Tracing parallel vectors

Jeffrey Sukharev; Xiaoqiang Zheng; Alex Pang

doi:10.1117/12.655431

16 January 2006 Tracing parallel vectors

Jeffrey Sukharev, Xiaoqiang Zheng, Alex Pang

Proceedings Volume 6060, Visualization and Data Analysis 2006; 606011 (2006) https://doi.org/10.1117/12.655431
Event: Electronic Imaging 2006, 2006, San Jose, California, United States

Abstract

Feature tracking algorithms usually rely on operators for identifying regions of interest. One of these commonly used operators is to identify parallel vectors introduced by Peikert and Roth.⁴ In this paper, we propose a new and improved method for finding parallel vectors in 3D vector fields. Our method uses a two-stage approach where in the first stage we extract solution points from 2D faces using Newton-Raphson method, and in the second stage, we use analytical tangents to trace solution lines. The distinct advantage of our method over the previous method lies in the fact that our algorithm does not require a very fine grid to find all the important topological features. As a consequence, the extraction phase does not have to be at the same resolution as the original dataset. More importantly, the feature lines extracted are topologically consistent. We demonstrate the tracing algorithm with results from several datasets.

Citation Download Citation

Jeffrey Sukharev, Xiaoqiang Zheng, and Alex Pang "Tracing parallel vectors", Proc. SPIE 6060, Visualization and Data Analysis 2006, 606011 (16 January 2006); https://doi.org/10.1117/12.655431

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