Dr. Lopes has publshed more than 60 papers in the last decade. He has 79 citations and h-index = 6 on the Web of Science database, and 161 citations and h-index = 8 on the SCOPUS database. It follows a selection of his publications grouped by area and classified according to their kind (Journal paper, Conference paper, Chapter on book, Book).
- Data structures and algorithms
1) Topological mesh operators, T. Lewiner, E. Medeiros, H. Lopes, G. Tavares, L. Velho, Computer Aided Geometric Design 27(1): pp. 1-22 (2010)
2) Fast generation of pointerless octree duals, T. Lewiner, V. Mello, A. Peixoto, Sinesio Pesco, Helio Lopes, SGP 2010, Computer Graphics Forum 29(5): pp. 1661-1669 (2010)
3) Statistical optimization of octree searches, R. Castro, T. Lewiner, H. Lopes, G. Tavares, A. Bordignon, Computer Graphics Forum 27(6): pp. 1557-1566 (2008)
4) CHF: a scalable topological data structure for tetrahedral meshes, M. Lage, H. Lopes, T. Lewiner, L. Velho, Proceedings of the XVIII Brazilian Symposium on Computer Graphics and Image Processing: pp. 349-356 (2005)
5) A stratification approach for modeling 2-cell complexes, S. Pesco, H. Lopes, G. Tavares, Computers & Graphics 28(2): pp. 235-247 (2004)
6) Handlebody representation for surfaces and its applications to terrain modeling, M. Grivet, A. Xavier, H. Lopes, S. Pesco, G. Tavares, International Journal of Shape Modeling 9(1): pp. 61-77 (2003)
7) Structural operators for modeling 3-manifolds, H. Lopes, G. Tavares, Proceedings of the 4th ACM SIGGRAPH Symposium on Solid Modeling and its Applications 1997: pp. 10-18 (1997).
8) Handlebody representation for surfaces and Morse operators, H. Lopes, A. Castelo, G. Tavares, Proceedings of the Curves and Surfaces in Computer Vision and Graphics III, SPIE: pp. 270-283 (1992)
- Computer graphics and visualization
1) Meshless Helmholtz-Hodge decomposition, F. Petronetto, A. Paiva, M. Lage, G. Tavares, H. Lopes, T. Lewiner. IEEE Transactions on Visualization and Computer Graphics 16(2): pp. 338-342 (2010)
2) Support vectors learning for vector field reconstruction, M. Lage, R. Castro, F. Petronetto, A. Bordignon, G. Tavares, T. Lewiner, H. Lopes, XXII Brazilian Symposium on Computer Graphics and Image Processing: pp. 104-111 (2009)
3) Learning good views through intelligent galleries,T. Vieira, A. Bordignon, A. Peixoto, G. Tavares, H. Lopes, L. Velho, T. Lewiner, Eurographics 2009, Computer Graphics Forum 28(2): pp. 717-726 (2009)
4) Approximations by smooth transitions in binary space partitions, M. Lage, A. Bordignon, F. Petronetto, A. Veiga, G. Tavares, T. Lewiner, H. Lopes, XXI Brazilian Symposium on Computer Graphics and Image Processing: pp. 230-236 (2008)
5) Regularized Implicit Surface Reconstruction from Points and Normals, B. Medeiros, M. Lage, S. Arouca, F. Petronetto, T. Lewiner, L. Velho, H. Lopes, Journal of the Brazilian Computer Society 13: p. 7-16 (2007)
6) Exploratory visualization based on multidimensional transfer functions and star coordinates, A. Bordignon, R. Castro, H. Lopes, T. Lewiner, G. Tavares, XIX Brazilian Symposium on Computer Graphics and Image Processing: pp. 273-280 (2006)
7) Vector field reconstruction from sparse samples with applications, M. Lage, F. Petronetto, A. Paiva, H. Lopes, T. Lewiner, G. Tavares, XIX Brazilian Symposium on Computer Graphics and Image Processing: pp. 297-304 (2006)
8) Extraction of terrain data from digitised contours, M. Maia, A. Xavier, H. Lopes, S. Pesco, G. Tavares, International Journal of Shape Modeling 7(1): p. 59-74 (2001)
- Geometry processing
1) Topology aware vector field denoising, R. Nascimento, J. Paixão, H. Lopes, T. Lewiner XXIII Conference on Graphics, Patterns and Images: (2010)
2) Random walks for vector field denoising, J. Paixão, M. Lage, F. Petronetto, A. Bordignon, S. Pesco, G. Tavares, T. Lewiner, H. Lopes, XXII Brazilian Symposium on Computer Graphics and Image Processing: pp. 112-119 (2009)
3) GEncode: geometry-driven compression for general meshes, T. Lewiner, M. Craizer, H. Lopes, S. Pesco, L. Velho, E. Medeiros, Computer Graphics Forum 25(4): pp. 685-695 (2006)
4) Extraction and compression of hierarchical isocontours from image data, T. Lewiner, L. Velho, H. Lopes, V. Mello, Computerized Medical Imaging and Graphics 30(4): pp. 231-242 (2006)
5) Point set compression through BSP quantization, A. Bordignon, T. Lewiner, H. Lopes, G. Tavares, R. Castro, XIX Brazilian Symposium on Computer Graphics and Image Processing: pp. 229-236 (2006)
6) GEncode: geometry-driven compression in arbitrary dimension and co-dimension, T. Lewiner, M. Craizer, H. Lopes, S. Pesco, L. Velho, E. Medeiros, XVIII Brazilian Symposium on Computer Graphics and Image Processing: pp. 249-256 (2005)
7) Stellar mesh simplification using probabilistic optimization, A. Wilson Vieira, T. Lewiner, L. Velho, H. Lopes, G. Tavares, Computer Graphics Forum 23(4): pp. 825-838 (2004)
8) Simplicial isosurface compression, T. Lewiner, L. Velho, H. Lopes, V. Mello, Vision, Modeling, and Visualization: pp. 299-306 (2004)
9) Hierarchical isocontours extraction and compression, T. Lewiner, L. Velho, H. Lopes, V. Mello, XVII Brazilian Symposium on Computer Graphics and Image Processing: pp. 234-241 (2004)
10) Efficient Edgebreaker for surfaces with arbitrary topology, T. Lewiner, H. Lopes, J. Rossignac, A. W. Vieira, Proceedings of the XVII Brazilian Symposium on Computer Graphics and Image Processing: pp.218-225 (2004)
11) Edgebreaker: A simple implementation for surface with handles, H. Lopes, J. Rossignac, A. Safonova, A. Szymczac, G. Tavares, Computers & Graphics, Inglaterra, 27(4): pp. 553-567, (2003)
12) Fast stellar mesh simplification, A. W. Vieira, L. Velho, H. Lopes, G. Tavares, T. Lewiner, XVI Brazilian Symposium on Computer Graphics and Image Processing: pp. 27-34 (2003)
13) Edgebreaker: A simple compression for surface with handles, H. Lopes, J. Rossignac, A. Safonova, A. Szymczac, G. Tavares, Proceedings of the 7th ACM SIGGRAPH Symposium on Solid Modeling and Its Applications: pp. 289-296 (2002)
- Computational geometry and topology
1) Curvature and torsion estimators based on parametric curve fitting, T. Lewiner, J. Gomes, H. Lopes, M. Craizer, Computers & Graphics 29(5): pp. 641-655 (2005)
2) Arc-length based curvature estimator, T. Lewiner, J. Gomes, H. Lopes, M. Craizer, XVII Brazilian Symposium on Computer Graphics and Image Processing): pp. 250-257 (2004)
3) Applications of Forman's discrete Morse theory to topology visualization and mesh compression, T. Lewiner, H. Lopes, G. Tavares, IEEE Transactions on Visualization and Computer Graphics 10(5): pp. 499-508 (2004)
4) Toward optimality in discrete Morse theory, T. Lewiner, H. Lopes, G. Tavares, Experimental Mathematics 12(3): pp. 271-285 (2003)
5) Optimal discrete Morse functions for 2-manifolds, T. Lewiner, H. Lopes, G. Tavares, Computational Geometry 26(3): pp. 221-233 (2003)
6) Visualizing Forman's discrete vector fields, T. Lewiner, H. Lopes, G. Tavares, In: Konrad Polthier; Hans-Christian Hege. (Org.). Visualization and Matematics III. 1 ed. Berlim: Springer Verlag: pp. 95-112 (2002)
- Mesh generation and simulation
1) Flows with suspended and floating particles, M. Lage, H. Lopes, M. Carvalho, Journal of Computational Physics, accepted for publication, (2011)
2) Role of arches in the generation of shear bands in a dense 3D granular system under shear, L. Sigaud, A. Bordignon, H. Lopes, T. Lewiner, G. Tavares, W. Morgado, Journal of Physics: Conference Series 246(1): paper 2016 (2010)
3) On 2D Solid Alpha-Complexes of Poisson Disc Samplings, E. Medeiros, L. Velho, T. Lewiner, H. Lopes, International Journal of Shape Modeling 15(1-2): pp. 77-91 (2009)
4) Arch generated shear bands in granular systems, A. Bordignon, L. Sigaud, G. Tavares, H. Lopes, T. Lewiner, W. Morgado, Physica A: Statistical Mechanics and its Applications 388(11): pp. 2099-2108 (2009)
5) Flow with suspended particles using fictitious domain and Lagrange multipliers: A fully implicit fully coupled finite elements approach, M. Lage, H. Lopes, M. Carvalho, Proceedings of the 20th International Congress of Mechanical Engineering: (2009).
6) Robust adaptive meshes for implicit surfaces, A. Paiva, H. Lopes, T. Lewiner, L. H. de Figueiredo, Proceedings of the XIX Brazilian Symposium on Computer Graphics and Image Processing: pp. 205-212 (2006)
7) Restricted BPA: Applying Ball-Pivoting on the Plane, E. Medeiros, L. Velho, H. Lopes. Proceedings of the XVII Brazilian Symposium on Computer Graphics and Image Processing : pp. 372-379 (2004)
8) A Topological Framework for Advancing Front Triangulation, E.s Medeiros, L. Velho, H. Lopes. Proceedings of the XVI Brazilian Symposium on Computer Graphics and Image Processing): pp. 45-50 (2003)
9) Efficient implementation of marching cubes cases with topological guarantees, T. Lewiner, H. Lopes, A. W. Vieira, G. Tavares, Journal of Graphics Tools 8(2): pp. 1-15 (2003)
10) Robust adaptive polygonal approximation of implicit curves, H. Lopes, J. B. Oliveira, L. H. de Figueiredo. Computers & Graphics 26(6): pp. 841-852 (2002)
11) Single-valued tubular surfaces intersection using interval arithmetic, H. Lopes, S. Pesco. Mathematical Methods for Computer Aided Geometric Design: pp. 253-262 (2001)
12) Dealing with topological singularities in volumetric reconstruction, H. Lopes, L. G. Nonato, S. Pesco, G. Tavares. Curve and Surface Design: pp. 229-238 (2000)
- Quantitative methods for insurance and finance
1) A non-parametric method for incurred but not reported claim reserve estimation, H. Lopes, J. Barcellos, J. Kubrusly, C. Fernandes, International Journal for Uncertainty Quantification (2011)
2) A new tree based regression scheme with application to yield curve forecasting, J. Kubrusly, H. Lopes, L. Vereda. 4th Brazilian Conference on Statistical Modelling in Insurance and Finance: (2009)
3) A hybrid Chain Ladder and Gaussian Process Regression method for IBNR estimation, J. Kubrusly, M. Dias, H. Lopes, M. Lage: 4th Brazilian Conference on Statistical Modelling in Insurance and Finance: (2009)
4) Coeficientes aleatórios de equações diferenciais ordinárias lineares. B. Pagniocelli, C. F. B. Palmeira, H. Lopes, Matemática Universitária 45: p. 44-50 (2008)
5) Estimating VAR models for the term structure of interest rates, L. Vereda, H. Lopes, R. Fukuda. Insurance: Mathematics and Economics 42(2): pp. 548-559 (2008)
6) Introdução à simulação estocástica para atuária e financas usando R, H. Lopes, A. C. Frery, L. Vereda, Book on the series Notas de Matemática Aplicada e Computacional da SBMAC 33: 75 p (2008)
7) Um método probabilístico para cálculo de reservas do tipo IBNR, J. Kubrusly, H. Lopes, A. Veiga, Revista Brasileira de Risco e Seguro 4(7): pp. 17-46 (2008)
8) Forecasting the term structure of interest rates by the use of Support Vector Regression, M. Dias, H. Lopes, L. Vereda, 3rd Brazilian Conference on Statistical Modeling in Insurance and Finance: (2007)
9) Simple interval estimation for IBNR reserves, V. Lopes, H. Lopes, A. Veiga, J. Kubrusly, 2nd Brazilian Conference on Statistical Modelling in Insurance and Finance: (2005)
10) Yet another IBNR estimator, J. Kubrusly, H. Lopes, A. Veiga, 2nd Brazilian Conference on Statistical Modelling in Insurance and Finance: (2005)
11) Dealing with uncertanty in efficient frontier construction by the use of interval arithmetic, L. Vereda, D. U. Pesco, S. Pesco, H. Lopes, 2nd Brazilian Conference on Statistical Modelling in Insurance and Finance: (2005)