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Blind digital watermarking of rational Bezier and B-spline curves and surfaces with robustness against affine transformations and Mobius reparameterization

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dc.contributor.authorKwon, Song-Hwa-
dc.contributor.authorKim, Tae-Wan-
dc.contributor.authorChoi, Hyeong In-
dc.contributor.authorMoon, Hwan Pyo-
dc.contributor.authorShin, Heon-Ju-
dc.contributor.authorSohn, Jung Kyo-
dc.contributor.authorPark, Sung Ha-
dc.date.accessioned2011-12-08T01:41:05Z-
dc.date.available2011-12-08T01:41:05Z-
dc.date.issued2011-06-
dc.identifier.citationCOMPUTER-AIDED DESIGN; Vol.43 6; 629-638-
dc.identifier.issn0010-4485-
dc.identifier.urihttps://hdl.handle.net/10371/75111-
dc.description.abstractWe present a blind watermarking scheme for rational Bezier and B-spline curves and surfaces which is shape-preserving and robust against the affine transformations and Mobius reparameterization that are commonly used in geometric modeling operations in CAD systems. We construct a watermark polynomial with real coefficients of degree four which has the watermark as the cross-ratio of its complex roots. We then multiply the numerator and denominator of the original curve or surface by this polynomial, increasing its degree by four but preserving its shape. Subsequent affine transformations and Mobius reparameterization leave the cross-ratio of these roots unchanged. The watermark can be extracted by finding all the roots of the numerator and denominator of the curve or surface: the cross-ratio of the four common roots will be the watermark. Experimental results confirm both the shape-preserving property and its robustness against attacks by affine transformations and Mobius reparameterization. (C) 2011 Elsevier Ltd. All rights reserved.-
dc.language.isoen-
dc.publisherELSEVIER SCI LTD-
dc.subjectDigital watermarking-
dc.subjectRational Bezier curves and surfaces-
dc.subjectCross-ratio-
dc.subjectRational B-spline curves and surfaces-
dc.titleBlind digital watermarking of rational Bezier and B-spline curves and surfaces with robustness against affine transformations and Mobius reparameterization-
dc.typeArticle-
dc.contributor.AlternativeAuthor권송화-
dc.contributor.AlternativeAuthor김태완-
dc.contributor.AlternativeAuthor최현인-
dc.contributor.AlternativeAuthor문환표-
dc.contributor.AlternativeAuthor신헌주-
dc.contributor.AlternativeAuthor손정교-
dc.contributor.AlternativeAuthor박성하-
dc.identifier.doi10.1016/j.cad.2011.02.006-
dc.citation.journaltitleCOMPUTER-AIDED DESIGN-
dc.description.citedreferenceChoi HI, 2010, COMPUT AIDED DESIGN, V42, P163, DOI 10.1016/j.cad.2009.09.002-
dc.description.citedreferenceMourrain B, 2009, J SYMB COMPUT, V44, P292, DOI 10.1016/j.jsc.2008.04.016-
dc.description.citedreferenceWENG B, 2008, 11 IEEE INT C COMM T, P773-
dc.description.citedreferenceMITREA M, 2006, 2D APPROACHES 3D WAT, V6064-
dc.description.citedreferenceKo KH, 2005, GRAPH MODELS, V67, P120, DOI 10.1016/j.gmod.2004.05.005-
dc.description.citedreferenceIN CH, 2005-
dc.description.citedreferenceCOTTING D, 2004, INT C SHAP MOD APPL, P234-
dc.description.citedreferenceJUN LJ, 2004, EURASIP J APPL SIG P, P2142-
dc.description.citedreferenceKo KH, 2003, COMPUT AIDED DESIGN, V35, P913, DOI [10.1016/S0010-4485(02)00205-1, 10.1016/S0010-4485902)00205-1]-
dc.description.citedreferenceKO KH, 2003, P 8 ACM S SOL MOD AP, P196-
dc.description.citedreferenceKO KH, 2003, J COMPUT INF SCI ENG, V3, P325-
dc.description.citedreferenceCOX IJ, 2002, DIGITAL WATERMARKING-
dc.description.citedreferenceLEE JJ, 2002, P IEEE MMSP, P304-
dc.description.citedreferencePRESS WH, 2002, NUMERICAL RECIPES C-
dc.description.citedreferenceLangelaar GC, 2000, IEEE SIGNAL PROC MAG, V17, P20, DOI 10.1109/79.879337-
dc.description.citedreferenceWAGNER MG, 2000, P GEOM MOD PROC, P201, DOI 10.1109/GMAP.2000.838252-
dc.description.citedreferenceBenedens O, 1999, IEEE COMPUT GRAPH, V19, P46, DOI 10.1109/38.736468-
dc.description.citedreferenceFARIN G, 1999, NURBS PROJECTIVE GEO-
dc.description.citedreferenceHsu CT, 1999, IEEE T IMAGE PROCESS, V8, P58-
dc.description.citedreferenceOHBUCHI R, 1999, P COMP GRAPH INT, P1-
dc.description.citedreferencePRAUN E, 1999, COMP GRAPH, P49-
dc.description.citedreferenceOhbuchi R, 1998, COMPUT COMMUN, V21, P1344-
dc.description.citedreferencePitas I, 1998, IEEE T CIRC SYST VID, V8, P775, DOI 10.1109/76.728421-
dc.description.citedreferenceOhbuchi R, 1998, IEEE J SEL AREA COMM, V16, P551, DOI 10.1109/49.668977-
dc.description.citedreferenceOHBUCHI R, 1997, P ACM MULT 97 SEATTL, P261-
dc.description.citedreferenceFarouki RT, 1996, MATH COMPUT, V65, P1553-
dc.description.citedreferenceSHERBROOKE EC, 1993, COMPUT AIDED GEOM D, V10, P379-
dc.description.tc0-
dc.identifier.wosid000291337300007-
Appears in Collections:
College of Engineering/Engineering Practice School (공과대학/대학원)Dept. of Architecture and Architectural Engineering (건축학과)Journal Papers (저널논문_건축학과)
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