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» Computational geometry: a retrospective
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ACS
2007
13 years 10 months ago
Algebra and Geometry of Rewriting
We present various results of the last twenty years converging towards a homotopical theory of computation. This new theory is based on two crucial notions : polygraphs (introduce...
Yves Lafont
COMGEO
2008
ACM
13 years 10 months ago
Recursive geometry of the flow complex and topology of the flow complex filtration
The flow complex is a geometric structure, similar to the Delaunay tessellation, to organize a set of (weighted) points in Rk. Flow shapes are topological spaces corresponding to ...
Kevin Buchin, Tamal K. Dey, Joachim Giesen, Matthi...
CG
1999
Springer
13 years 9 months ago
A visibility algorithm for hybrid geometry- and image-based modeling and rendering
Hybrid geometry- and image-based modeling and rendering systems use photographs taken of a real-world environment and mapped onto the surfaces of a 3D model to achieve photorealis...
Thomas A. Funkhouser
SMA
2003
ACM
120views Solid Modeling» more  SMA 2003»
14 years 3 months ago
Three-dimensional halfspace constructive solid geometry tree construction from implicit boundary representations
This paper presents a new method to compute constructive solid geometry (CSG) tree representations of an object whose faces consist of planar and non-planar surfaces. The algorith...
Suzanne F. Buchele, Richard H. Crawford
CVPR
2012
IEEE
12 years 13 days ago
A theory of multi-layer flat refractive geometry
Flat refractive geometry corresponds to a perspective camera looking through single/multiple parallel flat refractive mediums. We show that the underlying geometry of rays corres...
Amit Agrawal, Srikumar Ramalingam, Yuichi Taguchi,...