Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set

Mihail Găianu; Gabriela Cristescu

doi:10.2478/v10324-012-0002-7

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Restricted Oriented Slack Convexity and Extremal Elements with Respect to a Set

Annals of West University of Timisoara - Mathematics and Computer Science

Volume 50 (2012): Issue 1 (November 2012)

By: Mihail Găianu and Gabriela Cristescu

Open Access

|Nov 2012

[1] J. M. Chassery, Repr_esentation discr_ete, interpr_etation num_erique et description des images: des concepts _a l'applications, Th_ese, Universit_e Scienti_que et M_edicale de Grenoble, 1984.
Search in Google Scholar
[2] G. Cristescu, Convexity related to the coarseness of the concavity, R_evue d'Analyse Num. Th. Approx., 26, 1-2, (1997), 29-37.
Search in Google Scholar
[3] G. Cristescu, Extinderea not_iunilor de comportare _si aproximare la unele domenii particulare ale cercet_arii, Thesis, Universitatea "Babe_s - Bolyai\ din Cluj-Napoca, 1997.
Search in Google Scholar
[4] G. Cristescu and L. Lup_sa, Non-Connected Convexities and Applications, Kluwer Academic Publishers, Dordrecht/ Boston/ London, 2002.
Open DOI Search in Google Scholar
[5] M. G_aianu, Contribut_ii la studiul unor probleme de recunoa_stere _si reg_asire de imag- ini, Thesis, Universitatea de Vest din Timi_soara, 2011.
Search in Google Scholar
[6] M. G_aianu, Detecting and tracking markers on a human face, Annals of the Oradea University, Fascicle of Management and Technological Engineering, X(X), 1(2011), 3.49-3.54.
Search in Google Scholar
[7] P. M. Gruber and J. M. Willis, (eds.), Handbook of Convex Geometry, A,B, North-Holland, 1993.
Search in Google Scholar
[8] D. C. Kay and E. W. Womble, Axiomatic convexity theory and relationships between the Caratheodory, Helly and Radon numbers, Paci_c J. Math., 38, (1971), 471-485.
Open DOI Search in Google Scholar
[9] C. E. Kim and A. Rosenfeld, On the convexity of digital regions, Proc. 5th JCPR, (1980), 1010-1015.
Search in Google Scholar
[10] M. Krein and D. Milman, On the extreme points of regularly convex sets, Studia Mathematica, 9, (1940), 133-138.
Open DOI Search in Google Scholar
[11] L. Lup_sa, Asupra unei not_iuni de convexitate, Sem. Itin. Ec. Funct_. Aprox. Conv., 7-8 noiembrie 1980, (1980), 127-135.
Search in Google Scholar
[12] L. Lup_sa, Tipuri particulare de probleme de programare liniar_a _si neliniar_a, Tez_a de doctorat, Universitatea "Babe_s-Bolyai" Cluj-Napoca, 1981.
Search in Google Scholar
[13] L. Lup_sa, Some types of convexity with respect to a given set, (1986), 89-114.
Search in Google Scholar
[14] G. J. E. Rawlins and D.Wood, Optical Computation of Finitely-Oriented Convex Hulls, Information and Computation, 72, (1987), 150-166.
Open DOI Search in Google Scholar
[15] G. J. E. Rawlins and D. Wood, Ortho-convexity and its generalizations, Compu- tational Morphology, G.T. Toussaint ed., Elsevier, (1988), 137-152.
Open DOI Search in Google Scholar
[16] G. J. E. Rawlins and D. Wood, Restricted-Oriented Convex Sets, Technical Re- port, 272, 1989.
Search in Google Scholar
[17] A. Rosenfeld, Picture Processing by Computer, Academic Press, New York, London, 1969.
Open DOI Search in Google Scholar
[18] R. Webster, Convexity, Oxford University Press, 1994.
Search in Google Scholar