Towards the three-dimensional Arrangement of Quadrics
Michael Hemmer
Broschiertes Buch

Towards the three-dimensional Arrangement of Quadrics

an exact parametric approach

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This book presents a complete, exact and efficient algorithm to compute the adjacency graph of an arrangement of quadrics, i.e., surfaces of algebraic degree 2. Extending an approach for an exact parameterization of the intersection curves of two quadrics, the approach computes the exact parameter value for intersection points and from that the adjacency graph of the arrangement. The presented implementation is complete in the sense that it can handle all kinds of inputs. It is exact in that it always computes the mathematically correct result. It is efficient measured in running times, i.e. i...