Browsing by Author "Liu, CR"

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Analysis on machined feature recognition techniques based on B-rep
(1996-08-01)
Wu, MC
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Liu, CR
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工業工程與管理學系
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Department of Industrial Engineering and Management
Solving the machine feature recognition problem has been widely recognized as a cornerstone for developing an automated process planning system directly linked to a CAD system. Various recognition techniques have been developed; however, they are in general deficient in robustness. That is, valid machined features may not be recognized and features which are recognized may not be valid in practice. This paper is intended to analyse the existing machined feature recognition techniques, which are based on the B-rep solid modelling scheme, in order to give the reasons why the robustness problem would occur. The pros and cons for recognizing machined features are also analysed. Finally, a cutter selection methodology, known as process requirement modelling, is introduced; this methodology seems to provide a promising way to solve the machined feature recognition problem. Copyright (C) 1996 Elsevier Science Ltd.
Spectral characterization of some generalized odd graphs
(1999)
Huang, T
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Liu, CR
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應用數學系
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Department of Applied Mathematics
Suppose G is a connected, k-regular graph such that Spec(G) = Spec(Gamma) where Gamma is a distance-regular graph of diameter d with parameters a(1) = a(2) = ... = a(d-1) = 0 and a(d) > 0; i.e., a generalized odd graph, we show that G must be distance-regular with the same intersection array as that of Gamma in terms of the notion of Hoffman Polynomials. Furthermore, G is isomorphic to Gamma if Gamma is one of the odd polygon C2d+1 the Odd graph Od+1, the folded (2d + 1)-cube, the coset graph of binary Golay code (d = 3), the Hoffman-Singleton graph (d = 2), the Gewirtz graph (d = 2), the Higman-Sims graph (d = 2), or the second subconstituent of the Higman-Sims graph (d = 2).