polyhedra

Algorithm for checking if 3D point inside convex polyhedron (square pyramid)

由 泄露秘密 提交于 2019-12-19 11:56:11
问题 I am looking robust collision detection algorithms and found an awesome book called Realtime Collision Detection by Christer Ericson. I am trying to use a particular algorithm which checks whether a given point is inside convex polyhedron (in 3D space these are the square pyramid, cube and tetrahedron (aka pyramid with all sides being a triangle)). In my case I have a square pyramid. The validation of the point is done by using the intersection volume for a given number of halfspaces and

Algorithm for checking if 3D point inside convex polyhedron (square pyramid)

由 送分小仙女□ 提交于 2019-12-19 11:55:57
问题 I am looking robust collision detection algorithms and found an awesome book called Realtime Collision Detection by Christer Ericson. I am trying to use a particular algorithm which checks whether a given point is inside convex polyhedron (in 3D space these are the square pyramid, cube and tetrahedron (aka pyramid with all sides being a triangle)). In my case I have a square pyramid. The validation of the point is done by using the intersection volume for a given number of halfspaces and

Parma Polyhedra Library: Vertex Enumeration

由 梦想的初衷 提交于 2019-12-07 20:01:33
问题 I'm trying to use the Parma Polyhedra Library [1] to enumerate the vertices of a (convex) polytope, e.g., I have a rectangle specified by four constraints: Constraint_System cs; cs.insert(x >= 0); cs.insert(x <= 3); cs.insert(y >= 0); cs.insert(y <= 3); C_Polyhedron ph(cs); How do I generate the vertices? 回答1: Each shape in PPL has dual representations: 1) Constraint_System, 2) Generator_System. For a convex-polyhedra, the generator system will contain the set of generators which can either

calculating outward normal of a non-convex polyhedral

由 孤者浪人 提交于 2019-12-07 16:51:50
问题 If all nodes of a polyhedron (may be non-convex) and their coordinates are known, the points of a face are given in order (anti-clockwise or clockwise around the outward normal), how do I obtain the outward normal vector of each face? Here is a method for convex polyhedron: Computing face normals and winding How about a general polyhedron that could be non-convex? 回答1: Here is one method. Fix the orientation of one face F0 of your polyhedron P . You don't yet know if this is counterclockwise

Parma Polyhedra Library: Vertex Enumeration

由 佐手、 提交于 2019-12-06 06:59:47
I'm trying to use the Parma Polyhedra Library [1] to enumerate the vertices of a (convex) polytope, e.g., I have a rectangle specified by four constraints: Constraint_System cs; cs.insert(x >= 0); cs.insert(x <= 3); cs.insert(y >= 0); cs.insert(y <= 3); C_Polyhedron ph(cs); How do I generate the vertices? Each shape in PPL has dual representations: 1) Constraint_System, 2) Generator_System. For a convex-polyhedra, the generator system will contain the set of generators which can either be 1) Point, 2) Line, 3) Rays. For the convex polytope, the set of generators would be all points. you can

Determining if a point is inside a polyhedron

由 别说谁变了你拦得住时间么 提交于 2019-12-05 01:37:28
问题 I'm attempting to determine if a specific point lies inside a polyhedron. In my current implementation, the method I'm working on take the point we're looking for an array of the faces of the polyhedron (triangles in this case, but it could be other polygons later). I've been trying to work from the info found here: http://softsurfer.com/Archive/algorithm_0111/algorithm_0111.htm Below, you'll see my "inside" method. I know that the nrml/normal thing is kind of weird .. it's the result of old
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