particle_cp_redistancing< particles_in_type, phi_field, closest_point_field, normal_field, curvature_field, num_minter_coeffs > Class Template Reference

Class for reinitializing a level-set function into a signed distance function using the Closest-Point method on particles. More...

#include <particle_cp.hpp>

Public Member Functions
	particle_cp_redistancing (particles_in_type &vd, Redist_options &redistOptions)
void	run_redistancing ()
void	redistance_separate_particle_set (particles_in_type &vd_generic)
particles_in_type	initialize_surface_discretization ()
template<size_t prp_id, size_t prp_id_to>
void	regress_field (particles_in_type &vd_generic)

Private Member Functions
int	return_sign (double phi)
void	detect_surface_particles ()
void	interpolate_sdf_field ()
void	find_closest_point (particles_in_type &vd_generic)
template<typename NNlist_type >
vect_dist_key_dx	get_closest_neighbor (Point< dim, double > &xa, NNlist_type &NN_s)
particles_in_type	format_vd_s ()
template<size_t prp_id, size_t prp_id_to>
void	regress_field_to_particles (particles_in_type &vd_generic)
template<typename PolyType >
double	get_p_minter (EMatrix< double, Eigen::Dynamic, 1 > xvector, PolyType model)
template<typename PolyType >
EMatrix< double, Eigen::Dynamic, 1 >	get_grad_p_minter (EMatrix< double, Eigen::Dynamic, 1 > xvector, PolyType model)
template<typename PolyType >
EMatrix< double, Eigen::Dynamic, Eigen::Dynamic >	get_H_p_minter (EMatrix< double, Eigen::Dynamic, 1 > xvector, PolyType model)
EMatrix< double, Eigen::Dynamic, 1 >	get_normal (EMatrix< double, Eigen::Dynamic, 1 > grad_p, float direction)
double	get_curvature (EMatrix< double, Eigen::Dynamic, 1 > grad_p, EMatrix< double, Eigen::Dynamic, Eigen::Dynamic > H_p)

Private Attributes
Redist_options	redistOptions
particles_in_type &	vd_in
int	dim_r = dim
int	n_c_r = n_c
particles_surface< dim, n_c >	vd_s
double	r_cutoff2
RegressionModel< dim, vd_s_sdf >	minterModelpcp

Static Private Attributes
static constexpr size_t	num_neibs = 0
static constexpr size_t	vd_s_close_part = 1
static constexpr size_t	vd_s_sdf = 2
static constexpr size_t	vd_s_sample = 3
static constexpr size_t	minter_coeff = 4
static constexpr size_t	vd_in_sdf = phi_field
static constexpr size_t	vd_in_close_part = 4
static constexpr size_t	vd_in_normal = normal_field
static constexpr size_t	vd_in_curvature = curvature_field
static constexpr size_t	vd_in_cp = closest_point_field
static constexpr unsigned int	dim = particles_in_type::dims
static constexpr unsigned int	n_c = num_minter_coeffs

Detailed Description

template<typename particles_in_type, size_t phi_field, size_t closest_point_field, size_t normal_field, size_t curvature_field, unsigned int num_minter_coeffs>
class particle_cp_redistancing< particles_in_type, phi_field, closest_point_field, normal_field, curvature_field, num_minter_coeffs >

Class for reinitializing a level-set function into a signed distance function using the Closest-Point method on particles.

The redistancing scheme here is based on Saye, Robert. "High-order methods for computing distances to implicitly defined surfaces." Communications in Applied Mathematics and Computational Science 9.1 (2014): 107-141. Within this file, it has been extended so that it also works on arbitrarily distributed particles. It mainly consists of these steps: Firstly, the particle distribution is assessed and a subset is determined, which will provide a set of sample points. For these, an interpolation of the old signed-distance function values in their support yields a polynomial whose zero level-set reconstructs the surface. The interpolation polynomials are then used to create a collection of sample points on the interface. Finally, a Newton-optimisation is performed in order to determine the closest point on the surface to a given query point, allowing for an update of the signed distance function.

Author

Lennart J. Schulze

Date

October 2021

Definition at line 63 of file particle_cp.hpp.

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

• openfpm_numerics/src/level_set/particle_cp/particle_cp.hpp