slim Namespace Reference

Classes
struct	GeometryData
class	SlimFailedException
struct	SLIMData
struct	MatrixTransferChart
struct	PinnedVertexData
struct	MatrixTransfer

Typedefs
using	SLIMDataPtr = std::unique_ptr<SLIMData>

Functions
static void	correct_geometry_size (double surface_area_to_map_area_ratio, MatrixXd &vertex_positions, double desired_surface_area_to_map_ration)
template<typename VertexPositionType, typename FaceIndicesType>
static double	compute_surface_area (const VertexPositionType v, const FaceIndicesType f)
void	correct_map_surface_area_if_necessary (SLIMData &slim_data)
void	correct_mesh_surface_area_if_necessary (SLIMData &slim_data)
template<typename DerivedV, typename DerivedF, typename DerivedC>
static void	cotmatrix_entries (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::PlainObjectBase< DerivedC > &C)
template<typename DerivedV, typename DerivedF, typename Scalar>
void	cotmatrix (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::SparseMatrix< Scalar > &L)
template<typename DerivedX, typename DerivedY, typename DerivedIX>
static void	doublearea_sort3 (const Eigen::PlainObjectBase< DerivedX > &X, const int dim, const bool ascending, Eigen::PlainObjectBase< DerivedY > &Y, Eigen::PlainObjectBase< DerivedIX > &IX)
template<typename DerivedV, typename DerivedF, typename DeriveddblA>
void	doublearea (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::PlainObjectBase< DeriveddblA > &dblA)
template<typename Derivedl, typename DeriveddblA>
void	doublearea (const Eigen::PlainObjectBase< Derivedl > &ul, Eigen::PlainObjectBase< DeriveddblA > &dblA)
template<typename DerivedV, typename DerivedF, typename DerivedL>
void	edge_lengths (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::PlainObjectBase< DerivedL > &L)
template<typename DerivedV, typename DerivedF, typename DerivedL>
void	squared_edge_lengths (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::PlainObjectBase< DerivedL > &L)
static double	line_search (Eigen::MatrixXd &x, const Eigen::MatrixXd &d, double step_size, std::function< double(Eigen::MatrixXd &)> energy, double cur_energy=-1)
static double	get_smallest_pos_quad_zero (double a, double b, double c)
static double	get_min_pos_root_2D (const Eigen::MatrixXd &uv, const Eigen::MatrixXi &F, Eigen::MatrixXd &d, int f)
static double	compute_max_step_from_singularities (const Eigen::MatrixXd &uv, const Eigen::MatrixXi &F, Eigen::MatrixXd &d)
double	flip_avoiding_line_search (const Eigen::MatrixXi F, Eigen::MatrixXd &cur_v, Eigen::MatrixXd &dst_v, std::function< double(Eigen::MatrixXd &)> energy, double cur_energy)
static void	create_weights_per_face (SLIMData &slim_data)
static void	apply_transformation (SLIMData &slim_data, Matrix2d &transformation_matrix)
static void	apply_translation (SLIMData &slim_data, Vector2d &translation_vector)
static void	retrieve_positions_of_pinned_vertices_in_initialization (const MatrixXd &all_uv_positions_in_initialization, const VectorXi &indices_of_pinned_vertices, MatrixXd &position_of_pinned_vertices_in_initialization)
static void	flip_input_geometry (SLIMData &slim_data)
static void	compute_centroid (const MatrixXd &point_cloud, Vector2d &centroid)
static void	compute_least_squares_scaling (MatrixXd centered_pins, MatrixXd centered_initialized_pins, Matrix2d &transformation_matrix)
static void	comput_least_squares_rotation_scale_only (SLIMData &slim_data, Vector2d &translation_vector, Matrix2d &transformation_matrix, bool is_flip_allowed)
static void	compute_transformation_matrix2_pins (const SLIMData &slim_data, Matrix2d &transformation_matrix)
static void	compute_translation1_pin (const SLIMData &slim_data, Vector2d &translation_vector)
static void	transform_initialized_map (SLIMData &slim_data)
static bool	is_translation_needed (const SLIMData &slim_data)
void	transform_initialization_if_necessary (SLIMData &slim_data)
template<typename DerivedV, typename DerivedF>
static void	grad (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::SparseMatrix< typename DerivedV::Scalar > &G, bool uniform=false)
template<typename DerivedA, typename DerivedR, typename DerivedT, typename DerivedU, typename DerivedS, typename DerivedV>
static void	polar_svd (const Eigen::PlainObjectBase< DerivedA > &A, Eigen::PlainObjectBase< DerivedR > &R, Eigen::PlainObjectBase< DerivedT > &T, Eigen::PlainObjectBase< DerivedU > &U, Eigen::PlainObjectBase< DerivedS > &S, Eigen::PlainObjectBase< DerivedV > &V)
static void	compute_surface_gradient_matrix (const Eigen::MatrixXd &V, const Eigen::MatrixXi &F, const Eigen::MatrixXd &F1, const Eigen::MatrixXd &F2, Eigen::SparseMatrix< double > &D1, Eigen::SparseMatrix< double > &D2)
static void	compute_weighted_jacobians (SLIMData &s, const Eigen::MatrixXd &uv)
static void	compute_unweighted_jacobians (SLIMData &s, const Eigen::MatrixXd &uv)
static void	compute_jacobians (SLIMData &s, const Eigen::MatrixXd &uv)
static void	update_weights_and_closest_rotations (SLIMData &s, Eigen::MatrixXd &uv)
template<typename DerivedV, typename DerivedF>
static void	local_basis (const Eigen::PlainObjectBase< DerivedV > &V, const Eigen::PlainObjectBase< DerivedF > &F, Eigen::PlainObjectBase< DerivedV > &B1, Eigen::PlainObjectBase< DerivedV > &B2, Eigen::PlainObjectBase< DerivedV > &B3)
static void	pre_calc (SLIMData &s)
static void	buildA (SLIMData &s, Eigen::SparseMatrix< double > &A)
static void	buildRhs (SLIMData &s, const Eigen::SparseMatrix< double > &At)
static void	add_soft_constraints (SLIMData &s, Eigen::SparseMatrix< double > &L)
static void	build_linear_system (SLIMData &s, Eigen::SparseMatrix< double > &L)
static double	compute_energy_with_jacobians (SLIMData &s, const Eigen::MatrixXd &Ji, Eigen::VectorXd &areas, Eigen::VectorXd &singularValues, bool gatherSingularValues)
static double	compute_soft_const_energy (SLIMData &s, Eigen::MatrixXd &V_o)
static double	compute_energy (SLIMData &s, Eigen::MatrixXd &V_new, Eigen::VectorXd &singularValues, bool gatherSingularValues)
static double	compute_energy (SLIMData &s, Eigen::MatrixXd &V_new)
static double	compute_energy (SLIMData &s, Eigen::MatrixXd &V_new, Eigen::VectorXd &singularValues)
void	slim_precompute (Eigen::MatrixXd &V, Eigen::MatrixXi &F, Eigen::MatrixXd &V_init, SLIMData &data, SLIMData::SLIM_ENERGY slim_energy, Eigen::VectorXi &b, Eigen::MatrixXd &bc, double soft_p)
double	computeGlobalScaleInvarianceFactor (Eigen::VectorXd &singularValues, Eigen::VectorXd &areas)
static void	solve_weighted_arap (SLIMData &s, Eigen::MatrixXd &uv)
Eigen::MatrixXd	slim_solve (SLIMData &data, int iter_num)
static void	transfer_uvs_back_to_native_part (MatrixTransferChart &chart, Eigen::MatrixXd &uv)
static Eigen::MatrixXd	get_interactive_result_blended_with_original (float blend, const SLIMData &slim_data)
static void	adjust_pins (SLIMData &slim_data, const PinnedVertexData &pinned_vertex_data)
static double	compute_angle (const Eigen::Vector3d &a, const Eigen::Vector3d &b)
static void	find_vertex_to_opposite_angles_correspondence (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, Eigen::SparseMatrix< double > &vertex_to_face_indices)
static void	find_vertex_to_its_angles_correspondence (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, Eigen::SparseMatrix< double > &vertex_to_face_indices)
void	convex_border_parameterization (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, const Eigen::MatrixXi &e, const Eigen::VectorXd &el, const Eigen::VectorXi &bnd, const Eigen::MatrixXd &bnd_uv, Eigen::MatrixXd &uv, Method method)
void	mvc (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, const Eigen::MatrixXi &e, const Eigen::VectorXd &el, const Eigen::VectorXi &bnd, const Eigen::MatrixXd &bnd_uv, Eigen::MatrixXd &uv)
void	harmonic (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, const Eigen::MatrixXi &e, const Eigen::VectorXd &el, const Eigen::VectorXi &bnd, const Eigen::MatrixXd &bnd_uv, Eigen::MatrixXd &uv)
void	tutte (const Eigen::MatrixXi &f, const Eigen::MatrixXd &v, const Eigen::MatrixXi &e, const Eigen::VectorXd &el, const Eigen::VectorXi &bnd, const Eigen::MatrixXd &bnd_uv, Eigen::MatrixXd &uv)
void	map_vertices_to_convex_border (Eigen::MatrixXd &vertex_positions)
static void	get_flips (const Eigen::MatrixXi &f, const Eigen::MatrixXd &uv, std::vector< int > &flip_idx)
int	count_flips (const Eigen::MatrixXi &f, const Eigen::MatrixXd &uv)
void	harmonic (const Eigen::MatrixXd &v, const Eigen::MatrixXi &f, const Eigen::MatrixXi &B, const Eigen::MatrixXd &bnd_uv, int power_of_harmonic_operaton, Eigen::MatrixXd &UV)

Typedef Documentation

SLIMDataPtr

using slim::SLIMDataPtr = std::unique_ptr<SLIMData>

Definition at line 18 of file slim_matrix_transfer.h.

Function Documentation

add_soft_constraints()

void slim::add_soft_constraints ( SLIMData & s, Eigen::SparseMatrix< double > & L )

inlinestatic

Definition at line 536 of file slim.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, BLI_assert, slim::SLIMData::dim, i, L, slim::SLIMData::rhs, slim::SLIMData::soft_const_p, slim::SLIMData::v_num, and slim::SLIMData::valid.

Referenced by build_linear_system().

adjust_pins()

void slim::adjust_pins ( SLIMData & slim_data, const PinnedVertexData & pinned_vertex_data )

static

Definition at line 47 of file slim_parametrizer.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, slim::PinnedVertexData::pinned_vertex_indices, slim::PinnedVertexData::pinned_vertex_positions_2D, slim::PinnedVertexData::selected_pins, and slim::SLIMData::valid.

Referenced by slim::MatrixTransfer::parametrize_live().

apply_transformation()

void slim::apply_transformation ( SLIMData & slim_data, Matrix2d & transformation_matrix )

static

Definition at line 21 of file least_squares_relocator.cpp.

References BLI_assert, i, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by transform_initialized_map().

apply_translation()

void slim::apply_translation ( SLIMData & slim_data, Vector2d & translation_vector )

static

Definition at line 30 of file least_squares_relocator.cpp.

References BLI_assert, i, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by transform_initialized_map().

build_linear_system()

void slim::build_linear_system ( SLIMData & s, Eigen::SparseMatrix< double > & L )

inlinestatic

Definition at line 549 of file slim.cpp.

References A, add_soft_constraints(), BLI_assert, buildA(), buildRhs(), slim::SLIMData::dim, slim::SLIMData::f_n, L, slim::SLIMData::proximal_p, slim::SLIMData::v_n, slim::SLIMData::valid, and slim::SLIMData::WGL_M.

Referenced by solve_weighted_arap().

buildA()

void slim::buildA ( SLIMData & s, Eigen::SparseMatrix< double > & A )

inlinestatic

Definition at line 463 of file slim.cpp.

References A, BLI_assert, slim::SLIMData::Dx, slim::SLIMData::Dy, slim::SLIMData::f_n, slim::SLIMData::v_n, slim::SLIMData::valid, slim::SLIMData::W_11, slim::SLIMData::W_12, slim::SLIMData::W_21, slim::SLIMData::W_22, and slim::SLIMData::weightPerFaceMap.

Referenced by build_linear_system().

buildRhs()

void slim::buildRhs ( SLIMData & s, const Eigen::SparseMatrix< double > & At )

inlinestatic

Definition at line 508 of file slim.cpp.

References BLI_assert, slim::SLIMData::dim, slim::SLIMData::f_n, i, slim::SLIMData::proximal_p, slim::SLIMData::rhs, slim::SLIMData::Ri, slim::SLIMData::v_n, slim::SLIMData::V_o, slim::SLIMData::valid, slim::SLIMData::W_11, slim::SLIMData::W_12, slim::SLIMData::W_21, slim::SLIMData::W_22, and slim::SLIMData::WGL_M.

Referenced by build_linear_system().

comput_least_squares_rotation_scale_only()

void slim::comput_least_squares_rotation_scale_only ( SLIMData & slim_data, Vector2d & translation_vector, Matrix2d & transformation_matrix, bool is_flip_allowed )

static

Definition at line 111 of file least_squares_relocator.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, BLI_assert, compute_centroid(), compute_least_squares_scaling(), flip_input_geometry(), retrieve_positions_of_pinned_vertices_in_initialization(), slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by transform_initialized_map().

compute_angle()

double slim::compute_angle ( const Eigen::Vector3d & a, const Eigen::Vector3d & b )

static

Definition at line 17 of file uv_initializer.cpp.

References acos, and b.

Referenced by find_vertex_to_its_angles_correspondence(), and find_vertex_to_opposite_angles_correspondence().

compute_centroid()

void slim::compute_centroid ( const MatrixXd & point_cloud, Vector2d & centroid )

static

Definition at line 61 of file least_squares_relocator.cpp.

Referenced by comput_least_squares_rotation_scale_only().

compute_energy() [1/3]

double slim::compute_energy ( SLIMData & s, Eigen::MatrixXd & V_new )

inlinestatic

Definition at line 654 of file slim.cpp.

References BLI_assert, compute_energy(), and slim::SLIMData::valid.

compute_energy() [2/3]

double slim::compute_energy ( SLIMData & s, Eigen::MatrixXd & V_new, Eigen::VectorXd & singularValues )

inlinestatic

Definition at line 661 of file slim.cpp.

References BLI_assert, compute_energy(), and slim::SLIMData::valid.

compute_energy() [3/3]

double slim::compute_energy ( SLIMData & s, Eigen::MatrixXd & V_new, Eigen::VectorXd & singularValues, bool gatherSingularValues )

inlinestatic

Definition at line 643 of file slim.cpp.

References BLI_assert, compute_energy_with_jacobians(), compute_jacobians(), compute_soft_const_energy(), slim::SLIMData::Ji, slim::SLIMData::M, and slim::SLIMData::valid.

Referenced by compute_energy(), compute_energy(), slim_precompute(), and slim_solve().

compute_energy_with_jacobians()

double slim::compute_energy_with_jacobians ( SLIMData & s, const Eigen::MatrixXd & Ji, Eigen::VectorXd & areas, Eigen::VectorXd & singularValues, bool gatherSingularValues )

inlinestatic

Definition at line 572 of file slim.cpp.

References slim::SLIMData::ARAP, BLI_assert, slim::SLIMData::CONFORMAL, exp, slim::SLIMData::EXP_CONFORMAL, slim::SLIMData::exp_factor, slim::SLIMData::EXP_SYMMETRIC_DIRICHLET, slim::SLIMData::F, slim::SLIMData::f_n, i, log, slim::SLIMData::LOG_ARAP, polar_svd(), pow, slim::SLIMData::slim_energy, slim::SLIMData::SYMMETRIC_DIRICHLET, and slim::SLIMData::valid.

Referenced by compute_energy().

compute_jacobians()

void slim::compute_jacobians ( SLIMData & s, const Eigen::MatrixXd & uv )

inlinestatic

Definition at line 277 of file slim.cpp.

References BLI_assert, compute_unweighted_jacobians(), compute_weighted_jacobians(), slim::SLIMData::valid, and slim::SLIMData::withWeightedParameterization.

Referenced by compute_energy(), and update_weights_and_closest_rotations().

compute_least_squares_scaling()

void slim::compute_least_squares_scaling ( MatrixXd centered_pins, MatrixXd centered_initialized_pins, Matrix2d & transformation_matrix )

static

Definition at line 94 of file least_squares_relocator.cpp.

References abs.

Referenced by comput_least_squares_rotation_scale_only().

compute_max_step_from_singularities()

double slim::compute_max_step_from_singularities ( const Eigen::MatrixXd & uv, const Eigen::MatrixXi & F, Eigen::MatrixXd & d )

inlinestatic

Definition at line 135 of file flip_avoiding_line_search.cpp.

References F, get_min_pos_root_2D(), and min.

Referenced by flip_avoiding_line_search().

compute_soft_const_energy()

double slim::compute_soft_const_energy ( SLIMData & s, Eigen::MatrixXd & V_o )

inlinestatic

Definition at line 633 of file slim.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, BLI_assert, e, i, slim::SLIMData::soft_const_p, and slim::SLIMData::valid.

Referenced by compute_energy().

compute_surface_area()

template<typename VertexPositionType, typename FaceIndicesType>

double slim::compute_surface_area ( const VertexPositionType v, const FaceIndicesType f )

static

Definition at line 31 of file area_compensation.cpp.

References doublearea(), and v.

Referenced by correct_map_surface_area_if_necessary(), and correct_mesh_surface_area_if_necessary().

compute_surface_gradient_matrix()

void slim::compute_surface_gradient_matrix ( const Eigen::MatrixXd & V, const Eigen::MatrixXi & F, const Eigen::MatrixXd & F1, const Eigen::MatrixXd & F2, Eigen::SparseMatrix< double > & D1, Eigen::SparseMatrix< double > & D2 )

inlinestatic

Definition at line 231 of file slim.cpp.

References F, G, grad(), and V.

Referenced by pre_calc().

compute_transformation_matrix2_pins()

void slim::compute_transformation_matrix2_pins ( const SLIMData & slim_data, Matrix2d & transformation_matrix )

static

Definition at line 158 of file least_squares_relocator.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, BLI_assert, pow, sqrt, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by transform_initialized_map().

compute_translation1_pin()

void slim::compute_translation1_pin ( const SLIMData & slim_data, Vector2d & translation_vector )

static

Definition at line 181 of file least_squares_relocator.cpp.

References slim::SLIMData::b, slim::SLIMData::bc, BLI_assert, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by transform_initialized_map().

compute_unweighted_jacobians()

void slim::compute_unweighted_jacobians ( SLIMData & s, const Eigen::MatrixXd & uv )

inlinestatic

Definition at line 266 of file slim.cpp.

References BLI_assert, slim::SLIMData::Dx, slim::SLIMData::Dy, slim::SLIMData::Ji, and slim::SLIMData::valid.

Referenced by compute_jacobians().

compute_weighted_jacobians()

void slim::compute_weighted_jacobians ( SLIMData & s, const Eigen::MatrixXd & uv )

inlinestatic

Definition at line 248 of file slim.cpp.

References BLI_assert, slim::SLIMData::Dx, slim::SLIMData::Dy, slim::SLIMData::Ji, slim::SLIMData::valid, and slim::SLIMData::weightPerFaceMap.

Referenced by compute_jacobians().

computeGlobalScaleInvarianceFactor()

double slim::computeGlobalScaleInvarianceFactor ( Eigen::VectorXd & singularValues, Eigen::VectorXd & areas )

inline

Definition at line 710 of file slim.cpp.

References b, sqrt, and x.

Referenced by slim_solve().

convex_border_parameterization()

void slim::convex_border_parameterization	(	const Eigen::MatrixXi &	f,
		const Eigen::MatrixXd &	v,
		const Eigen::MatrixXi &	e,
		const Eigen::VectorXd &	el,
		const Eigen::VectorXi &	bnd,
		const Eigen::MatrixXd &	bnd_uv,
		Eigen::MatrixXd &	uv,
		Method	method )

Definition at line 93 of file uv_initializer.cpp.

References b, e, find_vertex_to_its_angles_correspondence(), find_vertex_to_opposite_angles_correspondence(), HARMONIC, i, MVC, tan, TUTTE, v, and z().

Referenced by harmonic(), mvc(), and tutte().

correct_geometry_size()

void slim::correct_geometry_size ( double surface_area_to_map_area_ratio, MatrixXd & vertex_positions, double desired_surface_area_to_map_ration )

static

Definition at line 21 of file area_compensation.cpp.

References BLI_assert, and sqrt.

Referenced by correct_map_surface_area_if_necessary(), and correct_mesh_surface_area_if_necessary().

correct_map_surface_area_if_necessary()

void slim::correct_map_surface_area_if_necessary

(

SLIMData &

slim_data

)

Definition at line 39 of file area_compensation.cpp.

References slim::SLIMData::b, compute_surface_area(), correct_geometry_size(), slim::SLIMData::expectedSurfaceAreaOfResultingMap, slim::SLIMData::F, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by slim::MatrixTransfer::parametrize(), slim::MatrixTransfer::parametrize_live(), and slim::MatrixTransferChart::transfer_uvs_blended().

correct_mesh_surface_area_if_necessary()

void slim::correct_mesh_surface_area_if_necessary

(

SLIMData &

slim_data

)

Definition at line 65 of file area_compensation.cpp.

References slim::SLIMData::b, BLI_assert, compute_surface_area(), correct_geometry_size(), slim::SLIMData::expectedSurfaceAreaOfResultingMap, slim::SLIMData::F, slim::SLIMData::skipInitialization, slim::SLIMData::V, slim::SLIMData::V_o, and slim::SLIMData::valid.

Referenced by slim::GeometryData::construct_slim_data().

cotmatrix()

template<typename DerivedV, typename DerivedF, typename Scalar>

void slim::cotmatrix ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::SparseMatrix< Scalar > & L )

inline

Definition at line 57 of file cotmatrix.cpp.

References assert, C, cotmatrix_entries(), e, F, i, L, and V.

cotmatrix_entries()

template<typename DerivedV, typename DerivedF, typename DerivedC>

void slim::cotmatrix_entries ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::PlainObjectBase< DerivedC > & C )

inlinestatic

Definition at line 24 of file cotmatrix.cpp.

References assert, C, doublearea(), F, i, l, squared_edge_lengths(), and V.

Referenced by cotmatrix().

count_flips()

int slim::count_flips	(	const Eigen::MatrixXi &	f,
		const Eigen::MatrixXd &	uv )

Definition at line 284 of file uv_initializer.cpp.

References get_flips().

create_weights_per_face()

void slim::create_weights_per_face ( SLIMData & slim_data )

static

Definition at line 55 of file geometry_data_retrieval.cpp.

References slim::SLIMData::F, slim::SLIMData::valid, slim::SLIMData::weightInfluence, slim::SLIMData::weightmap, slim::SLIMData::weightPerFaceMap, and slim::SLIMData::withWeightedParameterization.

doublearea() [1/2]

template<typename Derivedl, typename DeriveddblA>

void slim::doublearea ( const Eigen::PlainObjectBase< Derivedl > & ul, Eigen::PlainObjectBase< DeriveddblA > & dblA )

inline

Definition at line 163 of file doublearea.cpp.

References assert, doublearea_sort3(), i, l, blender::threading::parallel_for(), and sqrt.

doublearea() [2/2]

template<typename DerivedV, typename DerivedF, typename DeriveddblA>

void slim::doublearea ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::PlainObjectBase< DeriveddblA > & dblA )

inline

Definition at line 116 of file doublearea.cpp.

References assert, doublearea(), edge_lengths(), F, l, V, x, and y.

Referenced by compute_surface_area(), cotmatrix_entries(), doublearea(), and slim_precompute().

doublearea_sort3()

template<typename DerivedX, typename DerivedY, typename DerivedIX>

void slim::doublearea_sort3 ( const Eigen::PlainObjectBase< DerivedX > & X, const int dim, const bool ascending, Eigen::PlainObjectBase< DerivedY > & Y, Eigen::PlainObjectBase< DerivedIX > & IX )

inlinestatic

Definition at line 36 of file doublearea.cpp.

References assert, b, cast, i, blender::threading::parallel_for(), X, and Y.

Referenced by doublearea().

edge_lengths()

template<typename DerivedV, typename DerivedF, typename DerivedL>

void slim::edge_lengths ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::PlainObjectBase< DerivedL > & L )

inline

Definition at line 17 of file edge_lengths.cpp.

References F, L, squared_edge_lengths(), and V.

Referenced by doublearea().

find_vertex_to_its_angles_correspondence()

void slim::find_vertex_to_its_angles_correspondence ( const Eigen::MatrixXi & f, const Eigen::MatrixXd & v, Eigen::SparseMatrix< double > & vertex_to_face_indices )

static

Definition at line 56 of file uv_initializer.cpp.

References compute_angle(), i, and v.

Referenced by convex_border_parameterization().

find_vertex_to_opposite_angles_correspondence()

void slim::find_vertex_to_opposite_angles_correspondence ( const Eigen::MatrixXi & f, const Eigen::MatrixXd & v, Eigen::SparseMatrix< double > & vertex_to_face_indices )

static

Definition at line 22 of file uv_initializer.cpp.

References compute_angle(), i, and v.

Referenced by convex_border_parameterization().

flip_avoiding_line_search()

double slim::flip_avoiding_line_search ( const Eigen::MatrixXi F, Eigen::MatrixXd & cur_v, Eigen::MatrixXd & dst_v, std::function< double(Eigen::MatrixXd &)> energy, double cur_energy )

inline

Definition at line 150 of file flip_avoiding_line_search.cpp.

References compute_max_step_from_singularities(), F, line_search(), and min.

Referenced by slim_solve().

flip_input_geometry()

void slim::flip_input_geometry ( SLIMData & slim_data )

static

Definition at line 52 of file least_squares_relocator.cpp.

References BLI_assert, slim::SLIMData::F, and slim::SLIMData::valid.

Referenced by comput_least_squares_rotation_scale_only().

get_flips()

void slim::get_flips ( const Eigen::MatrixXi & f, const Eigen::MatrixXd & uv, std::vector< int > & flip_idx )

static

Definition at line 261 of file uv_initializer.cpp.

References assert, and i.

Referenced by count_flips().

get_interactive_result_blended_with_original()

Eigen::MatrixXd slim::get_interactive_result_blended_with_original ( float blend, const SLIMData & slim_data )

static

Definition at line 39 of file slim_parametrizer.cpp.

References blend(), slim::SLIMData::oldUVs, and slim::SLIMData::V_o.

Referenced by slim::MatrixTransferChart::transfer_uvs_blended().

get_min_pos_root_2D()

double slim::get_min_pos_root_2D ( const Eigen::MatrixXd & uv, const Eigen::MatrixXi & F, Eigen::MatrixXd & d, int f )

inlinestatic

Definition at line 102 of file flip_avoiding_line_search.cpp.

References b, F, get_smallest_pos_quad_zero(), and v2.

Referenced by compute_max_step_from_singularities().

get_smallest_pos_quad_zero()

double slim::get_smallest_pos_quad_zero ( double a, double b, double c )

inlinestatic

Definition at line 65 of file flip_avoiding_line_search.cpp.

References b, max, min, pow, and sqrt.

Referenced by get_min_pos_root_2D().

grad()

template<typename DerivedV, typename DerivedF>

void slim::grad ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::SparseMatrix< typename DerivedV::Scalar > & G, bool uniform = false )

inlinestatic

Definition at line 47 of file slim.cpp.

References F, G, i, M_PI, sin, sqrt, V, and v2.

Referenced by compute_surface_gradient_matrix().

harmonic() [1/2]

void slim::harmonic	(	const Eigen::MatrixXd &	v,
		const Eigen::MatrixXi &	f,
		const Eigen::MatrixXi &	B,
		const Eigen::MatrixXd &	bnd_uv,
		int	power_of_harmonic_operaton,
		Eigen::MatrixXd &	UV )

References B, and v.

harmonic() [2/2]

void slim::harmonic	(	const Eigen::MatrixXi &	f,
		const Eigen::MatrixXd &	v,
		const Eigen::MatrixXi &	e,
		const Eigen::VectorXd &	el,
		const Eigen::VectorXi &	bnd,
		const Eigen::MatrixXd &	bnd_uv,
		Eigen::MatrixXd &	uv )

Definition at line 222 of file uv_initializer.cpp.

References convex_border_parameterization(), e, HARMONIC, and v.

is_translation_needed()

bool slim::is_translation_needed ( const SLIMData & slim_data )

static

Definition at line 222 of file least_squares_relocator.cpp.

References slim::SLIMData::b, BLI_assert, slim::SLIMData::skipInitialization, and slim::SLIMData::valid.

Referenced by transform_initialization_if_necessary().

line_search()

double slim::line_search ( Eigen::MatrixXd & x, const Eigen::MatrixXd & d, double step_size, std::function< double(Eigen::MatrixXd &)> energy, double cur_energy = -1 )

inlinestatic

Definition at line 32 of file flip_avoiding_line_search.cpp.

References x.

Referenced by flip_avoiding_line_search().

local_basis()

template<typename DerivedV, typename DerivedF>

void slim::local_basis ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::PlainObjectBase< DerivedV > & B1, Eigen::PlainObjectBase< DerivedV > & B2, Eigen::PlainObjectBase< DerivedV > & B3 )

inlinestatic

Definition at line 401 of file slim.cpp.

References F, i, V, and v2.

Referenced by pre_calc().

map_vertices_to_convex_border()

void slim::map_vertices_to_convex_border

(

Eigen::MatrixXd &

vertex_positions

)

Definition at line 246 of file uv_initializer.cpp.

References angle(), atan, cos, i, sin, x, and y.

mvc()

void slim::mvc	(	const Eigen::MatrixXi &	f,
		const Eigen::MatrixXd &	v,
		const Eigen::MatrixXi &	e,
		const Eigen::VectorXd &	el,
		const Eigen::VectorXi &	bnd,
		const Eigen::MatrixXd &	bnd_uv,
		Eigen::MatrixXd &	uv )

Definition at line 210 of file uv_initializer.cpp.

References convex_border_parameterization(), e, MVC, and v.

polar_svd()

template<typename DerivedA, typename DerivedR, typename DerivedT, typename DerivedU, typename DerivedS, typename DerivedV>

void slim::polar_svd ( const Eigen::PlainObjectBase< DerivedA > & A, Eigen::PlainObjectBase< DerivedR > & R, Eigen::PlainObjectBase< DerivedT > & T, Eigen::PlainObjectBase< DerivedU > & U, Eigen::PlainObjectBase< DerivedS > & S, Eigen::PlainObjectBase< DerivedV > & V )

inlinestatic

Definition at line 203 of file slim.cpp.

References A, R, T, U, V, and W.

Referenced by compute_energy_with_jacobians(), and update_weights_and_closest_rotations().

pre_calc()

void slim::pre_calc ( SLIMData & s )

inlinestatic

Definition at line 426 of file slim.cpp.

References BLI_assert, compute_surface_gradient_matrix(), slim::SLIMData::dim, slim::SLIMData::Dx, slim::SLIMData::Dy, slim::SLIMData::Dz, slim::SLIMData::F, slim::SLIMData::f_n, slim::SLIMData::f_num, slim::SLIMData::first_solve, slim::SLIMData::has_pre_calc, i, slim::SLIMData::Ji, local_basis(), slim::SLIMData::M, slim::SLIMData::rhs, slim::SLIMData::Ri, slim::SLIMData::V, slim::SLIMData::v_n, slim::SLIMData::v_num, slim::SLIMData::valid, slim::SLIMData::W_11, slim::SLIMData::W_12, slim::SLIMData::W_21, slim::SLIMData::W_22, and slim::SLIMData::WGL_M.

Referenced by slim_precompute().

retrieve_positions_of_pinned_vertices_in_initialization()

void slim::retrieve_positions_of_pinned_vertices_in_initialization ( const MatrixXd & all_uv_positions_in_initialization, const VectorXi & indices_of_pinned_vertices, MatrixXd & position_of_pinned_vertices_in_initialization )

static

Definition at line 39 of file least_squares_relocator.cpp.

References i.

Referenced by comput_least_squares_rotation_scale_only().

slim_precompute()

void slim::slim_precompute	(	Eigen::MatrixXd &	V,
		Eigen::MatrixXi &	F,
		Eigen::MatrixXd &	V_init,
		SLIMData &	data,
		SLIMData::SLIM_ENERGY	slim_energy,
		Eigen::VectorXi &	b,
		Eigen::MatrixXd &	bc,
		double	soft_p )

Definition at line 669 of file slim.cpp.

References assert, b, BLI_assert, compute_energy(), data, doublearea(), F, pre_calc(), and V.

Referenced by slim::GeometryData::construct_slim_data().

slim_solve()

Eigen::MatrixXd slim::slim_solve	(	SLIMData &	data,
		int	iter_num )

Definition at line 787 of file slim.cpp.

References BLI_assert, compute_energy(), computeGlobalScaleInvarianceFactor(), data, flip_avoiding_line_search(), i, solve_weighted_arap(), and update_weights_and_closest_rotations().

Referenced by slim::MatrixTransferChart::try_slim_solve().

solve_weighted_arap()

void slim::solve_weighted_arap ( SLIMData & s, Eigen::MatrixXd & uv )

inlinestatic

Definition at line 763 of file slim.cpp.

References BLI_assert, build_linear_system(), slim::SLIMData::dim, i, L, slim::SLIMData::rhs, slim::SLIMData::v_n, and slim::SLIMData::valid.

Referenced by slim_solve().

squared_edge_lengths()

template<typename DerivedV, typename DerivedF, typename DerivedL>

void slim::squared_edge_lengths ( const Eigen::PlainObjectBase< DerivedV > & V, const Eigen::PlainObjectBase< DerivedF > & F, Eigen::PlainObjectBase< DerivedL > & L )

inline

Definition at line 26 of file edge_lengths.cpp.

References assert, F, i, L, blender::threading::parallel_for(), and V.

Referenced by cotmatrix_entries(), and edge_lengths().

transfer_uvs_back_to_native_part()

void slim::transfer_uvs_back_to_native_part ( MatrixTransferChart & chart, Eigen::MatrixXd & uv )

static

Definition at line 24 of file slim_parametrizer.cpp.

References i, slim::MatrixTransferChart::succeeded, slim::MatrixTransferChart::uv_matrices, and slim::MatrixTransferChart::verts_num.

Referenced by slim::MatrixTransfer::parametrize(), slim::MatrixTransfer::parametrize_live(), and slim::MatrixTransferChart::transfer_uvs_blended().

transform_initialization_if_necessary()

void slim::transform_initialization_if_necessary

(

SLIMData &

slim_data

)

Definition at line 230 of file least_squares_relocator.cpp.

References BLI_assert, is_translation_needed(), transform_initialized_map(), and slim::SLIMData::valid.

Referenced by slim::GeometryData::construct_slim_data().

transform_initialized_map()

void slim::transform_initialized_map ( SLIMData & slim_data )

static

Definition at line 187 of file least_squares_relocator.cpp.

References apply_transformation(), apply_translation(), slim::SLIMData::b, BLI_assert, comput_least_squares_rotation_scale_only(), compute_transformation_matrix2_pins(), compute_translation1_pin(), slim::SLIMData::reflection_mode, and slim::SLIMData::valid.

Referenced by transform_initialization_if_necessary().

tutte()

void slim::tutte	(	const Eigen::MatrixXi &	f,
		const Eigen::MatrixXd &	v,
		const Eigen::MatrixXi &	e,
		const Eigen::VectorXd &	el,
		const Eigen::VectorXi &	bnd,
		const Eigen::MatrixXd &	bnd_uv,
		Eigen::MatrixXd &	uv )

Definition at line 234 of file uv_initializer.cpp.

References convex_border_parameterization(), e, TUTTE, and v.

update_weights_and_closest_rotations()

void slim::update_weights_and_closest_rotations ( SLIMData & s, Eigen::MatrixXd & uv )

inlinestatic

Definition at line 289 of file slim.cpp.

References slim::SLIMData::ARAP, BLI_assert, compute_jacobians(), slim::SLIMData::CONFORMAL, e, eps, exp, slim::SLIMData::EXP_CONFORMAL, slim::SLIMData::exp_factor, slim::SLIMData::EXP_SYMMETRIC_DIRICHLET, i, slim::SLIMData::Ji, log, slim::SLIMData::LOG_ARAP, polar_svd(), pow, slim::SLIMData::Ri, slim::SLIMData::slim_energy, sqrt, slim::SLIMData::SYMMETRIC_DIRICHLET, slim::SLIMData::valid, slim::SLIMData::W_11, slim::SLIMData::W_12, slim::SLIMData::W_21, and slim::SLIMData::W_22.

Referenced by slim_solve().