C S Chang, S Klasky, J Cummings, R. Samtaney, A Shoshani, L Sugiyama, ...
doi:10.1088/1742-6596/125/1/012042 Toward a first-principles integrated simulation of tokamak edge plasmas
Second Order Smoothness over Extraordinary Vertices (2010)
R. Scopigno, D. Zorin, Charles Loop
Catmull & Clark subdivision is now a standard for smooth free-form surface modeling. These surfaces are everywhere curvature continuous except at points corresponding to vertices not incident on...
Signal-Specialized Parameterization for Piecewise Linear Reconstruction (2009)
R. Scopigno, D. Zorin, Geetika Tewari, John Snyder, Pedro V. S, Steven J. Gortler
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our...
Abstract Comparing Point Clouds (2009)
R. Scopigno, D. Zorin, Facundo Mémoli, Guillermo Sapiro
Point clouds are one of the most primitive and fundamental surface representations. A popular source of point clouds are three dimensional shape acquisition devices such as laser range scanners....
Laplacian Surface Editing (2008)
R. Scopigno, D. Zorin, O. Sorkine, D. Cohen-or, Y. Lipman, M. Alexa, ...
Surface editing operations commonly require geometric details of the surface to be preserved as much as possible. We argue that geometric detail is an intrinsic property of a surface and that,...
Parameterization of Triangle Meshes over Quadrilateral Domains (2008)
R. Scopigno, D. Zorin, Ioana Boier-martin, Holly Rushmeier, Jingyi Jin
We present a method for parameterizing irregularly triangulated input models over polyhedral domains with quadrilateral faces. A combination of center-based clustering techniques is used to generate...
Registration of Point Cloud Data from a Geometric Optimization Perspective Abstract (2008)
R. Scopigno, D. Zorin, Niloy J. Mitra, Natasha Gelf, Helmut Pottmann, Leonidas Guibas
We propose a framework for pairwise registration of shapes represented by point cloud data (PCD). We assume that the points are sampled from a surface and formulate the problem of aligning two PCDs...
Connectivity Transformation for Mesh Metamorphosis Abstract (2008)
R. Scopigno, D. Zorin, Minsu Ahn, Seungyong Lee, Hans-peter Seidel
In previous mesh morphing techniques, the vertex set and connectivity of an in-between mesh are fixed and only the vertex positions are interpolated between input meshes. With this restriction, to...
Fast Collision Detection between Massive Models using Dynamic Simplification (2008)
R. Scopigno, D. Zorin, Sung-eui Yoon, Brian Salomon, Ming Lin, Dinesh Manocha
We present a novel approach for collision detection between large models composed of tens of millions of polygons. Each model is represented as a clustered hierarchy of progressive meshes (CHPM). The...
Registration of Point Cloud Data from a Geometric Optimization Perspective Abstract (2008)
R. Scopigno, D. Zorin, Niloy J. Mitra, Natasha Gelf, Helmut Pottmann, Leonidas Guibas
We propose a framework for pairwise registration of shapes represented by point cloud data (PCD). We assume that the points are sampled from a surface and formulate the problem of aligning two PCDs...
Turbine(exterior) Turbine(interior) Simplified Turbine Boolean Operations (2008)
Figure 1: This 1.7M triangle model of a turbine has a high genus and many holes in the interior. We highlight the application of our novel topology preserving voxelization, simplification and...
Differentiable Parameterization of Catmull-Clark Subdivision Surfaces (2008)
R. Scopigno, D. Zorin, Ioana Boier-martin, Denis Zorin
Subdivision-based representations are recognized as important tools for the generation of high-quality surfaces for Computer Graphics. In this paper we describe two parameterizations of Catmull-Clark...
Two Algorithms for Fast Reclustering of Dynamic Meshed Surfaces (2008)
R. Scopigno, D. Zorin, Nathan A. Carr, John C. Hart
Numerous mesh algorithms such as parametrization, radiosity, and collision detection require the decomposition of meshes into a series of clusters. In this paper we present two novel approaches for...
Eurographics Symposium on Geometry Processing (2004) (2008)
R. Scopigno, D. Zorin, Leila De Floriani, David Greenfieldboyce, Annie Hui
A data structure for non-manifold simplicial d-complexes
A Remeshing Approach to Multiresolution Modeling Abstract (2008)
R. Scopigno, D. Zorin, Mario Botsch, Leif Kobbelt
Providing a thorough mathematical foundation, multiresolution modeling is the standard approach for global surface deformations that preserve fine surface details in an intuitive and plausible...
Iso-charts: Stretch-driven Mesh Parameterization using Spectral Analysis (2008)
R. Scopigno, D. Zorin, Kun Zhou, John Snyder, Baining Guo
We describe a fully automatic method, called iso-charts, to create texture atlases on arbitrary meshes. It is the first to consider stretch not only when parameterizing charts, but also when forming...
Shape Optimization Using Reflection Lines (2008)
Er Belyaev, Michael Garl, E. Tosun, Y. I. Gingold, J. Reisman, D. Zorin
Many common objects have highly reflective metallic or painted finishes. Their appearance is primarily defined by the distortion the curved shape of the surface introduces in the reflections of...
Abstract Geometric Texture Synthesis by Example (2008)
R. Scopigno, D. Zorin, Pravin Bhat, Stephen Ingram
Patterns on real-world objects are often due to variations in geometry across the surface. Height fields and other common parametric methods cannot synthesize many forms of geometric surface texture...
Persistence Barcodes for Shapes (2008)
R. Scopigno, D. Zorin, Gunnar Carlsson, Afra Zomorodian, Anne Collins, Leonidas Guibas
In this paper, we initiate a study of shape description and classification via the application of persistent homology to two tangential constructions on geometric objects. Our techniques combine the...
Shape Segmentation Using Local Slippage Analysis Abstract (2008)
R. Scopigno, D. Zorin, Natasha Gelf, Leonidas J. Guibas
We propose a method for segmentation of 3D scanned shapes into simple geometric parts. Given an input point cloud, our method computes a set of components which possess one or more slippable motions:...
Abstract Symmetry Descriptors and 3D Shape Matching (2008)
R. Scopigno, D. Zorin, Michael Kazhdan, Thomas Funkhouser, Szymon Rusinkiewicz
In this paper, we present the Symmetry Descriptors of a 3D model. This is a collection of spherical functions that describes the measure of a model’s rotational and reflective symmetry with respect...
Two Algorithms for Fast Reclustering of Dynamic Meshed Surfaces (2008)
R. Scopigno, D. Zorin, Nathan A. Carr, John C. Hart
Numerous mesh algorithms such as parametrization, radiosity, and collision detection require the decomposition of meshes into a series of clusters. In this paper we present two novel approaches for...
Spectral Surface Reconstruction from Noisy Point Clouds (2008)
R. Scopigno, D. Zorin, Ravikrishna Kolluri, Jonathan Richard, Shewchuk James
Abstract: We introduce a noise-resistant algorithm for reconstructing a watertight surface from point cloud data. It forms a Delaunay tetrahedralization, then uses a variant of spectral graph...
Toward a first-principles integrated simulation of tokamak edge plasmas (2008)
Chang, C. S., Klasky, S., Cummings, J., Samtaney, R., Shoshani, A., Sugiyama, L., ...
Performance of the ITER is anticipated to be highly sensitive to the edge plasma condition. The edge pedestal in ITER needs to be predicted from an integrated simulation of the necessary...
A Free-Space Adaptive FMM-Based PDE Solver in Three Dimensions (2008)
H. Langston, L. Greengard, D. Zorin
We present a kernel-independent, adaptive fast multipole method (FMM) of arbitrary order accuracy for solving elliptic PDEs in three dimensions with radiation boundary conditions. The algorithm...
Signal-Specialized Parameterization for Piecewise Linear Reconstruction (2007)
R. Scopigno, D. Zorin, Geetika Tewari, John Snyder, Pedro V. S, Steven J. Gortler
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our...
Smooth Subdivision of Tetrahedral Meshes (2007)
R. Scopigno, D. Zorin, S. Schaefer, J. Hakenberg, J. Warren
We describe a new subdivision scheme for unstructured tetrahedral meshes. Previous tetrahderal schemes based on generalizations of box splines have encoded arbitrary directional preferences in their...
Abstract Symmetry Descriptors and 3D Shape Matching (2007)
R. Scopigno, D. Zorin, Michael Kazhdan, Thomas Funkhouser, Szymon Rusinkiewicz
In this paper, we present the Symmetry Descriptors of a 3D model. This is a collection of spherical functions that describes the measure of a model’s rotational and reflective symmetry with respect...
Signal-Specialized Parameterization for Piecewise Linear Reconstruction (2007)
R. Scopigno, D. Zorin, Geetika Tewari, John Snyder, Pedro V. S, Steven J. Gortler
We propose a metric for surface parameterization specialized to its signal that can be used to create more efficient, high-quality texture maps. Derived from Taylor expansion of signal error, our...
A Remeshing Approach to Multiresolution Modeling Abstract (2007)
R. Scopigno, D. Zorin, Mario Botsch, Leif Kobbelt
Providing a thorough mathematical foundation, multiresolution modeling is the standard approach for global surface deformations that preserve fine surface details in an intuitive and plausible...
Alexa, M., Angelidis, A., Cani, M.-P., Singh, K., Zorin, D.
The course will present the state-of-the-art in digigtal modeling techniques, both in commercial software and academic research. The goal of this course is to impart the audience with an...
R. Scopigno, D. Zorin, S. Schaefer, J. Hakenberg, J. Warren
We describe a new subdivision scheme for unstructured tetrahedral meshes. Previous tetrahderal schemes based on generalizations of box splines have encoded arbitrary directional preferences in their...
Lofting Curve Networks using Subdivision Surfaces (2004)
R. Scopigno, S. Schaefer, J. Warren, D. Zorin, D. Zorin
Lofting is a traditional technique for creating a curved shape by first specifying a network of curves that approximates the desired shape and then interpolating these curves with a smooth surface....
Persistence Barcodes for Shapes (2004)
R. Scopigno, D. Zorin, Gunnar Carlsson, Afra Zomorodian, Anne Collins, Leonidas Guibas
In this paper, we initiate a study of shape description and classification via the application of persistent homology to two tangential constructions on geometric objects. Our techniques combine the...
Spectral Surface Reconstruction from Noisy Point Clouds (2004)
R. Scopigno, D. Zorin, James F. O'Brien, Ravikrishna Kolluri, Jonathan Richard, Jonathan Richard Shewchuk
We introduce a noise-resistant algorithm for reconstructing a watertight surface from point cloud data.
Simplification and Improvement of Tetrahedral Models for Simulation (2004)
R. Scopigno, D. Zorin, B. Cutler, J. Dorsey, L. McMillan
Most 3D mesh generation techniques require simplification and mesh improvement stages to prepare a tetrahedral model for efficient simulation. We have developed an algorithm that both reduces the...
Topology Preserving Surface Extraction Using Adaptive Subdivision (2004)
R. Scopigno, D. Zorin, Gokul Varadhan, Shankar Krishnan, Tvn Sriram, Dinesh Manocha
We address the problem of computing a topology preserving isosurface from a volumetric grid using Marching Cubes for geometry processing applications. We present a novel topology preserving...
Seamless Texture Atlases (2004)
R. Scopigno, D. Zorin, Seamless Texture Atlases, Budirijanto Purnomo, Jonathan D. Cohen, Subodh Kumar
Texture atlas parameterization provides an effective way to map a variety of color and data attributes from 2D texture domains onto polygonal surface meshes. However, the individual charts of such...
Lofting curve networks using subdivision surfaces (2004)
S. Schaefer, J. Warren, D. Zorin
Lofting is a traditional technique for creating a curved shape by first specifying a network of curves that approximates the desired shape and then interpolating these curves with a smooth surface....