By Robert E. Barnhill, Gerald E. Farin, Qian Chen (auth.), Prof. Dr. G. Farin, Prof. Dr. H. Noltemeier, Prof. Dr. H. Hagen, Prof. Dr. W. Knödel (eds.)
In this quantity specialists from college and are proposing new applied sciences for fixing business difficulties in addition to very important and attainable impulses for brand spanking new study. the subsequent issues are handled: - good modelling - geometry processing - characteristic modelling - product modelling - surfaces over arbitrary topologies - mixing equipment - scattered facts algorithms - smooting and fairing algorithms - NURBS 21 articles are giving a cutting-edge survey of the correct difficulties and concerns within the swiftly transforming into sector of geometric modelling.
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Additional info for Geometric Modelling, 1st Edition
5) and (12). This interpretation is only of value in that properties of the PDE supply information about the properties of the mapping. 5. Non-Simply Connected Solids We can now broach the problem of solids which are not simply connected. Let us illustrate how this difficulty may be overcome by reference to a simple example from which we can deduce a more general answer. Consider the case of a toroid the surface of which can be represented parametrically by Ks = [(a + bcosv)cosu,(a + bcosv)sinu,bsinv].
A headlight for example should illuminate the road in fore- and farfield for normal driving without blinding oncoming traffic. A brakelight should show a large and evenly lit signal surface and be visible from a wide range of directions. The optical properties of head- and taillights are typical examples of Function-Features of the assembled product, which in turn are composed out of the function-features of the individual components such as light source and reflector. The function-features describe functional properties of a product or its components.
Smalltalk-80: The language and its implementation. Reading, MA: Addison Wesley 1983 (Series in Computer Science). : Applying object-oriented architecture to industrial geometrie modelers, GI-IFIP Symposium 89 Berlin, pp. 365-374. : Repriisentation von Wissen in einer objekt-orientierten Sprache, Dissertation, Universitiit Stuttgart, 1986.  Roth, F. : Entwerfen und Gestalten am Bildschirm. VDI-Berichte 261, 79-87 (1973).  J. J. Shah, M. T. Rogers,: Expert form feature modelling shell. Computer Aided Design 20 (9), 515-524 (1988).