Capacity-Constrained Point Distributions : A Variant of Lloyd's Method

Balzer, Michael; Schlömer, Thomas; Deussen, Oliver

Capacity-Constrained Point Distributions : A Variant of Lloyd's Method

Files

Balzer_etal_2009_CCPDAVoLM.pdf(8.87 MB)

Date

2009

Authors

Balzer, Michael

Schlömer, Thomas

Deussen, Oliver

ISBN

978-1-60558-726-4

Publication type

Journal article

Published in

ACM Transactions on Graphics ( Proceedings of SIGGRAPH ) ; 28 (2009), 3. - 86

Abstract

We present a new general-purpose method for optimizing existing point sets. The resulting distributions possess high-quality blue noise characteristics and adapt precisely to given density functions. Our method is similar to the commonly used Lloyd's method while avoiding its drawbacks. We achieve our results by utilizing the concept of capacity, which for each point is determined by the area of its Voronoi region weighted with an underlying density function. We demand that each point has the same capacity. In combination with a dedicated optimization algorithm, this capacity constraint enforces that each point obtains equal importance in the distribution. Our method can be used as a drop-in replacement for Lloyd's method, and combines enhancement of blue noise characteristics and density function adaptation in one operation.

Subject (DDC)

004 Computer Science

Keywords

Lloyd's method,point distributions,blue noise

Cite This

ISO 690

BALZER, Michael, Thomas SCHLÖMER, Oliver DEUSSEN, 2009. Capacity-Constrained Point Distributions : A Variant of Lloyd's Method. ISBN 978-1-60558-726-4. In: ACM Transactions on Graphics ( Proceedings of SIGGRAPH ). 28(3), 86. Available under: doi: 10.1145/1531326.1531392

BibTex

@article{Balzer2009Capac-5934,
  year={2009},
  doi={10.1145/1531326.1531392},
  title={Capacity-Constrained Point Distributions : A Variant of Lloyd's Method},
  number={3},
  volume={28},
  journal={ACM Transactions on Graphics ( Proceedings of SIGGRAPH )},
  author={Balzer, Michael and Schlömer, Thomas and Deussen, Oliver},
  note={Article Number: 86}
}

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Bibliography of Konstanz

Yes