Fausto Bernardini, Holly Rushmeier
Proceedings of SPIE - The International Society for Optical Engineering
Several combinatorial structures exhibit a duality relation that yields interesting theorems, and, sometimes, useful explanations or interpretations of results that do not concern duality explicitly. We present a common characterization of the duality relations associated with matroids, clutters (Sperner families), oriented matroids, and weakly oriented matroids. The same conditions characterize the orthogonality relation on certain families of vector spaces. This leads to a notion of abstract duality. © 2007 Elsevier Ltd. All rights reserved.
Fausto Bernardini, Holly Rushmeier
Proceedings of SPIE - The International Society for Optical Engineering
Amir Ali Ahmadi, Raphaël M. Jungers, et al.
SICON
R.B. Morris, Y. Tsuji, et al.
International Journal for Numerical Methods in Engineering
M. Tismenetsky
International Journal of Computer Mathematics