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Reports (Research Report) Year : 2006

Farthest Point Seeding for Placement of Streamlines

Abstract

We propose a novel algorithm for placement of streamlines from two-dimensional steady vector or direction fields. Our method consists of placing one streamline at a time by numerical integration started the furthest away from all previously placed streamlines. Such a farthest point seeding strategy leads to high quality placements by favoring long streamlines, while retaining uniformity with the increasing density. We show in a series of comparative results several improvements over state-of-the-art methods for three important aspects: placement quality, simplicity or efficiency. Robustness as well as efficiency is achieved through the use of a Delaunay triangulation to model the streamlines, address proximity queries and determine the biggest voids by exploiting the empty circle property. Our method handles variable density and extends to multiresolution.
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Dates and versions

inria-00070483 , version 1 (19-05-2006)

Identifiers

  • HAL Id : inria-00070483 , version 1

Cite

Abdelkrim Mebarki, Pierre Alliez, Olivier Devillers. Farthest Point Seeding for Placement of Streamlines. [Research Report] RR-5524, INRIA. 2006, pp.28. ⟨inria-00070483⟩
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