The Intersection Algorithm and Applications

1999 ◽  
pp. 43-81
Author(s):  
Hubert Flenner ◽  
Liam O’Carroll ◽  
Wolfgang Vogel
Keyword(s):  
Intersection Algorithm

Floating-Point Filter for the Line Intersection Algorithm

2004 ◽  
pp. 94-105 ◽  
Author(s):  
Andras Frankel ◽  
Doron Nussbaum ◽  
Jörg-Rudiger Sack
Keyword(s):  
Floating Point ◽  
Intersection Algorithm

Multi-station intersection algorithm of optical theodolites based on robust estimation

2018 ◽  
Vol 33 (4) ◽  
pp. 299-305
Author(s):  
于国栋 YU Guo-dong ◽  
王春阳 WANG Chun-yang
Keyword(s):  
Robust Estimation ◽  
Intersection Algorithm

New Simplified Three-Spheres Intersection Algorithm for the Forward Pose Kinematics of Cable-Suspended Robots

2014 ◽  
Author(s):  
Robert L. Williams ◽  
Noah Needler
Keyword(s):  
Multiple Solutions ◽  
Practical Implementation ◽  
Original Algorithm ◽  
Cable Robot ◽  
Intersection Algorithm

A novel simplified analytical three-spheres intersection algorithm is presented for use with forward pose kinematics solutions of a four-cable-suspended robot (the method is applicable to various other cable-suspended robots with equal pole heights and three cables intersecting in one point). It is required that the vertical center heights of all three spheres are equal (otherwise one can use the existing more-complicated algorithm). We derive this new algorithm and show that the multiple solutions, algorithmic singularity, and imaginary solutions do not cause any trouble in practical implementation. The algorithmic singularity of the original three-spheres intersection algorithm regarding equal Z heights is eliminated with the new algorithm. The new algorithm requires significantly less computation compared with the original algorithm. Examples are presented to demonstrate the new three-spheres intersection algorithm for a 4-cable robot.

scholarly journals A line/trimmed NURBS surface intersection algorithm using matrix representations

2016 ◽  
Vol 48 ◽  
pp. 1-16 ◽  
Author(s):  
Jingjing Shen ◽  
Laurent Busé ◽  
Pierre Alliez ◽  
Neil Dodgson
Keyword(s):  
Nurbs Surface ◽  
Matrix Representations ◽  
Surface Intersection ◽  
Intersection Algorithm

An intersection algorithm for disk B-spline curves

2018 ◽  
Vol 70 ◽  
pp. 99-107 ◽  
Author(s):  
Xuefeng Ao ◽  
Qian Fu ◽  
Zhongke Wu ◽  
Xingce Wang ◽  
Mingquan Zhou ◽  
...  
Keyword(s):  
B Spline ◽  
Spline Curves ◽  
Intersection Algorithm
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