Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können kommenden Montag und Dienstag keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted next Monday and Tuesday.)
Type of Publication: | Journal article |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-opus-84678 |
Author: | Balzer, Michael; Schlömer, Thomas; Deussen, Oliver |
Year of publication: | 2009 |
Published in: | ACM Transactions on Graphics ( Proceedings of SIGGRAPH ) ; 28 (2009), 3. - 86 |
ISBN: | 978-1-60558-726-4 |
DOI (citable link): | https://dx.doi.org/10.1145/1531326.1531392 |
Summary: |
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.
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CCS Classification: | I.4.1; I.3.3 |
Subject (DDC): | 004 Computer Science |
Controlled Keywords (GND): | Association for Computing Machinery / Special Interest Group on Graphics, Methode der kleinsten Quadrate, Stichprobennahme, Voronoi-Diagramm |
Keywords: | Lloyd's method, point distributions, blue noise |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
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
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Balzer_etal_2009_CCPDAVoLM.pdf | 1683 |