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Written by authors at the forefront of modern algorithms research,
Delaunay Mesh Generation demonstrates the power and versatility of
Delaunay meshers in tackling complex geometric domains ranging from
polyhedra with internal boundaries to piecewise smooth surfaces.
Covering both volume and surface meshes, the authors fully explain
how and why these meshing algorithms work. The book is one of the
first to integrate a vast amount of cutting-edge material on
Delaunay triangulations. It begins with introducing the problem of
mesh generation and describing algorithms for constructing Delaunay
triangulations. The authors then present algorithms for generating
high-quality meshes in polygonal and polyhedral domains. They also
illustrate how to use restricted Delaunay triangulations to extend
the algorithms to surfaces with ridges and patches and volumes with
smooth surfaces. For researchers and graduate students, the book
offers a rigorous theoretical analysis of mesh generation methods.
It provides the necessary mathematical foundations and core
theoretical results upon which researchers can build even better
algorithms in the future. For engineers, the book shows how the
algorithms work well in practice. It explains how to effectively
implement them in the design and programming of mesh generation
software.
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