Skip to main content Module geometry Copy item path Source Expand description Geometry utilities
§ Geometric primitivesdistance Nearest point and distance routines intersect Primitive intersection routines mesh Mesh types primitive Affine, convex, and combinatorial spaces shape 3D volumetric forms Aabb2 2D axis-aligned bounding box. Aabb3 3D axis-aligned bounding box. Capsule3 3D Z-axis-aligned capsule Cone3 3D Z-axis-aligned cone Cylinder3 3D Z-axis-aligned cylinder Distance3 Hull2 2D convex hull Hull3 3D convex hull Interval 1D interval. Points are allowed to be equal. Line2 An infinitely extended line in 2D space defined by a base point and normalized
direction Line3 An infinitely extended line in 3D space defined by a base point and normalized
direction Obb2 2D oriented bounding box Obb3 3D oriented bounding box Plane3 A plane in 3D space defined by a base point and (unit) normal vector Ray2 An infinitely extended ray in 2D space defined by a base point and normalized
direction Ray3 An infinitely extended ray in 3D space defined by a base point and normalized
direction Segment2 A 1-simplex or line segment in 2D space. Segment3 A 1-simplex or line segment in 3D space. Sphere2 Sphere in 2D space (a circle) Sphere3 Sphere in 3D space Tetrahedron3 A 3-simplex or tetrahedron in 3D space Triangle2 A 2-simplex or triangle in 2D space Triangle3 A 2-simplex or triangle in 3D space Simplex2 A $n<3$-simplex in 2-dimensional space. Simplex3 A $n<4$-simplex in 3-dimensional space. Primitive Geometric primitives generic over dimension Shape A trait for bounded and unbounded shapes. colinear_2 Returns true when three points lie on the same line in 2D space. colinear_3 Returns true when three points lie on the same line in 3D space. colinear_2_epsilon colinear_3_epsilon coplanar_3 Returns true when four points lie on the same plane in 3D space. coplanar_3_epsilon determinant_3 Computes the determinant of a matrix formed by the three points as columns orthonormal_basis Create an orthonormal basis given the first basis component plane_side_3 Return a signum indicating which side of the triangle ABC that point D lies on,
where +1 indicates that D lies on the side that the normal $(B - A) \times (C - A)$
points to, -1 if D lies on the opposite side, and 0 if D lies on the plane ABC,
within tolerance plane_side_3_epsilon point2_max Coordinate-wise max point2_min Coordinate-wise min point3_max Coordinate-wise max point3_min Coordinate-wise min project_point2_on_line2 Given a 2D point and a 2D line, returns the nearest point on the line to the given
point project_point3_on_line3 Given a 3D point and a 3D line, returns the nearest point on the line to the given
point project_point3_on_plane3 Given a 3D point and a 3D plane, returns the nearest point on the plane to the given
point support_2 Returns point furthest along given direction together with dot product with the
direction vector support_3 Returns point furthest along given direction together with dot product with the
direction vector triangle_3d_area_squared Square area of three points in 3D space. Line2Point A parameterized point on a 2D line Line3Point A parameterized point on a 3D line Ray2Point A parameterized point on a 2D ray Ray3Point A parameterized point on a 3D ray Segment2Point Parameterized point on a 2D segment Segment3Point Parameterized point on a 3D segment Tetrahedron3Point Parameterized point on a 3D tetrahedron Triangle2Point Parameterized point on a 2D triangle Triangle3Point Parameterized point on a 3D triangle