Creating Fair and Shape-Preserving Curves and Surfaces

Beschreibung

The creation of free-form curves and surfaces by fairing processes, especially with shape-preservation constraints, is an important task in the geometric and functional design of many products, e. g., car body surfaces, aircraft wings and fuselages, and ship hulls. Rational, quantitative fairness measures are used to compare different shapes and measure the success of a fairing process. Robust and efficient algorithms are needed to secure the geometric quality of technical shapes. The fairing process must also conserve the essential shape character captured in the given data sets. The results presented in this book are based on an International Workshop held by the EU Project FAIRSHAPE where a comprehensive overview of state of the art methodologies and recent new developments in fairing and shape-preserving processes for geometric design was compiled. In addition the experiences from a major new benchmark test on diverse algorithms with many practical examples and different fairness criteria are also reported. The book combines direct project results from FAIRSHAPE with other contributions from the scientific community.

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Horst Nowacki

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