CONSTRAINED QUADRILATERAL MESHES OF BOUNDED SIZE (2008)
Suneeta Ramaswami, Marcelo Siqueira, Tessa Sundaram, Jean Gallier, James Gee
We introduce a new algorithm to convert triangular meshes of polygonal regions, with or without holes, into strictly convex quadrilateral meshes of small bounded size. Our algorithm includes all...
5 6 Topological Repairing of 3D Digital Images (2008)
Marcelo Siqueira, Longin Jan Latecki, Nicholas Tustison, Jean Gallier, James Gee
Abstract We present here a new randomized algorithm for repairing the topology of objects represented by 3D binary digital images. By “repairing the topology”, we mean a sys-and optimized for...
Marcelo Siqueira, Jean Gallier, Longin Jan Latecki
A 3D binary digital image is said to be well-composed if and only if the set of points in the faces shared by the voxels of foreground and background points of the image is a surface in R 3....
Construction of C∞ Surfaces from Triangular Meshes Using Parametric Pseudo-Manifolds (2008)
Siqueira, Marcelo, Xu, Dianna, Gallier, Jean H
We present a new constructive solution for the problem of fitting a smooth surface to a given triangle mesh. Our construction is based on the manifold-based approach pioneered by Grimm and Hughes....
Marcelo Siqueira, Jean Gallier, Longin Jan Latecki
A 3D binary digital image is said to be well-composed if and only if the set of points in the faces shared by the voxels of foreground and background points of the image is a surface in R 3....
Topological Repairing of 3D Digital Images (2008)
Siqueira, Marcelo, Latecki, Longin Jan, Tustisin, Nicholas, Gallier, Jean H, Gee, James C.
We present here a new randomized algorithm for repairing the topology of objects represented by 3D binary digital images. By "repairing the topology", we mean a systematic way of modifying a given...
Construction of c ∞ surfaces from triangular meshes using parametric pseudo-manifolds (2008)
Marcelo Siqueira, Dianna Xu, Jean Gallier
Sophia-Antipolis, France, during the summer of 2007. We are grateful to Nicholas Ayache and the members of the ASCLEPIOS group for their hospitality. Some people have read incomplete versions of the...
Well-Composedness and the Topological Repairing of 2-D and 3-D Digital Images (2007)
Tustison, Nicholas, Siqueira, Marcelo, Gee, James
In an earlier submission, we considered 2-D and 3-D digital binary images topologically characterized by their well-composedness. Well-composed images exhibit important topological and geometrical...
Topological equivalence between a 3D object and the reconstruction of its digital image (2007)
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqueira
Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and, in general, there exists...
M.: Topological equivalence between a 3d object and the reconstruction of its digital image (2007)
Peer Stelldinger, Longin Jan Latecki, Marcelo Siqueira
Abstract — Digitization is not as easy as it looks. If one digitizes a 3D object even with a dense sampling grid, the reconstructed digital object may have topological distortions and in general...
Well-Composed Image Filters for Repairing 2-D and 3-D Binary Images (2006)
Tustison, Nicholas, Siqueira, Marcelo, Gee, James
We consider 2-D and 3-D digital binary images characterized by their well-composedness. Well-composed images exhibit important topological and geometrical properties not shared by their ill-composed...
Mesh generation from imaging data (2006)
Digital images from computerized tomography (CT) and magnetic resonance (MR) scanners can be used to create computer models of anatomical shapes. These models are typically used in biomedical...
Graduate Group Chairperson (2006)
Marcelo Siqueira, Jean Gallier, Rajeev Alur, Marcelo Siqueira
To my wife Poliana, my daughter Sofia, and my parents Roberto and Dilma. iii Acknowledgments First and foremost, I would like to thank my thesis advisor, Jean Gallier, for his guidance and advice...
Making 3D Binary Digital Images Well-Composed (2004)
Siqueira, Marcelo, Latecki, Longin Jan, Gallier, Jean
A 3D binary digital image is said to be well-composed if and only if the set of points in the faces shared by the voxels of foreground and background points of the image is a surface in R3....
N-D Linear Time Exact Signed Euclidean Distance Transform (2003)
Tustison, Nicholas J., Siqueira, Marcelo, Gee, James C.
Fast computation of distance transforms find direct application in various computer vision problems. Currently there exists two image filters in the ITK library which can be used to generate distance...