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The design and analysis of geometric algorithms have seen
remarkable growth in recent years, due to their application in, for
example, computer vision, graphics, medical imaging and CAD. The
goals of this book are twofold: first to provide a coherent and
systematic treatment of the foundations; secondly to present
algorithmic solutions that are amenable to rigorous analysis and
are efficient in practical situations. When possible, the
algorithms are presented in their most general d-dimensional
setting. Specific developments are given for the 2- or
3-dimensional cases when this results in significant improvements.
The presentation is confined to Euclidean affine geometry, though
the authors indicate whenever the treatment can be extended to
curves and surfaces. The prerequisites for using the book are few,
which will make it ideal for teaching advanced undergraduate or
beginning graduate courses in computational geometry.
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