Derivative.hpp File Reference

#include <array>
#include <cassert>
#include <cstddef>
#include <vector>

Include dependency graph for Derivative.hpp:

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Namespaces
namespace	volcart
	Volume Cartographer library
namespace	volcart::segmentation
	Segmentation algorithms and utilities library

Functions
template<typename T >
T	volcart::segmentation::D1Forward (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the first derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D1Backward (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the first derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D1Central (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the first derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D1FivePointStencil (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the first derivative for a sampled point using a five-point stencil. More...
template<typename T >
T	volcart::segmentation::D1At (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the first derivative for a sampled point. More...
template<typename T >
std::vector< T >	volcart::segmentation::D1 (const std::vector< T > &vs, int hstep=1)
	Calculate the first derivative for a vector of sampled points. More...
template<typename T >
T	volcart::segmentation::D2Forward (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the second derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D2Backward (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the second derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D2Central (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the second derivative for a sampled point. More...
template<typename T >
T	volcart::segmentation::D2FivePointStencil (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the second derivative for a sampled point using a five-point stencil. More...
template<typename T >
T	volcart::segmentation::D2At (const std::vector< T > &vs, int index, int hstep=1)
	Calculate the second derivative for a sampled point. More...
template<typename T >
std::vector< T >	volcart::segmentation::D2 (const std::vector< T > &vs, int hstep=1)
	Calculate the second derivative for a vector of sampled points. More...

Variables
static constexpr std::array< std::array< double, 9 >, 4 >	volcart::segmentation::D1_CENTRAL_DIFF_COEFFS
static constexpr std::array< std::array< double, 9 >, 4 >	volcart::segmentation::D2_CENTRAL_DIFF_COEFFS

Detailed Description

From: https://en.wikipedia.org/wiki/Finite_difference_coefficient

Definition in file Derivative.hpp.