Publicado em: 20/08/2012

Prof. Gabriel Taubin da Brown University palestra no INF

No dia 28 de agosto, terça-feira, às 14h, o prof. Gabriel Taubin, da Brown University, Estados Unidos, ministrará palestra no INF intitulada “Smooth Signed Distance Surface Reconstruction and Applications”. O evento acontecerá no Auditório José Mauro Volkmer de Castilho, setor 4, prédio 72.

Palestra: “Smooth Signed Distance Surface Reconstruction and Applications”

In this talk I will describe a new and simple variational formulation for the problem of reconstructing the surface geometry, topology, and color map of a 3D scene from a finite set of colored oriented points. These data sets are nowadays obtained using a variety of techniques, including 3D shape capture systems based on structured lighting, pasive multi-view stereo algorithms, and 3D laser scanning. In this formulation the implicit function is forced to be a smooth approximation of the signed distance function to the surface. The formulation allows for a number of different efficient discretizations, reduces to a finite dimensional least squares problem for all linearly parameterized families of functions, and does not require the specification of boundary conditions. The resulting algorithms are significantly simpler and easier to implement than alternative methods. This method is particularly good at extrapolating missing and/or irregularly sampled data. An efficient implementation based on a primal-graph octree-based hybrid finite element-finite difference discretization, and the Dual Marching Cubes isosurface extraction algorithm, is shown to produce high quality crack-free adaptive manifold polygon meshes. After the geometry and topology have been reconstructed, the method then smoothly extrapolates the color information from the points to the surface. Experimental evidence is presented to show that the resulting method produces high quality polygon meshes with smooth color maps, which accurately approximate the source colored oriented points. An open source implementation of this method is available for download. I will conclude describing applications to digital archaeology and 3D forensics.

Gabriel Taubin earned a Licenciado en Ciencias Matemáticas degree from the University of Buenos Aires, Argentina, and a Ph.D. degree in Electrical Engineering from Brown University. In 1990 he joined IBM, where during a thirteen years career in the Research Division he held various positions, including Research Staff Member and Research Manager. In 2003 he joined the Brown University School of Engineering as an Associate Professor of Engineering and Computer Science. While on sabbatical from IBM during the 2000-2001 academic year, he was appointed Visiting Professor of Electrical Engineering at the California Institute of Technology. While on sabbatical from Brown during the Spring semester of 2010, he was appointed Visiting Associate Professor of Media Arts and Sciences at MIT. Prof. Taubin is the current Editor-in-Chief of the IEEE Computer Graphics and Applications Magazine, he serves as a member of the Editorial Board of the Geometric Models journal, and has served as associate editor of the IEEE Transactions of Visualization and Computer Graphics. Prof. Taubin was named IEEE Fellow for his contributions to the development of three-dimensional geometry compression technology and multimedia standards, won the Eurographics 2002 Günter Enderle Best Paper Award, and was named IBM Master Inventor. He has made significant theoretical and practical contributions to the field now called Digital Geometry Processing: to 3D shape capturing and surface reconstruction, to geometric modeling, geometry compression, progressive transmission, signal processing, and display of discrete surfaces. The 3D geometry compression technology that he developed with his group was incorporated into the MPEG-4 standard, and became integral part of IBM products.