1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227
|
/************************************************************************
*
* Copyright (C) 2025 IRCAD France
*
* This file is part of Sight.
*
* Sight is free software: you can redistribute it and/or modify it under
* the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* Sight is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with Sight. If not, see <https://www.gnu.org/licenses/>.
*
***********************************************************************/
#include "geometry/__/plane.hpp"
#include <glm/ext.hpp>
#include <glm/glm.hpp>
#define GLM_ENABLE_EXPERIMENTAL
#include <glm/gtx/vec_swizzle.hpp>
#undef GLM_ENABLE_EXPERIMENTAL
static constexpr double EPSILON = 1.0E-8;
namespace sight::geometry
{
//------------------------------------------------------------------------------
plane_t get_plane(const glm::dvec3& _point1, const glm::dvec3& _point2, const glm::dvec3& _point3)
{
plane_t plane;
set_plane(plane, _point1, _point2, _point3);
return plane;
}
//------------------------------------------------------------------------------
void set_plane(plane_t& _plane, const glm::dvec3& _point1, const glm::dvec3& _point2, const glm::dvec3& _point3)
{
glm::dvec3 p1(_point1[0], _point1[1], _point1[2]);
glm::dvec3 p2(_point2[0], _point2[1], _point2[2]);
glm::dvec3 p3(_point3[0], _point3[1], _point3[2]);
glm::dvec3 normal = glm::cross(p2 - p1, p3 - p1);
if(glm::length(normal) <= 0.0)
{
normal[0] = 0.0;
normal[1] = 0.0;
normal[2] = 1.0;
}
normal = glm::normalize(normal);
double distance = glm::dot(normal, p1);
_plane[0] = normal[0];
_plane[1] = normal[1];
_plane[2] = normal[2];
_plane[3] = distance;
}
//------------------------------------------------------------------------------
glm::dvec3 get_normal(const plane_t& _plane)
{
return glm::xyz(_plane);
}
//------------------------------------------------------------------------------
void set_normal(plane_t& _plane, const glm::dvec3& _normal)
{
glm::dvec3 vec_normal(_normal[0], _normal[1], _normal[2]);
vec_normal = glm::normalize(vec_normal);
_plane[0] = vec_normal[0];
_plane[1] = vec_normal[1];
_plane[2] = vec_normal[2];
}
//------------------------------------------------------------------------------
double get_distance(const plane_t& _plane)
{
return _plane[3];
}
//------------------------------------------------------------------------------
void set_distance(plane_t& _plane, const double _distance)
{
_plane[3] = _distance;
}
//------------------------------------------------------------------------------
std::optional<glm::dvec3> intersect(const plane_t& _plane, const line_t& _line)
{
const glm::dvec3 normal(_plane[0], _plane[1], _plane[2]);
const glm::dvec3 line_direction = glm::normalize((_line.second - _line.first));
const double d = glm::dot(line_direction, normal);
if(std::abs(d) < EPSILON)
{
return {};
}
const double intersection_distance = (_plane[3] - glm::dot(normal, _line.first)) / d;
const glm::dvec3 intersection = _line.first + line_direction * intersection_distance;
return intersection;
}
//------------------------------------------------------------------------------
std::optional<glm::dvec3> intersect_ray(const plane_t& _plane, const ray_t& _ray)
{
glm::dvec3 normal(_plane[0], _plane[1], _plane[2]);
const double d = glm::dot(_ray.second, normal);
if(std::abs(d) < EPSILON)
{
return {};
}
const double intersection_distance = (_plane[3] - glm::dot(normal, _ray.first)) / d;
const glm::dvec3 intersection = _ray.first + _ray.second * intersection_distance;
return intersection;
}
//------------------------------------------------------------------------------
bool is_in_half_space(const plane_t& _plane, const glm::dvec3& _point)
{
glm::dvec3 point_glm(_point[0], _point[1], _point[2]);
glm::dvec3 normal(_plane[0], _plane[1], _plane[2]);
normal = glm::normalize(normal);
glm::dvec3 pos = normal * _plane[3];
return glm::dot(normal, point_glm - pos) >= 0.0;
}
//------------------------------------------------------------------------------
void transform(plane_t& _plane, const glm::dmat4& _matrix)
{
glm::dvec3 normal(_plane[0], _plane[1], _plane[2]);
glm::dvec3 beg(normal * _plane[3]);
glm::dvec3 end(beg + normal);
glm::dvec4 beg4(beg, 1.0);
glm::dvec4 end4(end, 1.0);
beg4 = beg4 * _matrix;
end4 = end4 * _matrix;
end[0] = end4[0];
end[1] = end4[1];
end[2] = end4[2];
beg[0] = beg4[0];
beg[1] = beg4[1];
beg[2] = beg4[2];
normal = end - beg;
normal = glm::normalize(normal);
_plane[0] = normal[0];
_plane[1] = normal[1];
_plane[2] = normal[2];
_plane[3] = glm::dot(normal, beg);
}
//------------------------------------------------------------------------------
void offset(plane_t& _plane, double _offset)
{
double distance = get_distance(_plane);
distance += _offset;
set_distance(_plane, distance);
}
//------------------------------------------------------------------------------
plane_t get_plane(const glm::dvec3& _normal, const glm::dvec3& _point)
{
glm::dvec3 point_glm(_point[0], _point[1], _point[2]);
glm::dvec3 normal_glm(_normal[0], _normal[1], _normal[2]);
normal_glm = glm::normalize(normal_glm);
plane_t plane;
plane[0] = normal_glm[0];
plane[1] = normal_glm[1];
plane[2] = normal_glm[2];
plane[3] = glm::dot(normal_glm, point_glm);
return plane;
}
} // namespace sight::geometry
//------------------------------------------------------------------------------
bool operator==(sight::geometry::plane_t& _plane1, sight::geometry::plane_t& _plane2)
{
glm::dvec4 pl1(_plane1[0], _plane1[1], _plane1[2], _plane1[3]);
glm::dvec4 pl2(_plane2[0], _plane2[1], _plane2[2], _plane2[3]);
double dx = pl1[0] - pl2[0];
double dy = pl1[1] - pl2[1];
double dz = pl1[2] - pl2[2];
double dd = pl1[3] - pl2[3];
return std::abs(dx) < EPSILON
&& std::abs(dy) < EPSILON
&& std::abs(dz) < EPSILON
&& std::abs(dd) < EPSILON;
}
//------------------------------------------------------------------------------
|