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COMPGEOM
1999
ACM
14 years 4 months ago
The Path of a Triangulation
We define the path of a pseudo-triangulation, a data structure generalizing the path of a triangulation of a point set. This structure allows us to use divide-andconquer type of ...
Oswin Aichholzer
COMPGEOM
2010
ACM
14 years 4 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton
DGCI
2000
Springer
14 years 4 months ago
Reconstruction of Discrete Sets with Absorption
A generalization of a classical discrete tomography problem is considered: Reconstruct binary matrices from their absorbed row and columns sums, i.e., when some known absorption is...
Attila Kuba, Maurice Nivat
DGCI
2000
Springer
14 years 4 months ago
A New Means for Investigating 3-Manifolds
The paper presents a new method of investigating topological properties of three-dimensional manifolds by means of computers. Manifolds are represented as finite cell complexes. Th...
Vladimir Kovalevsky
DGCI
2000
Springer
14 years 4 months ago
Digital Jordan Curve Theorems
The importance of digital geometry in image processing is well documented. To understand global properties of digital spaces and manifolds we need a solid understanding of local pr...
Christer O. Kiselman
DGCI
2000
Springer
14 years 4 months ago
Deformable Modeling for Characterizing Biomedical Shape Changes
Abstract. We present a new algorithm for modeling and characterizing shape changes in 3D image sequences of biomedical structures. Our algorithm tracks the shape changes of the obj...
Matthieu Ferrant, Benoit M. Macq, Arya Nabavi, Sim...
DGCI
2000
Springer
14 years 4 months ago
Homotopy in Digital Spaces
Rafael Ayala, Eladio Domínguez, Angel R. Fr...
COMPGEOM
2000
ACM
14 years 4 months ago
Fast software for box intersections
We present fast implementations of a hybrid algorithm for reporting box and cube intersections. Our algorithm initially takes a divide-and-conquer approach and switches to simpler...
Afra Zomorodian, Herbert Edelsbrunner