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Sharp Ridge Structures in Flow Visualization

流动可视化中的尖锐脊结构

基本信息

批准号：
224905231
负责人：
Professor Dr.-Ing. Holger Theisel
金额：
--
依托单位：
Institut für Simulation und Graphik
依托单位国家：
德国
项目类别：
Research Grants
财政年份：
2013
资助国家：
德国
起止时间：
2012-12-31 至 2018-12-31
项目状态：
已结题

来源：
https://gepris.dfg.de/gepris/projekt/224905231?language=en
关键词：
Sharp Ridge Structures Flow Visualization

项目摘要

Ridges are well-studied structures with a variety of applications in image and shape analysis as well as in scientific visualization. There are many different definitions for ridges, each of them having its advantages and disadvantages. In fact, there is an active research on numerical extraction algorithms for each of the ridge concepts. In flow visualization, a number of modern analysis techniques are integration-based, i.e., new fields are created by advecting and integrating information over certain finite integration times. There are fundamental differences to ridges that usually occur in visualization or image processing: they tend to be extremely sharp, making conventional ridge extractors not applicable for larger integration times. The project attempts to give a formal analysis of the sharpness of integration-based ridges, showing that standard ridge extractors have a limited applicability even under consideration of adaptive mesh refinement. To overcome this, a new approach for the extraction of sharp ridges is proposed, which is based on a tracking of previously non-sharp ridges. For sharp ridges, simplified extraction algorithms as well as new volume rendering approaches will be introduced. Sharp ridge extractors are applied to extract ridges in FTLE, FSLE, streak line and time line fields as well as for extracting shock waves.

脊是一种被广泛研究的结构，在图像和形状分析以及科学可视化中有着广泛的应用。山脊有许多不同的定义，每种定义都有其优点和缺点。事实上，对于每一个脊概念的数值提取算法都有一个活跃的研究。在流动可视化中，许多现代分析技术都是基于集成的，即通过在一定的有限积分时间内对信息进行平流和集成来创建新的场。通常在可视化或图像处理中出现的脊有根本的区别：它们往往非常尖锐，使得传统的脊提取器不适用于较大的集成时间。该项目试图对基于集成的脊的清晰度进行形式化分析，表明即使考虑到自适应网格细化，标准脊提取器的适用性也有限。为了克服这一问题，提出了一种新的锐脊提取方法，该方法基于对先前非锐脊的跟踪。对于尖锐的脊，将介绍简化的提取算法以及新的体绘制方法。锐脊提取器主要用于提取FTLE、FSLE、条纹线和时间线场的脊线，以及提取激波。