A new approach to line and line segment clipping in homogeneous coordinates
Vaclav Skala
In The Visual Computer, 21(11), 2005.
Abstract: The clipping operation is still the bottleneck of the graphics pipeline in spite of the latest developments in graphical hardware and a significant increase in performance. Algorithms for line and line segment clipping have been studied for a long time and many research papers have been published so far. This paper presents a new robust approach to line and line segment clipping using a rectangular window. A simple extension for the case of convex polygon clipping is presented as well.

The presented approach does not require a division operation and uses homogeneous coordinates for input and output point representation. The proposed algorithms can take advantage of operations supported by vector-vector hardware.

The main contribution of this paper is a new approach to intersection computations applied to line and line segment clipping. This approach leads to algorithms that are simpler, robust, and easy to implement.
Keyword(s): Clipping, Homogeneous coordinates, Projective space, Duality
BibTeX format:
@article{Skala:2005:ANA,
  author = {Vaclav Skala},
  title = {A new approach to line and line segment clipping in homogeneous coordinates},
  journal = {The Visual Computer},
  volume = {21},
  number = {11},
  pages = {905--914},
  year = {2005},
}
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