Abstract
Several naturally occurring as well as manufactured objects have shell like structures, that is their boundaries consist of surfaces with thickness. In an earlier paper, we have provided a reconstruction algorithm for such shell structures using smooth fat surfaces within three-sided prisms. In this paper, we extend the approach to a scaffolding consisting of three and four-sided prisms. Within each prism the constructed function is converted to a spline representation. In addition to the adaptive feature of our earlier scheme, the new scheme has the following extensions: (a) four sided fat patches are employed; (b) the size of individual fat patches are bigger; (c) fairing techniques are combined to obtain nicely shaped fat surfaces.
Research supported in part by NSF grants CCR 9732306, KDI-DMS-9873326 and ACI-9982297.
Project 19671081 supported by NSFC.
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© 2001 Springer-Verlag Wien
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Bajaj, C.L., Xu, G. (2001). Smooth Shell Construction with Mixed Prism Fat Surfaces. In: Brunnett, G., Bieri, H., Farin, G. (eds) Geometric Modelling. Computing, vol 14. Springer, Vienna. https://doi.org/10.1007/978-3-7091-6270-5_2
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DOI: https://doi.org/10.1007/978-3-7091-6270-5_2
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83603-3
Online ISBN: 978-3-7091-6270-5
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