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Line–Cyclide Intersection and Colinear Point Quadruples in the Double Conformal Model

  • Huijing Yao,
  • Stephen Mann,
  • Qinchuan Li

摘要

In this paper, we look at using the double conformal model for ray tracing. In particular, we explore the intersection of a line with a cyclide in the double conformal model, and how to extract the four points from the resulting colinear point quadruple. Further, we show how to directly construct a colinear point quadruple from four points, and we show how to find the line containing the points of a colinear point quadruple. We also briefly touch on barycentric coordinates in DCGA.