HighMap library (C++)
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gradient.hpp
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1/* Copyright (c) 2023 Otto Link. Distributed under the terms of the GNU General
2 Public License. The full license is in the file LICENSE, distributed with
3 this software. */
4
16#pragma once
17
18#include "highmap/array.hpp"
19#include "highmap/tensor.hpp"
20
21namespace hmap
22{
23
50Array divergence_from_gradients(const Array &dx, const Array &dy);
51
61std::vector<float> gradient1d(const std::vector<float> &v);
62
81Array gradient_angle(const Array &array, bool downward = false);
82
117Array gradient_angle_circular_smoothing(const Array &array,
118 int ir,
119 bool downward = false);
120
141Array gradient_norm(const Array &array,
142 Array *p_dx = nullptr,
143 Array *p_dy = nullptr);
144
165Array gradient_norm_prewitt(const Array &array,
166 Array *p_dx = nullptr,
167 Array *p_dy = nullptr);
168
183Array gradient_norm_scharr(const Array &array,
184 Array *p_dx = nullptr,
185 Array *p_dy = nullptr);
186
201Array gradient_norm_sobel(const Array &array,
202 Array *p_dx = nullptr,
203 Array *p_dy = nullptr);
204
217Array gradient_talus(const Array &array);
218
228void gradient_talus(const Array &array, Array &talus);
229
239Array gradient_x(const Array &array);
240
251void gradient_x(const Array &array, Array &dx);
252
262Array gradient_y(const Array &array);
263
274void gradient_y(const Array &array, Array &dy);
275
285Array laplacian(const Array &array);
286
300Tensor normal_map(const Array &array);
301
329Array normal_map_to_heightmap(const Tensor &nmap);
330
331Array normal_map_to_heightmap_poisson(const Tensor &nmap,
332 int iterations = 500,
333 float omega = 1.5f);
334
354void solve_poisson_gauss_seidel(const Array &rhs,
355 Array &h,
356 int iterations = 500,
357 float omega = 1.0f);
358
375Array unwrap_phase(const Array &alpha);
376
377Array talus_jump_mask(const Array &z, float threshold, float sigma);
378
379} // namespace hmap
380
381namespace hmap::gpu
382{
383
390void phase_averaging(Array &field_real, Array &field_imag, int ir);
391
417Array phase_field(const Array &array,
418 const glm::vec2 &kw,
419 uint seed,
420 float kp,
421 bool rotate90 = false,
422 int n_kernel_samples = 8,
423 const glm::vec2 &jitter = {0.5f, 0.5f},
424 int angle_filter_ir = 8,
425 const Array *p_ctrl_param = nullptr,
426 const Array *p_noise_x = nullptr,
427 const Array *p_noise_y = nullptr,
428 Array *p_modulus = nullptr,
429 Array *p_angle_jump_mask = nullptr,
430 glm::vec4 bbox = {0.f, 1.f, 0.f, 1.f});
431
455Array phase_field(const Array &array,
456 uint seed,
457 float kp_global,
458 bool rotate90 = false,
459 int n_kernel_samples = 8,
460 const glm::vec2 &jitter = {0.5f, 0.5f},
461 int angle_filter_ir = 8,
462 const Array *p_ctrl_param = nullptr,
463 const Array *p_noise_x = nullptr,
464 const Array *p_noise_y = nullptr,
465 Array *p_modulus = nullptr,
466 Array *p_angle_jump_mask = nullptr,
467 glm::vec4 bbox = {0.f, 1.f, 0.f, 1.f});
468
469Array phase_field_angle(const Array &angle, // rads
470 const glm::vec2 &kw,
471 uint seed,
472 float kp,
473 int n_kernel_samples = 8,
474 const glm::vec2 &jitter = {0.5f, 0.5f},
475 int angle_filter_ir = 8,
476 const Array *p_ctrl_param = nullptr,
477 const Array *p_noise_x = nullptr,
478 const Array *p_noise_y = nullptr,
479 Array *p_modulus = nullptr,
480 Array *p_angle_jump_mask = nullptr,
481 glm::vec4 bbox = {0.f, 1.f, 0.f, 1.f});
482
484Array gradient_angle_circular_smoothing(const Array &array,
485 int ir,
486 bool downward = false);
487
489Array gradient_norm(const Array &array);
490
491} // namespace hmap::gpu
Declaration of the Array class for 2D floating-point arrays with various mathematical operations and ...
unsigned int uint
Definition array.hpp:14
Definition blending.hpp:186
Array phase_field(const Array &array, const glm::vec2 &kw, uint seed, float kp, bool rotate90=false, int n_kernel_samples=8, const glm::vec2 &jitter={0.5f, 0.5f}, int angle_filter_ir=8, const Array *p_ctrl_param=nullptr, const Array *p_noise_x=nullptr, const Array *p_noise_y=nullptr, Array *p_modulus=nullptr, Array *p_angle_jump_mask=nullptr, glm::vec4 bbox={0.f, 1.f, 0.f, 1.f})
Compute a phase field from an input array using local orientation and noise.
Definition phase_field.cpp:40
Array gradient_norm(const Array &array)
See hmap::gradient_norm.
Definition gradient_gpu.cpp:46
void phase_averaging(Array &field_real, Array &field_imag, int ir)
Apply phase averaging on real and imaginary fields using a GPU kernel.
Definition phase_field.cpp:17
Array gradient_angle_circular_smoothing(const Array &array, int ir, bool downward=false)
See hmap::gradient_angle_circular_smoothing.
Definition gradient_gpu.cpp:13
Array phase_field_angle(const Array &angle, const glm::vec2 &kw, uint seed, float kp, int n_kernel_samples=8, const glm::vec2 &jitter={0.5f, 0.5f}, int angle_filter_ir=8, const Array *p_ctrl_param=nullptr, const Array *p_noise_x=nullptr, const Array *p_noise_y=nullptr, Array *p_modulus=nullptr, Array *p_angle_jump_mask=nullptr, glm::vec4 bbox={0.f, 1.f, 0.f, 1.f})
Definition phase_field.cpp:140
Definition algebra.hpp:23
void solve_poisson_gauss_seidel(const Array &rhs, Array &h, int iterations=500, float omega=1.0f)
Solve the Poisson equation ∇²h = rhs using Gauss–Seidel iteration.
Definition solve_poisson_gauss_seidel.cpp:9
Array gradient_x(const Array &array)
Compute the gradient in the x-direction of a 2D array.
Definition gradient.cpp:173
Array talus_jump_mask(const Array &z, float threshold, float sigma)
Definition gradient.cpp:256
Array normal_map_to_heightmap(const Tensor &nmap)
Converts a normal map to a heightmap using direct summation of gradients.
Definition normal_map.cpp:32
Array divergence_from_gradients(const Array &dx, const Array &dy)
Compute the divergence of a 2D gradient field.
Definition gradient.cpp:61
Array unwrap_phase(const Array &alpha)
Unwraps a 2D phase array to correct discontinuities in phase data.
Definition unwrap_phase.cpp:14
Array gradient_norm_scharr(const Array &array, Array *p_dx=nullptr, Array *p_dy=nullptr)
Compute the gradient norm of a 2D array using the Scharr filter.
Definition gradient.cpp:161
Array normal_map_to_heightmap_poisson(const Tensor &nmap, int iterations=500, float omega=1.5f)
Definition normal_map.cpp:65
Array gradient_angle_circular_smoothing(const Array &array, int ir, bool downward=false)
Computes a smoothed gradient angle (aspect) field with circular unwrapping.
Definition gradient.cpp:89
Array gradient_norm(const Array &array, Array *p_dx=nullptr, Array *p_dy=nullptr)
Compute the gradient norm of a 2D array.
Definition gradient.cpp:122
Array gradient_talus(const Array &array)
Compute the gradient talus slope of a 2D array.
Definition gradient.cpp:215
Array laplacian(const Array &array)
Compute the Laplacian of a 2D array.
Definition gradient.cpp:243
Array gradient_y(const Array &array)
Compute the gradient in the y-direction of a 2D array.
Definition gradient.cpp:194
float angle(const Point &p1, const Point &p2)
Computes the angle between two points relative to the x-axis.
Definition points.cpp:42
Array gradient_norm_prewitt(const Array &array, Array *p_dx=nullptr, Array *p_dy=nullptr)
Compute the gradient norm of a 2D array using the Prewitt filter.
Definition gradient.cpp:135
std::vector< float > gradient1d(const std::vector< float > &v)
Compute the gradient of a 1D vector.
Definition vector.cpp:17
Array gradient_norm_sobel(const Array &array, Array *p_dx=nullptr, Array *p_dy=nullptr)
Compute the gradient norm of a 2D array using the Sobel filter.
Definition gradient.cpp:148
Array gradient_angle(const Array &array, bool downward=false)
Compute the polar angle of the gradient of a 2D array.
Definition gradient.cpp:68
Tensor normal_map(const Array &array)
Generates a normal map from a given 2D array.
Definition normal_map.cpp:12
Header file for the Tensor class.