Abstract
Surfaces have been studied as an expanded form of curves for a long time. As the pioneers of studies on surface representations, Coons and Bézier can be referred. In 1964, Coons proposed the Coons surface[44] for surface representation. It is used to define surface shapes interactively in computers. Bézier proposed the Bézier surf ace [11,13] in 1966, also for representing surfaces and it is used in the design of automobile bodies. Both the Coons and the Bézier surfaces, used for surface representations, create rectangular patches. Since the Coons and Bézier surfaces, a lot of research has been done to expand and generalize representations by these surfaces.
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© 1993 Springer-Verlag Berlin Heidelberg
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Toriya, H., Chiyokura, H. (1993). Free-Form Surfaces. In: Toriya, H., Chiyokura, H. (eds) 3D CAD. Computer Science Workbench. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45729-6_5
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DOI: https://doi.org/10.1007/978-3-642-45729-6_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45731-9
Online ISBN: 978-3-642-45729-6
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