z1 (-1, 1) => v[2] Z2 ( 0, 1) => v[5] Z3 ( 1, 1) => v[8] Z4 (-1, 0) => v[1] Z5 ( 0, 0) => v[4] Z6 ( 1, 0) => v[7] Z7 (-1,-1) => v[0] Z8 ( 0,-1) => v[3] Z9 ( 1,-1) => v[6]

Beware that direction, profileCurvature and planformCurvature can return undef.

Constructor & Destructor Documentation

template<class T >

Terrain3x3< T >::Terrain3x3 ( T  dist, const T *  zvals = 0  )

inline

Member Function Documentation

template<class T >

T Terrain3x3< T >::direction ( ) const

inline

-pi < d < pi, or undef

template<class T >

T Terrain3x3< T >::planformCurvature ( ) const

inline

curv perp to slope dir

template<class T >

T Terrain3x3< T >::profileCurvature ( ) const

inline

curv in slope direction

template<class T >

void Terrain3x3< T >::set ( const T *  v )

inline

0=[-1,-1] 1=[-1,0] 2=[-1,1] 3=[ 0,-1] 4=[ 0,0] 5=[ 0,1] 6=[ 1,-1] 7=[ 1,0] 8=[ 1,1]

template<class T >

T Terrain3x3< T >::slope ( ) const

inline

template<class T >

T Terrain3x3< T >::valueAt ( T  x, T  y  ) const

inline

Member Data Documentation

template<class T >

T Terrain3x3< T >::a0_

template<class T >

T Terrain3x3< T >::ax2_

template<class T >

T Terrain3x3< T >::ax2y2_

template<class T >

T Terrain3x3< T >::ax2y_

template<class T >

T Terrain3x3< T >::ax_

template<class T >

T Terrain3x3< T >::axy_

template<class T >

T Terrain3x3< T >::ay2_

template<class T >

T Terrain3x3< T >::ay2x_

template<class T >

T Terrain3x3< T >::ay_

template<class T >

const T Terrain3x3< T >::d2_

template<class T >

const T Terrain3x3< T >::d_