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Plücker coordinates - Wikipedia
https://en.wikipedia.org/wiki/Pl%C3%BCcker_coordinates
RCS prediction using fast ray tracing in Plücker coordinates
https://www.academia.edu/60622224/RCS_prediction_using_fast_ray_tracing_in_Pl%C3%BCcker_coordinates
Shooting and Bouncing Ray (SBR) method based on ray tracing is used in RCS calculation of arbitrary shaped targets in high frequency regime. Large targets are usually modeled by the usage of large number of triangles. In this study, for the purpose ... RCS prediction using fast ray tracing in Plücker coordinates.
RCS prediction using fast ray tracing in Plücker coordinates
https://www.researchgate.net/publication/261315602_RCS_prediction_using_fast_ray_tracing_in_Plucker_coordinates
Ray-triangle intersection test using Plücker coordinates is compared with the Möller-Trumbore and Badouel's method currently available in the literature. It is …
Mesh-based Monte Carlo method using fast ray-tracing in …
https://pubmed.ncbi.nlm.nih.gov/21170299/
The Barycentric coordinates computed from Plücker-formed ray-tracing enables us to use linear Lagrange basis functions to model both media properties and fluence distribution, leading to further improvement in accuracy. The Plücker-coordinate ray-polygon intersection test can be extended to hexahedral or high-order elements.
Plücker coordinates considered harmful! - Real-Time …
https://realtimecollisiondetection.net/blog/?p=13
An expression can be derived for side (R,L) as the permuted inner product of the ray’s Plücker coordinates R n, and line’s Plücker coordinates L n . side (R,L) = R 2 L 3 + R 5 L 1 + R 4 L 0 + R 1 L 5 + R 0 L 4 + R 3 L 2 side (R,L) is positive if the relative orientation is clockwise, negative if counterclockwise, and zero if the lines intersect.
Mesh-based Monte Carlo method using fast ray-tracing in …
https://www.ncbi.nlm.nih.gov/sites/ppmc/articles/PMC3003331/
We describe a fast mesh-based Monte Carlo (MC) photon migration algorithm for static and time-resolved imaging in 3D complex media. Compared with previous works using voxel-based media discretization, a mesh-based approach can be more accurate in modeling ...
Pluecker Coordinates - Texas A&M University
https://www.math.tamu.edu/~frank.sottile/research/pages/Flags/shapiro/pluecker_coordinates.html
Let the entries be xi,j for i =1,2 and j =0,1,2,3. It is a classic fact (see Chapter 2 of [ PW ]) that the linear subspace H is determined by the sextuple of the 2 by 2 minors of the matrix H, up to a scalar. This sextuple is called the Plücker coordinates for the 2-plane H . They are pi,j := x1,i x2,j - …
Plucker Coordinates - ISU Sites
https://faculty.sites.iastate.edu/jia/files/inline-files/plucker-coordinates.pdf
1 Plu¨cker Coordinates A rigid body in the space is known to have six degrees of freedom: three translational and three rotational. It can translate along either one of x-, y-, and z-axes, or rotate about either one of them or any of other three orthogonal directions. A line ℓ in the space, however, has only four degrees of freedom.
Fast Ray-Tetrahedron Intersection Using Plucker …
https://www.academia.edu/50274718/Fast_Ray_Tetrahedron_Intersection_Using_Plucker_Coordinates
intersects r. 2.2 Ray–Triangle Intersection using Plücker Coordinates Plücker coordinates [Eri97, Sho98, Sto91, TH99] are a way of specifying directed lines in three-dimensional space using six …
back-projecting a 2D point to 3D Plucker line - Stack …
https://stackoverflow.com/questions/12356901/back-projecting-a-2d-point-to-3d-plucker-line
As inputs, we have. 2D coordinates of a (projected) point. the projection matrix. Using these two inputs, we can back-project this 2d point to a ray (3D line). All 3D points of this 3D line are projected to the same 2D point. The ray by default passes through the camera center (or projection center,etc). For necessary equations, see.
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