Category: Publications

Critical Point Cancellation In 3D Vector Fields: Robustness And Discussion

This work introduces the first framework to directly cancel pairs or groups of 3D critical points in a hierarchical manner with guaranteed minimum amount of perturbation based on their robustness, a quantitative measure of their stability. In addition, our framework does not require the extraction of the entire 3D topology, which contains nontrivial separation structure, and thus is computationally effective. Furthermore, our algorithm can remove critical points in any subregions of the domain whose degree is zero and handle complex boundary configurations, making it capable of addressing challenging scenarios that may not be resolved otherwise. Continue reading

Correlation Coordinate Plots: Efficient Layouts For Correlation Tasks

We propose a new correlation task-specific visual design called Correlation Coordinate Plots (CCPs). CCPs transform data into a powerful coordinate system for estimating the direction and strength of correlation. To extend the functionality of this approach to multiple attribute datasets, we propose the Snowflake Visualization, a focus+context layout for exploring all pairwise correlations. Continue reading

Improved Identification Of Data Correlations Through Correlation Coordinate Plots

We propose a new correlation task-specific visualization method called Correlation Coordinate Plots (CCPs). CCPs transform data into a powerful coordinate system for estimating the direction and strength of correlation. To support multiple attributes, we propose the Snowflake Visualization, a focus+context layout for exploring all pairwise correlations. Continue reading

2D Vector Field Simplification Based On Robustness

In this paper, we propose a novel simplification scheme derived from the recently introduced topological notion of robustness, which provides a complementary view on flow structure compared to the traditional topological-skeleton-based approaches. Robustness enables the pruning of sets of critical points according to a quantitative measure of their stability, that is, the minimum amount of vector field perturbation required to remove them. This leads to a hierarchical simplification scheme that encodes flow magnitude in its perturbation metric. Continue reading

A Flexible Pinhole Camera Model For Coherent Nonuniform Sampling

The flexible pinhole camera allows flexible modulation of the sampling rate over the field of viewand provides inexpensive 3D projection that allows rendering complex datasets quickly. The resulting image, a coherent nonuniform sampling of the dataset that matches the local variation of the dataset's importance, has been successfully implemented for remote visualization, focus-plus-context visualization, and acceleration of expensive rendering effects such as specular reflection. Continue reading