Power Diagrams: Properties, Algorithms and Applications

1987 ◽  
Vol 16 (1) ◽  
pp. 78-96 ◽  
Author(s):  
F. Aurenhammer
Keyword(s):  
Power Diagrams

scholarly journals Restricted Power Diagrams on the GPU

2021 ◽  
Vol 40 (2) ◽  
pp. 1-12
Author(s):  
J. Basselin ◽  
L. Alonso ◽  
N. Ray ◽  
D. Sokolov ◽  
S. Lefebvre ◽  
...  
Keyword(s):  
Power Diagrams

On Optimal Weighted Balanced Clusterings: Gravity Bodies and Power Diagrams

2012 ◽  
Vol 26 (2) ◽  
pp. 415-434 ◽  
Author(s):  
Andreas Brieden ◽  
Peter Gritzmann
Keyword(s):  
Power Diagrams

Optimal power diagrams via function approximation

2018 ◽  
Vol 102 ◽  
pp. 52-60 ◽  
Author(s):  
Yanyang Xiao ◽  
Zhonggui Chen ◽  
Juan Cao ◽  
Yongjie Jessica Zhang ◽  
Cheng Wang
Keyword(s):  
Function Approximation ◽  
Power Diagrams ◽  
Optimal Power

Material order-independent interface reconstruction using power diagrams

2008 ◽  
Vol 56 (6) ◽  
pp. 643-659 ◽  
Author(s):  
Samuel P. Schofield ◽  
Rao V. Garimella ◽  
Marianne M. Francois ◽  
Raphaël Loubère
Keyword(s):  
Power Diagrams ◽  
Interface Reconstruction

Electric Power Diagrams

1918 ◽  
Vol 86 (2235supp) ◽  
pp. 284-284
Author(s):  
Wm. LeRoy Robertson
Keyword(s):  
Electric Power ◽  
Power Diagrams

Power Diagrams

2016 ◽  
Author(s):  
Alfred Galichon
Keyword(s):  
Computational Geometry ◽  
Convex Function ◽  
Minimization Problem ◽  
Scalar Product ◽  
Convex Minimization ◽  
Optimal Assignment ◽  
Convex Minimization Problem ◽  
Power Diagrams ◽  
Finite Dimensional ◽  
Important Notion

This chapter considers the case when the attributes are d-dimensional vectors, the matching surplus is the scalar product, the distribution of workers' attributes is continuous, and the distribution of the firms is discrete. It discusses the geometry of the optimal assignment of workers to firms and relates it to the important notion of power diagrams in computational geometry. It shows that the optimal assignment map is the gradient of a piecewise affine convex function, and the equilibrium prices of the firms are shown to be the solution to a finite-dimensional convex minimization problem. The chapter discusses how to perform this computation in practice.

scholarly journals A CLOSELY RESPONDING, VERSATILE WAVE TUNNEL

1980 ◽  
Vol 1 (17) ◽  
pp. 17 ◽  
Author(s):  
C.H. Hulsbergen ◽  
J.J. Bosman
Keyword(s):  
New Wave ◽  
Power Diagrams ◽  
Hydraulics Laboratory

A new wave tunnel is presented as has been recently built at the Delft Hydraulics Laboratory. Several design aspects of the wave tunnel will be discussed and special attention is drawn to the required force and power diagrams.

3D conforming power diagrams for radial LGR in CPG reservoir grids

2008 ◽  
Vol 24 (3) ◽  
pp. 253-265 ◽  
Author(s):  
C. Bennis ◽  
H. Borouchaki ◽  
N. Flandrin
Keyword(s):  
Power Diagrams
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