Publication:
Classification of Lagrangians for surface design.

dc.contributor.authorMuñoz Masqué, Jaime
dc.contributor.authorPozo Coronado, Luis Miguel
dc.date.accessioned2023-06-20T17:06:00Z
dc.date.available2023-06-20T17:06:00Z
dc.date.issued2001
dc.description.abstractSecond-order Lagrangians depending on a surface which are parameter-invariant and also invariant under rigid motions of Euclidean 3-space are classified.
dc.description.departmentDepto. de Álgebra, Geometría y Topología
dc.description.facultyFac. de Ciencias Matemáticas
dc.description.refereedTRUE
dc.description.sponsorshipDGES
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/17488
dc.identifier.citationD. Terzopoulos and H. Qin, Dynamic NURBS with geometric constraints for interactive sculpting, ACM Trans. Graphics 13, 103-136 (1993). M.I.G. Bloor, M.J. Wilson and H. Hagen, The smoothing properties of variational schemes for surface design,Comput. Aided Geom. Design 12, 381-394 (1995). G.E. Fasshauer and L.L. Schumaker, Minimal energy surfaces using parametric splines, Comput. Aided Geom. Design 13, 45-79 (1996). G. Greiner, Blending techniques based on variational principles, In Curves and Surfaces in Computer IAision and Graphics III, (Edited by J.D. Warren), pp. 174-183, Proc.SPIE 1830, (1992). G. Greiner, Surface construction based on variational principles, In Wavelets, Images, and Surface Fitting,(Edited by P.J. Laurent, A. LeM6haut6 and L.L. Schumaker),pp. 277-286, AKPeters, Wellesley, MA,(1994). R.F. Sarraga, Recent methods for surface shape optimization, Comput. Aided Geom. Design 15, 417-436 (1998). W. Welch and A. Witkin, Variational surface modeling,Comput. Graphics 26, 157-166 (1992). M.I.G. Bloor and M.J. Wilson, Using partial differential equations to generate free-form surfaces, Comput.Aided Design 22, 202-212 (1990). M.I.G. Bloor and M.J. Wilson, Representing PDE surfaces in terms of B-splines, Comput. Aided Design 22,324 331 (1990). 10. R.L. Bryant, S.S. Chern, R.B. Gardner, H.L. Goldschmidt and P.A. Griffiths, Exterior Differential Systems,Springer-Verlag, New York, (1991).
dc.identifier.doi10.1016/S0893-9659(00)00107-5
dc.identifier.issn0893-9659
dc.identifier.officialurlhttp://www.sciencedirect.com/science/article/pii/S0893965900001075
dc.identifier.relatedurlhttp://www.sciencedirect.com
dc.identifier.urihttps://hdl.handle.net/20.500.14352/57768
dc.issue.number1
dc.journal.titleApplied Mathematics Letters
dc.language.isoeng
dc.page.final31
dc.page.initial27
dc.publisherPergamon-Elsevier Science Ltd
dc.relation.projectIDPB95-0124
dc.rights.accessRightsrestricted access
dc.subject.cdu517
dc.subject.keywordEuclidean invariance
dc.subject.keywordExtremals
dc.subject.keywordLagrangian function
dc.subject.keywordParameter invariance
dc.subject.keywordSurface shape optimization
dc.subject.ucmAnálisis matemático
dc.subject.unesco1202 Análisis y Análisis Funcional
dc.titleClassification of Lagrangians for surface design.
dc.typejournal article
dc.volume.number14
dspace.entity.typePublication
relation.isAuthorOfPublication0124d449-632e-4dc8-9651-eb1975f330ab
relation.isAuthorOfPublication.latestForDiscovery0124d449-632e-4dc8-9651-eb1975f330ab
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