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Volumn 72, Issue 1-2, 2004, Pages 93-103

Evolutions of polygons in the study of subdivision surfaces

Author keywords

Circulant matrices; Evolving polygons; Subdivision

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER SIMULATION; CONTROL SYSTEMS; GRAPH THEORY; RECURSIVE FUNCTIONS;

EID: 2542472456     PISSN: 0010485X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00607-003-0049-8     Document Type: Conference Paper
Times cited : (3)

References (16)
  • 2
    • 0023999814 scopus 로고
    • Conditions for tangent plane continuity over recursively generated B-spline surfaces
    • Ball, A.A., Storry, D.J.T.: Conditions for tangent plane continuity over recursively generated B-spline surfaces. ACM Transactions on Graphics 7, 83-102 (1988).
    • (1988) ACM Transactions on Graphics , vol.7 , pp. 83-102
    • Ball, A.A.1    Storry, D.J.T.2
  • 4
    • 0029425266 scopus 로고
    • Evolutions of planar polygons
    • Bruckstein, A.M., Sapiro, G., Snaked, D.: Evolutions of planar polygons. IJPRAI 9, 991-1014 (1995).
    • (1995) IJPRAI , vol.9 , pp. 991-1014
    • Bruckstein, A.M.1    Sapiro, G.2    Snaked, D.3
  • 5
    • 0343476985 scopus 로고
    • Sur un problème de gèomètrie èlèmentaire
    • Darboux, M.G.: Sur un problème de gèomètrie èlèmentaire. Bull. Sci. Math. 2, 298-304 (1878).
    • (1878) Bull. Sci. Math. , vol.2 , pp. 298-304
    • Darboux, M.G.1
  • 7
    • 0018040207 scopus 로고
    • Behaviour of recursive division surfaces near extraordinary points
    • Doo, D., Sabin, M.: Behaviour of recursive division surfaces near extraordinary points. Computer Aided Design 10, 356-360 (1978).
    • (1978) Computer Aided Design , vol.10 , pp. 356-360
    • Doo, D.1    Sabin, M.2
  • 8
    • 0001821903 scopus 로고
    • Subdivision schemes in computer-aided geometric design
    • Light, W. (ed.). Clarendon Press
    • Dyn, N.: Subdivision schemes in computer-aided geometric design. In: Light, W. (ed.): Advances in numerical analysis, vol. 2, p. 36-104. Clarendon Press 1992.
    • (1992) Advances in Numerical Analysis , vol.2 , pp. 36-104
    • Dyn, N.1
  • 9
    • 0043229553 scopus 로고    scopus 로고
    • Properties of affinely regular polygons
    • Fisher, J.C., Jamison, R.E.: Properties of affinely regular polygons. Geom. Dedicata 69, 241-259 (1998).
    • (1998) Geom. Dedicata , vol.69 , pp. 241-259
    • Fisher, J.C.1    Jamison, R.E.2
  • 12
    • 0031245869 scopus 로고    scopus 로고
    • The simplest subdivision scheme for smoothing polyhedra
    • Peters, J., Reif, U.: The simplest subdivision scheme for smoothing polyhedra. ACM Transactions on Graphics 16, 420-431 (1997).
    • (1997) ACM Transactions on Graphics , vol.16 , pp. 420-431
    • Peters, J.1    Reif, U.2
  • 13
    • 0347594463 scopus 로고    scopus 로고
    • Analysis of algorithms generalizing B-spline subdivision
    • Peters, J., Reif, U.: Analysis of algorithms generalizing B-spline subdivision. SJAM Journal on Numerical Analysis 33, 728-748 (1998).
    • (1998) SJAM Journal on Numerical Analysis , vol.33 , pp. 728-748
    • Peters, J.1    Reif, U.2
  • 14
    • 22444454441 scopus 로고    scopus 로고
    • Necessary conditions for subdivision surfaces
    • Prautzsch, H., Reif, U.: Necessary conditions for subdivision surfaces. Adv. Comput. Math. 10, 209-217 (1999).
    • (1999) Adv. Comput. Math. , vol.10 , pp. 209-217
    • Prautzsch, H.1    Reif, U.2
  • 15
    • 0029271013 scopus 로고
    • A unified approach to subdivision algorithms near extraordinary vertices
    • Reif, U.: A unified approach to subdivision algorithms near extraordinary vertices. Computer Aided Geometric Design 12, 153-174 (1995)
    • (1995) Computer Aided Geometric Design , vol.12 , pp. 153-174
    • Reif, U.1
  • 16
    • 0004307742 scopus 로고    scopus 로고
    • PhD thesis, California Institute of Technology, Department of Computer Science
    • k Continuity of subdivision surfaces. PhD thesis, California Institute of Technology, Department of Computer Science 1996.
    • (1996) k Continuity of Subdivision Surfaces
    • Zorin, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.