This new volume introduces readers to some of the current topics of
research in the geometry of polyhedral surfaces, with applications
to computer graphics. It provides a systematic introduction to the
geometry of polyhedral surfaces based on the variational principle.
This new volume introduces readers to some of the current topics of
research in the geometry of polyhedral surfaces, with applications
to computer graphics. The main feature of this volume is a
systematic introduction to the geometry of polyhedral surfaces
based on the variational principle. The authors focus on using
analytic methods in the study of some of the fundamental results
and problems of polyhedral geometry: for instance, the Cauchy
rigidity theorem, Thurston's circle packing theorem, rigidity of
circle packing theorems, and Colin de Verdiere's variational
principle. This present book is the first complete treatment of the
vast, and expansively developed, field of polyhedral geometry.
General
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