Fakultät Informatik

Progressive High-Quality Response Surfaces for Visually Guided Sensitivity Analysis

 Ismail Demir, Rüdiger Westermann

Computer Graphics and Visualization Group, Technische Universität München, Germany


In this paper we present a technique which allows us to perform high quality and progressive response surface prediction from multidimensional input samples in an efficient manner. We utilize kriging interpolation to estimate a response surface which minimizes the expectation value and variance of the prediction error. High computational efficiency is achieved by employing parallel matrix and vector operations on the GPU. Our approach differs from previous kriging approaches in that it uses a novel progressive updating scheme for new samples based on blockwise matrix inversion. In this way we can handle very large sample sets to which new samples are continually added. Furthermore, we can monitor the incremental evolution of the surface, providing a means to early terminate the computation when no significant changes have occurred. When the generation of input samples is fast enough, our technique enables steering this generation process interactively to find relevant dependency relations.


This work was supported by the European Union under the ERC Advanced Grant 291372 - SaferVis - Uncertainty Visualization for Reliable Data Discovery.

Associated publications

Progressive High-Quality Response Surfaces for Visually Guided Sensitivity Analysis
I. Demir, R. Westermann Computer Graphics Forum (Proceedings of EuroVis 2013) [Download] [Bibtex]



- In collaboration with partners from industry, we have a number of thesis topics available in the area of point-based rendering, geo-localization using public data, scene fusion from different viewpoints. If you are interested, please contact  westermann(at)tum.de


- One PhD position on   Turbulence Visualization is available at the Computer Graphics & Visualization group.