A noniterative method for robustly computing the intersections between a line and a curve or surface

  title={A noniterative method for robustly computing the intersections between a line and a curve or surface},
  author={Xiao Xiao and Laurent Bus{\'e} and Fehmi Cirak},
  journal={International Journal for Numerical Methods in Engineering},
  pages={382 - 390}
The need to compute the intersections between a line and a high‐order curve or surface arises in a large number of finite element applications. Such intersection problems are easy to formulate but hard to solve robustly. We introduce a noniterative method for computing intersections by solving a matrix singular value decomposition and an eigenvalue problem. That is, all intersection points and their parametric coordinates are determined in one‐shot using only standard linear algebra techniques… 

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