Data Structures
struct	ATu0v1
	Aim: This class solves Ambrosio-Tortorelli functional in a plane for u a (vector of) 0-form(s) and v a 1-form. u is a regularized approximation of an input data g, while v represents the set of discontinuities of u. More...

struct	ATu2v0
	Aim: This class solves Ambrosio-Tortorelli functional in a plane for u a (vector of) 2-form(s) and v a 0-form. u is a regularized approximation of an input image data g (grey-level or color image), while v represents the set of discontinuities of u. More...

struct	ATVu2v0
	Aim: This class solves a variant of Ambrosio-Tortorelli functional in a plane for u a (vector of) 2-form(s) and v a 0-form. u is a regularized approximation of an input image data g (grey-level or color image), while v represents the set of discontinuities of u. Instead of using \( \epsilon \\| \nabla v \\|^2 + \frac{1}{4\epsilon}(1-v)^2\) as a penalizer, it uses \( \epsilon^3 \\| \Delta v \\|^2 + \frac{1}{\epsilon}(1-v)^2\). More...

struct	DECImage2D
	Aim: This class simplifies the development of 2D image processing tools using discrete exterior calculus. Most notably it take care of initializing correctly a discrete exterior calculus in some 2D domain, and precomputes derivative and Hodge star operators. You may have a look at module Image restoration and inpainting with Ambrosio-Tortorelli functional for such image processing tools and more explanation on discrete calculus. More...

Functions
template<typename TKSpace , typename TLinearAlgebra >
std::ostream &	operator<< (std::ostream &out, const ATu0v1< TKSpace, TLinearAlgebra > &object)

template<typename TKSpace , typename TLinearAlgebra >
std::ostream &	operator<< (std::ostream &out, const ATu2v0< TKSpace, TLinearAlgebra > &object)

template<typename TKSpace , typename TLinearAlgebra >
std::ostream &	operator<< (std::ostream &out, const ATVu2v0< TKSpace, TLinearAlgebra > &object)

Function Documentation

◆ operator<<() [1/3]

template<typename TKSpace , typename TLinearAlgebra >

std::ostream & DGtal::operator<<	(	std::ostream &	out,
		const ATu0v1< TKSpace, TLinearAlgebra > &	object
	)

Overloads 'operator<<' for displaying objects of class 'ATu0v1'.

Parameters

out	the output stream where the object is written.
object	the object of class 'ATu0v1' to write.

template<typename TKSpace , typename TLinearAlgebra >

std::ostream & DGtal::operator<<	(	std::ostream &	out,
		const ATu2v0< TKSpace, TLinearAlgebra > &	object
	)

Overloads 'operator<<' for displaying objects of class 'ATu2v0'.

Parameters

out	the output stream where the object is written.
object	the object of class 'ATu2v0' to write.

template<typename TKSpace , typename TLinearAlgebra >

std::ostream & DGtal::operator<<	(	std::ostream &	out,
		const ATVu2v0< TKSpace, TLinearAlgebra > &	object
	)

Overloads 'operator<<' for displaying objects of class 'ATVu2v0'.

Parameters

out	the output stream where the object is written.
object	the object of class 'ATVu2v0' to write.