Model a 3-D surface. More...

#include <SurfaceModel.h>

Collaboration diagram for Isis::SurfaceModel:

Public Member Functions
	SurfaceModel ()
	Constructor.

	~SurfaceModel ()
	Destructor.

void	AddTriplet (const double x, const double y, const double z)
	Add a single (x,y,z) triplet to the list of knowns. After all knowns are added invoke the Solve method.

void	AddTriplets (const double x, const double y, const double *z, const int n)
	Add an array of (x,y,z) triplet to the list of knowns After all knowns are added invoke the Solve method.

void	AddTriplets (const std::vector< double > &x, const std::vector< double > &y, const std::vector< double > &z)
	Add an array of (x,y,z) triplet to the list of knowns After all knowns are added invoke the Solve method.

void	Solve ()
	Fit a surface to the input triplets.

double	Evaluate (const double x, const double y)
	Evaluate at x,y to compute z. This is available after the Solve method is invoked.

int	MinMax (double &x, double &y)
	After invoking Solve, a coordinate (x,y) at a local minimum (or maximum) of the surface model can be computed using this method.

Private Attributes
LeastSquares *	p_lsq

PolynomialBivariate *	p_poly2d

Detailed Description

Model a 3-D surface.

Given a set of (x,y,z) triplets, this class will model the surface that best fits the points. The equation to be modelled is:

\[z = a + b*x + c*y + d*x^2 + e*x*y + f*y^2 \]

Author: 2005-05-09 Jeff Anderson

History: 2008-06-18 Steven Lambright Fixed ifndef command

Todo: Add plot and/or visualize method

Definition at line 34 of file SurfaceModel.h.

Constructor & Destructor Documentation

◆ SurfaceModel()

Isis::SurfaceModel::SurfaceModel ( )

Constructor.

Definition at line 11 of file SurfaceModel.cpp.

◆ ~SurfaceModel()

Isis::SurfaceModel::~SurfaceModel ( )

Destructor.

Definition at line 17 of file SurfaceModel.cpp.

Member Function Documentation

◆ AddTriplet()

void Isis::SurfaceModel::AddTriplet	(	const double	x,
		const double	y,
		const double	z )

Add a single (x,y,z) triplet to the list of knowns. After all knowns are added invoke the Solve method.

Definition at line 24 of file SurfaceModel.cpp.

Referenced by AddTriplets(), and AddTriplets().

◆ AddTriplets() [1/2]

void Isis::SurfaceModel::AddTriplets	(	const double *	x,
		const double *	y,
		const double *	z,
		const int	n )

Add an array of (x,y,z) triplet to the list of knowns After all knowns are added invoke the Solve method.

Definition at line 33 of file SurfaceModel.cpp.

References AddTriplet().

◆ AddTriplets() [2/2]

void Isis::SurfaceModel::AddTriplets	(	const std::vector< double > &	x,
		const std::vector< double > &	y,
		const std::vector< double > &	z )

Add an array of (x,y,z) triplet to the list of knowns After all knowns are added invoke the Solve method.

Definition at line 42 of file SurfaceModel.cpp.

References AddTriplet().

◆ Evaluate()

double Isis::SurfaceModel::Evaluate	(	const double	x,
		const double	y )

Evaluate at x,y to compute z. This is available after the Solve method is invoked.

Definition at line 57 of file SurfaceModel.cpp.

◆ MinMax()

int Isis::SurfaceModel::MinMax	(	double &	x,
		double &	y )

After invoking Solve, a coordinate (x,y) at a local minimum (or maximum) of the surface model can be computed using this method.

Returns: A zero if successful, otherwise, the surface is a plane and has no min/max

Definition at line 70 of file SurfaceModel.cpp.

◆ Solve()

void Isis::SurfaceModel::Solve ( )

Fit a surface to the input triplets.

Definition at line 51 of file SurfaceModel.cpp.

Member Data Documentation

◆ p_lsq

LeastSquares* Isis::SurfaceModel::p_lsq

private

Definition at line 52 of file SurfaceModel.h.

◆ p_poly2d

PolynomialBivariate* Isis::SurfaceModel::p_poly2d