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» The Complexity of Separating Points in the Plane
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80
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CGF
2005
106views more  CGF 2005»
14 years 9 months ago
Hierarchical Penumbra Casting
We present a novel algorithm for rendering physically-based soft shadows in complex scenes. Instead of casting shadow rays, we place both the points to be shaded and the samples o...
Samuli Laine, Timo Aila
78
Voted
FOCS
2007
IEEE
15 years 4 months ago
On the Hardness and Smoothed Complexity of Quasi-Concave Minimization
In this paper, we resolve the smoothed and approximative complexity of low-rank quasi-concave minimization, providing both upper and lower bounds. As an upper bound, we provide th...
Jonathan A. Kelner, Evdokia Nikolova
SIGGRAPH
2010
ACM
15 years 2 months ago
Line space gathering for single scattering in large scenes
We present an efficient technique to render single scattering in large scenes with reflective and refractive objects and homogeneous participating media. Efficiency is obtained...
Xin Sun, Kun Zhou, Stephen Lin, Baining Guo
CAIP
2009
Springer
143views Image Analysis» more  CAIP 2009»
15 years 4 months ago
Finding Intrinsic and Extrinsic Viewing Parameters from a Single Realist Painting
In this paper we studied the geometry of a three-dimensional tableau from a single realist painting – Scott Fraser’s Three way vanitas (2006). The tableau contains a carefully ...
Tadeusz Jordan, David G. Stork, Wai L. Khoo, Zhiga...
AAIM
2007
Springer
141views Algorithms» more  AAIM 2007»
15 years 3 months ago
An Almost Linear Time 2.8334-Approximation Algorithm for the Disc Covering Problem
The disc covering problem asks to cover a set of points on the plane with a minimum number of fix-sized discs. We develop an O(n(log n)2 (log log n)2 ) deterministic time 2.8334-a...
Bin Fu, Zhixiang Chen, Mahdi Abdelguerfi