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COMPGEOM
1987
ACM
15 years 6 months ago
Polygon Properties Calculated from the Vertex Neighborhoods
Calculating properties of polyhedra given only the set of the locations and neighborhoods of the vertices is easy. Possible properties include volume, surface area, and point cont...
Wm. Randolph Franklin
COMPGEOM
2008
ACM
15 years 4 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
148
Voted
COMPGEOM
2008
ACM
15 years 4 months ago
Robust construction of the three-dimensional flow complex
The Delaunay triangulation and its dual the Voronoi diagram are ubiquitous geometric complexes. From a topological standpoint, the connection has recently been made between these ...
Frédéric Cazals, Aditya G. Parameswa...
126
Voted
CGA
2008
15 years 2 months ago
Mobile 3D City Maps
ion and abstraction. By the end of the 20th century, technology had advanced to the point where computerized methods had revolutionized surveying and mapmaking practices. Now, the ...
Antti Nurminen
CAD
2004
Springer
15 years 2 months ago
A shape design system using volumetric implicit PDEs
Solid modeling based on partial differential equations (PDEs) can potentially unify both geometric constraints and functional requirements within a single design framework to mode...
Haixia Du, Hong Qin