The papers included in this volume provide an overview about the
state-of-the-art in approximative implicitization and various related
topics, including both the theoretical basis and the existing
computational techniques. The novel idea of approximate
implicitization has strengthened the existing link between Computer
Aided Geometric Design and classical algebraic geometry. There is a
growing interest from researchers and professionals both in CAGD and
Algebraic Geometry, to meet and combine knowledge and ideas, in order
to better solve industrial--type challenges, as well as to initiate new
directions for basic research. This volume will support this exchange
of ideas between the various communities.
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