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STOC
2003
ACM
136views Algorithms» more  STOC 2003»
14 years 7 months ago
Alpha-shapes and flow shapes are homotopy equivalent
In this paper we establish a topological similarity between two apparently different shape constructors from a set of points. Shape constructors are geometric structures that tran...
Tamal K. Dey, Joachim Giesen, Matthias John
MVA
2000
127views Computer Vision» more  MVA 2000»
13 years 7 months ago
Geometric fusion for a hand-held 3D sensor
This article presents a geometric fusion algorithm developed for the reconstruction of 3D surface models from hand-held sensor data. Hand-held systems allow full 3D movement of th...
Adrian Hilton, John Illingworth
COMPGEOM
2008
ACM
13 years 9 months ago
Towards persistence-based reconstruction in euclidean spaces
Manifold reconstruction has been extensively studied for the last decade or so, especially in two and three dimensions. Recent advances in higher dimensions have led to new method...
Frédéric Chazal, Steve Oudot
VISUALIZATION
2002
IEEE
14 years 13 days ago
Direct Surface Extraction from 3D Freehand Ultrasound Images
This paper presents a new technique for the extraction of surfaces from 3D ultrasound data. Surface extraction from ultrasound data is challenging for a number of reasons includin...
Youwei Zhang, Robert Rohling, Dinesh K. Pai
SMA
2003
ACM
115views Solid Modeling» more  SMA 2003»
14 years 24 days ago
Estimating the in/out function of a surface represented by points
We present a method to estimate the in/out function of a closed surface represented by an unorganized set of data points. From the in/out function, we compute an approximation of ...
Vinícius Mello, Luiz Velho, Gabriel Taubin