Cálculo e Estimação de Invariantes Geométricos: Uma ... - Impa

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122 Referências Bibliográficas [CLM06] M. Craizer, T. Lewiner, and J.-M. Morvan, Parabolic polygons and discrete affine geometry, Sibgrapi (Manaus), IEEE, 2006, pp. 19–26. [CLM07] M. Craizer, T. Lewiner, and J.-M. Morvan, Combining points and tangents into parabolic polygons: an affine invariant model for plane curves, Journal of Mathematics Imaging and Vision 29 (2007), no. 2-3, 131–140. [CSM03] D. Cohen-Steiner and J.-M. Morvan, Restricted Delaunay triangulations and normal cycle, Symposium on Computational Geometry, ACM, 2003, pp. 312–321. [DC76] M. Do Carmo, Differential geometry of curves and surfaces, Prentice Hall, 1976. [FHK02] G. Farin, J. Hoschek, and M. Kim, Handbook of computer aided geometric design, North-Holland, 2002. [GCO06] R. Gal and D. Cohen-Or, Salient geometric features for partial shape matching and similarity, Transactions on Graphics 25 (2006), no. 1, 130–150. [Gol05] R. Goldman, Curvature formulas for implicit curves and surfaces, Computer Aided Geometric Design 22 (2005), no. 7, 632–658. [GSH + 07] R. Gal, A. Shamir, T. Hassner, M. Pauly, and D. Cohen- Or, Surface reconstruction using local shape priors, Symposium on Geometry Processing, Eurographics, 2007, pp. 253–262. [GV03] J. Gomes and L. Velho, Fundamentos de computação gráfica, IMPA, 2003. [Lag00] E. Lages, Análise no espaço r n , Projeto Euclides, 2000. [LC87] W. Lorensen and H. Cline, Marching Cubes: A high resolution 3D surface construction algorithm, Siggraph, ACM, 1987, p. 169.
Referências Bibliográficas 123 [LC07] T. Lewiner and M. Craizer, Convergence of affine estimators on parabolic polygons, Tech. report, Pontifícia Universidade Católica do Rio de Janeiro, 2007. [LC08] T. Lewiner and M. Craizer, Projective estimators for point-tangent representations of planar curves, Sibgrapi, 2008, pp. 223–229. [LC10] T. Lewiner and M. Craizer, Projective splines and estimators for planar curves, Journal of Mathematical Imaging and Vision 36 (2010), no. 1, 81–89. [LGLC05] T. Lewiner, J. Gomes, H. Lopes, and M. Craizer, Curvature and torsion estimators based on parametric curve fitting, Computers & Graphics 29 (2005), no. 5, 641–655. [LLVT03] T. Lewiner, H. Lopes, A. Vieira, and G. Tavares, Efficient implementation of Marching Cubes’ cases with topological guarantees, Journal of Graphics Tools 8 (2003), no. 2, 1– 16. [LM98] L. Lima and F. Montenegro, Evolução de curvas planas pela curvatura, X Escola de Geometria Diferencial, 1998. [LOdF02] H. Lopes, J. B. Oliveira, and L. H. de Figueiredo, Robust adaptive polygonal approximation of implicit curves, Computers & Graphics 26 (2002), no. 6, 841–852. [Low04] D. Lowe, Distinctive image features form scale invariant keypoints, International Journal of computer Vision 60 (2004), no. 2, 91–110. [LW69] A. T. Lundell and S. Weingram, The topology of cw complexes, Van Nostrand Reinhold, New York, 1969. [MDSB02] M. Meyer, M. Desbrun, P. Schröder, and A. Barr, Discrete differential–geometry operators for triangulated 2– manifolds, Mathematical Visualization III (Berlin) (H.-C. Hege and K. Polthier, eds.), Springer, Berlin, 2002.
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Cálculo e Estimação de Invariant
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Copyright © 2011 by M. Andrade e T
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Sumário 1 Introdução 7 1.1 Objet
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Sumário 5 5.3 Interpretação Geom
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8 1.1. Objetos Geométricos Este li
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10 1.3. Contextos de Modelagem 1.3
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12 1.4. Técnicas de Mudança de Co
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Capítulo 2 Geometria Euclidiana: C
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Capítulo 2. Geometria Euclidiana:
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32 3.1. Modelos Euclidianos de Supe
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40 3.2. Mudança de Contextos Estas
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42 3.2. Mudança de Contextos Figur
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44 3.3. Plano Tangente; Vetor Norma
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46 3.4. Primeira Forma Fundamental
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48 3.4. Primeira Forma Fundamental
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50 3.5. Segunda Forma Fundamental E
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52 3.5. Segunda Forma Fundamental $
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54 3.5. Segunda Forma Fundamental 3
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56 3.5. Segunda Forma Fundamental C
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58 3.5. Segunda Forma Fundamental 3
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60 3.6. Discussão perfície discre
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62 4.1. Invariância Afim Definiç
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64 4.1. Invariância Afim Cônicas
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66 4.2. Modelos de Curvas 4.2 Model
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68 4.2. Modelos de Curvas xi+1 zi F
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70 4.3. Curvas Paramétricas Logo,
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Page 131: Índice Remissivo Área, 48 Aplica
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Cálculo e Estimação de Invariantes Geométricos: Uma ... - Impa

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