Publications

• Papers in refereed journals
• Papers in refereed conferences
• Papers submitted for publication
• Books
• Other publications

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Papers in refereed journals

• On the limit of families of algebraic subvarieties with unbounded volume, to appear in Astérisque 323 (2009) 41–59 (with César Camacho).
• A heuristic method for region reconstruction from noisy samples, to appear in International Journal of Shape Modeling 14 #2 (2008) (with Emilio Ashton Vital Brazil).
• Scalable GPU rendering of CSG models, Computers & Graphics 32 #5 (2008) 526–539 (with Fabiano Segadaes Romeiro and Luiz Velho). [doi]
• Robust visualization of strange attractors using affine arithmetic, Computers & Graphics 30 #6 (2006) 1020–1026 (with Afonso Paiva and Jorge Stolfi). [doi]
• The implementation of Lua 5.0, Journal of Universal Computer Science 11 #7 (2005) 1159–1176 (with Roberto Ierusalimschy and Waldemar Celes). [slides · doi]
• Smooth surface reconstruction from noisy clouds, Journal of the Brazilian Computer Society 9 #3 (2004) 52–66 (with Boris Mederos and Luiz Velho).
• Affine arithmetic: concepts and applications, Numerical Algorithms 37 #1–4 (2004) 147–158 (with Jorge Stolfi). [slides of invited plenary talk at SCAN 2002 · doi]
• Approximating parametric curves with strip trees using affine arithmetic, Computer Graphics Forum 22 #2 (2003) 171–179 (with Jorge Stolfi and Luiz Velho). [slides · doi]
• Robust approximation of offsets, bisectors, and medial axes of plane curves, Reliable Computing 9 #2 (2003) 161–175 (with João Batista Oliveira). [slides · doi]
• Robust adaptive polygonal approximation of implicit curves, Computers & Graphics 26 #6 (2002) 841–852 (with Hélio Lopes and João Batista Oliveira). [slides · doi]
• Interval computation of Viswanath's constant, Reliable Computing 8 #2 (2002) 131–138 (with João Batista Oliveira). [doi]
• The dynamics of the Jouanolou foliation on the complex projective 2-space, Ergodic Theory and Dynamical Systems 21 #3 (2001) 757–766 (with César Camacho). [slides · doi · MR 2002d:37080]
• Intersecting and trimming parametric meshes on finite-element shells, International Journal for Numerical Methods in Engineering 47 #4 (2000) 777–800 (with Luiz Cristovão Gomes Coelho and Marcelo Gattass). [doi]
• A unified approach for hierarchical adaptive tesselation of surfaces, ACM Transactions on Graphics 18 #4 (1999) 329–360 (with Luiz Velho and Jonas Gomes). [doi]
• Hierarchical generalized triangle strips, The Visual Computer 15 #1 (1999) 21–35 (with Luiz Velho and Jonas Gomes). [doi]
• A methodology for piecewise linear approximation of surfaces, Journal of the Brazilian Computer Society 3 #3 (1997) 30–42 (with Luiz Velho and Jonas Gomes).
• Adaptive enumeration of implicit surfaces with affine arithmetic, Computer Graphics Forum 15 #5 (1996) 287–296 (with Jorge Stolfi).
• IUP/LED: a portable user interface development tool, Software: Practice & Experience 26 #7 (1996) 737–762 (with Carlos Henrique Levy, Marcelo Gattass, Carlos Lucena, and Don Cowan). [doi]
• Lua: an extensible extension language, Software: Practice & Experience 26 #6 (1996) 635–652 (with Roberto Ierusalimschy and Waldemar Celes). [doi]
  First prize (technological category) in the II Compaq Award for Research and Development in Computer Science. This award is a joint venture of Compaq Computer in Brazil, the Brazilian Ministry of Science and Technology, and the Brazilian Academy of Sciences.
• Sampling implicit objects with physically-based particle systems, Computers & Graphics 20 #3 (1996) 365–375 (with Jonas Gomes). [doi]
• Computational morphology of curves, The Visual Computer 11 #2 (1995) 105–112 (with Jonas Gomes). [doi]
• A database management system for efficient storage of structural loadings, Computers & Structures 32 #5 (1989) 1025–1034 (with Marcelo Gattass). [doi]

Papers in refereed conferences

• Oversegmentation control for inexact graph matching: first results, Mathematical Morphology and its Applications to Signal and Image Processing (Proceedings of ISMM 2007), 375–386 (with Luís Augusto Consularo, Roberto M. Cesar Jr, and Isabelle Bloch). [slides]
• The evolution of Lua, Proceedings of ACM HOPL III, (2007) 2-1–2-26 (with Roberto Ierusalimschy and Waldemar Celes). [slides · doi]
• Robust adaptive meshes for implicit surfaces, Proceedings of SIBGRAPI 2006, 205–212 (with Afonso Paiva, Hélio Lopes, and Thomas Lewiner). [doi]
• Hardware-assisted rendering of CSG models, Proceedings of SIBGRAPI 2006, 139–146 (with Fabiano Segadaes Romeiro and Luiz Velho). [doi]
• Simple adaptive mosaic effects, Proceedings of SIBGRAPI 2005, 315–322 (with Geisa Martins Faustino). [slides · doi]
• Surface reconstruction for noisy point clouds, Proceedings of SGP 2005, 53–62 (with Nina Amenta, Boris Mederos and Luiz Velho).
• The implementation of Lua 5.0, Proceedings of SBLP 2005, 63–75 (with Roberto Ierusalimschy and Waldemar Celes). [slides]
• Robust smoothing of noisy point clouds, Geometric Design and Computing: Seattle 2003, Nashboro Press, 2004. ISBN 0-0-9728482-3-1 (with Boris Mederos and Luiz Velho).
• Moving least squares multiresolution surface approximation, Proceedings of SIBGRAPI 2003, 19–26 (with Boris Mederos and Luiz Velho). [IEEE]
• Approximating parametric curves with strip trees using affine arithmetic, Proceedings of SIBGRAPI 2002, 163–170 (with Jorge Stolfi and Luiz Velho). [slides · doi]
• Robust adaptive approximation of implicit curves, Proceedings of SIBGRAPI 2001, 10–17 (with Hélio Lopes and João Batista Oliveira). [slides · doi]
• Good approximations for the relative neighbourhood graph, Proceedings of 13th Canadian Conference on Computational Geometry (2001) 25–28 (with Diogo Vieira Andrade). [slides]
• The evolution of an extension language: a history of Lua, invited paper in Proceedings of SBLP 2001, B-14–B-28 (with Roberto Ierusalimschy and Waldemar Celes).
• Robust approximation of offsets and bisectors of plane curves, Proceedings of SIBGRAPI 2000, 139–145 (with João Batista Oliveira). [slides · IEEE]
• Interval methods for ray casting implicit surfaces with affine arithmetic, Proceedings of SIBGRAPI'99, 65–71 (with Affonso de Cusatis Junior and Marcelo Gattass). [doi]
• An algorithm for intersecting and trimming parametric meshes, Proceedings of SIBGRAPI'98, 86–93 (with Luiz Cristovão Gomes Coelho and Marcelo Gattass).
• Texturing composite deformable implicit objects, Proceedings of SIBGRAPI'98, 346–353 (with Ruben Zonenschein, Jonas Gomes, Luiz Velho, Luiz Henrique de Figueiredo, Mark Tigges, and Brian Wyvill). [project page]
• Controlling texture mapping onto implicit surfaces with particle systems, Proceedings of Implicit Surfaces'98, 131–138 (with Ruben Zonenschein, Jonas Gomes, and Luiz Velho). [IS'98]
• Optimal adaptive polygonal approximation of parametric surfaces, Proceedings of SIBGRAPI'96, 127–133 (with Luiz Velho). [SIBGRAPI'96]
• Surface intersection using affine arithmetic, Proceedings of Graphics Interface'96, 168–175 [GI'96]
• Adaptive enumeration of implicit surfaces with affine arithmetic, Proceedings of Implicit Surfaces'95, 161–170 (with Jorge Stolfi). [IS'95]
• The design and implementation of a language for extending applications, Proceedings of XXI Brazilian Seminar on Software and Hardware (1994) 273–283 (with Roberto Ierusalimschy and Waldemar Celes).
• Physically-based sampling of implicit objects, Proceedings of SIBGRAPI'92, 81–87 (with Jonas Gomes).
• Physically-based methods for polygonization of implicit surfaces, Proceedings of Graphics Interface'92, 250–257 (with Jonas Gomes, Demetri Terzopoulos, and Luiz Velho). [GI'92]

Papers submitted for publication

• Empirically good approximations for the relative neighbourhood graph, submitted to Pattern Recognition Letters (with Diogo Vieira Andrade).

Books

• Lua Programming Gems, Lua.org, December 2008. ISBN 978-85-903798-4-3 (organized and edited with Waldemar Celes and Roberto Ierusalimschy).
• Mathematical Optimization in Computer Graphics and Vision, The Morgan Kaufmann Series in Computer Graphics, Elsevier, April 2008. ISBN 0-12-715951-7 (with Luiz Velho, Paulo Cezar Carvalho, and Jonas Gomes).
• Implicit Objects in Computer Graphics, Springer-Verlag, July 2002. ISBN 0-387-98424-0 (with Luiz Velho and Jonas Gomes).
• Métodos de Otimização em Computação Gráfica, book for course in the 22nd Brazilian Mathematics Colloquium, IMPA, 1999 (with Luiz Velho, Paulo Cezar Carvalho, and Jonas Gomes).
• Self-Validated Numerical Methods and Applications, book for course in the 21st Brazilian Mathematics Colloquium, IMPA, 1997 (with Jorge Stolfi). [iv+116 pages, preface]
• Introdução à Geometria Computational, book for course in the 18th Brazilian Mathematics Colloquium, IMPA, 1991 (with Paulo Cezar Carvalho).

Other publications

• A hybrid method for computing apparent ridges, poster in SIBGRAPI 2009 (with Eric Jardim).
• Interview about Lua in Masterminds of Programming: Conversations with the Creators of Major Programming Languages, edited by Federico Biancuzzi and Shane Warden, O'Reilly, 2009, pp. 161–176. ISBN 0-596-51517-0 (with Roberto Ierusalimschy).
• Fracture patterns for non-photorealistic image rendering, poster in SIBGRAPI 2008 (with Anna Regina Corbo Costa).
• Region reconstruction from noisy samples, poster in SIBGRAPI 2007 (with Emilio Ashton Vital Brazil).
• Curve reconstruction from noisy data, poster in SIBGRAPI 2006 (with Emilio Ashton Vital Brazil and Ives Macêdo).
• Hardware-assisted CSG rendering, poster in SIGGRAPH 2006 (with Fabiano Segadaes Romeiro and Luiz Velho).
• Binding C/C++ objects to Lua, in M. Dickheiser (ed.), Game Programming Gems 6, Charles River Media, 2006, pp. 341–355. ISBN 1-58450-450-1 (with Waldemar Celes and Roberto Ierusalimschy).
• Programming advance control mechanisms with Lua coroutines, in M. Dickheiser (ed.), Game Programming Gems 6, Charles River Media, 2006, pp. 357–369. ISBN 1-58450-450-1 (with Waldemar Celes and Roberto Ierusalimschy).
• An introduction to affine arithmetic, TEMA 4 #3 (2003) 297–312 (with Jorge Stolfi).
• Revisiting adaptively sampled distance fields, Proceedings of SIBGRAPI 2001, 377 (with Luiz Velho and João Batista Oliveira).
• Texturing implicit surfaces with particle systems, SIGGRAPH'97 Visual Proceedings 172 (with Ruben Zonenschein, Jonas Gomes, and Luiz Velho). [project page · SIGGRAPH'97 · doi]
• Fast interval branch-and-bound methods for unconstrained global optimization with affine arithmetic, Technical Report 97-08, Institute of Computing, UNICAMP (with Ronald Van Iwaarden and Jorge Stolfi).
• Lua: an extensible embedded language, Dr. Dobb's Journal 21 #12 (Dec 1996) 26–33 (with Roberto Ierusalimschy and Waldemar Celes). [DDJ]
• The making of bs, a programmable button shell for X, The X Advisor 1 #3 (1995); revised for The Motif Developer. [original version]
• A topological data structure for hierarchical planar subdivisions, Technical Report CS-95-53, University of Waterloo (with Waldemar Celes, Marcelo Gattass, and Paulo Cezar Carvalho).
• Adaptive sampling of parametric curves, in A. Paeth (ed.), Graphics Gems V, Academic Press, 1995, pp. 173–178.
• Computational morphology of implicit curves, doctoral dissertation, IMPA, April 1992 (supervised by Jonas Gomes). [abstract]
• Many reviews for Mathematical Reviews.
• Many reviews for MathDL.
• Many contributions to Wikipedia.