nmn::BasisFunction Class Reference

Basis function class for NURBS evaluation. More...

#include <basisfunction.h>

List of all members.

Public Member Functions
	BasisFunction ()
	Constructor.
	BasisFunction (const BasisFunction &basis_function)
	Copy constructor.
	~BasisFunction ()
	Destructor.
BasisFunction	operator= (const BasisFunction &basis_function)
	Assignment operator: copy of the basis function basis_function.
void	setKnots (const std::vector< Float > &knots)
	Sets the knot vector.
void	setDegree (const UnsignedInt &degree)
	Sets the degree of the basis function.
const std::vector< Float > &	getKnots () const
	Returns the knot vector.
const UnsignedInt &	getDegree () const
	Returns the degree of the basis function.
Float	evaluate (const Float &parameter, const UnsignedInt &index) const
	Evaluates the basis function.
Float	derive (const Float &parameter, const UnsignedInt &index) const
	Returns the derivative of the basis function.
Protected Member Functions
Polynomius	evaluatePolynomius (const Float &parameter, const UnsignedInt &index) const
	Returns the basis function evaluation as polynomial representation.
Polynomius	evaluatePolynomius (const Float &parameter, const UnsignedInt &index, const UnsignedInt &degree) const
	Returns the basis function evaluation as polynomial representation.
Protected Attributes
Cache< BasisFunction::Key, Polynomius, BasisFunction >	_cache
std::vector< Float >	_knots
UnsignedInt	_degree
Friends
class	Cache< Key, Polynomius, BasisFunction >
Classes
class	Key
	This class is for BasisFunction class private use only. More...

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Detailed Description

Basis function class for NURBS evaluation.

This class represents the usual basis function definition for NURBS evaluation.

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Constructor & Destructor Documentation

nmn::BasisFunction::BasisFunction

(

)

Constructor.

Sets an empty knot vector and sets degree to 0.

nmn::BasisFunction::BasisFunction

(

const BasisFunction &

basis_function

)

Copy constructor.

Parameters:

basis_function

basis function to be copied.

nmn::BasisFunction::~BasisFunction

(

)

Destructor.

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Member Function Documentation

Float nmn::BasisFunction::derive	(	const Float &	parameter,
		const UnsignedInt &	index
	)			const

Returns the derivative of the basis function.

Parameters:

	parameter	fixed parameter value for the basis function derivative evaluation.
	index	index value for the basis function derivative evaluation.

Returns the basis function derivative for the fixed parameter parameter and the index index.

Float nmn::BasisFunction::evaluate	(	const Float &	parameter,
		const UnsignedInt &	index
	)			const

Evaluates the basis function.

Parameters:

	parameter	fixed parameter value for basis function evaluation.
	index	index value for basis function evaluation.

Returns the basis function evaluation for the fixed parameter parameter and the index index.

Polynomius nmn::BasisFunction::evaluatePolynomius	(	const Float &	parameter,
		const UnsignedInt &	index,
		const UnsignedInt &	degree
	)			const [protected]

Returns the basis function evaluation as polynomial representation.

This recursive method is the core for basis function evaluation as polynomial representation. Private use.

Polynomius nmn::BasisFunction::evaluatePolynomius	(	const Float &	parameter,
		const UnsignedInt &	index
	)			const [protected]

Returns the basis function evaluation as polynomial representation.

Parameters:

	parameter	fixed parameter value for the basis function evaluation.
	index	index value for the basis function evaluation.

As the basis function is a polynomius, this method evaluates that polynomius in the parameter parameter and the index index. This polynomial representation of the basis function makes easy to caching e derivation for the basis function.

const UnsignedInt & nmn::BasisFunction::getDegree

(

)

const

Returns the degree of the basis function.

const std::vector< Float > & nmn::BasisFunction::getKnots

(

)

const

Returns the knot vector.

BasisFunction nmn::BasisFunction::operator=

(

const BasisFunction &

basis_function

)

Assignment operator: copy of the basis function basis_function.

Parameters:

basis_function

basis function to copy.

void nmn::BasisFunction::setDegree

(

const UnsignedInt &

degree

)

Sets the degree of the basis function.

Parameters:

degree

degree of the basis function.

void nmn::BasisFunction::setKnots

(

const std::vector< Float > &

knots

)

Sets the knot vector.

Parameters:

knots

knot vector.

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Friends And Related Function Documentation

friend class Cache< Key, Polynomius, BasisFunction > [friend]

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Member Data Documentation

Cache< BasisFunction::Key, Polynomius, BasisFunction > nmn::BasisFunction::_cache [mutable, protected]

UnsignedInt nmn::BasisFunction::_degree [protected]

std::vector< Float > nmn::BasisFunction::_knots [protected]

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The documentation for this class was generated from the following files:

• /Users/dev/Public/nmnurbs/nmnurbs/include/basisfunction.h
• /Users/dev/Public/nmnurbs/nmnurbs/src/basisfunction.cpp

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