Asymmetric tensor fields present new challenges for visualization techniques such as hyperstreamline placement and glyph packing. This is because the physical behaviors of the tensors are fundamentally different inside real domains where eigenvalues are real and complex domains where eigenvalues are complex. We present a hybrid visualization approach in which...
Design of time-varying vector fields, i.e., vector fields that can change over time, has a wide variety of important applications
in computer graphics. Existing vector field design techniques do not address time-varying vector fields. In this paper, we present a
framework for the design of time-varying vector fields, both for...
Vector field analysis plays a crucial role in many engineering applications, such as weather prediction, tsunami and hurricane study, and airplane and automotive design. Existing vector field analysis techniques focus on individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by...
Existing topology-based vector field analysis techniques rely on the ability to extract the individual trajectories such as fixed points, periodic orbits and separatrices which are sensitive to noise and errors introduced by simulation and interpolation. This can make such vector field analysis unsuitable for rigorous interpretations. We advocate the use...
Reliable analysis of vector elds is crucial for the rigorous interpretation of the ow data stemming from a wide range of
engineering applications. Morse decomposition of a vector field has proven a useful topological representation that is more numerically stable than previous vector field skeletons. In this paper, we enhance...
With increasing computing power, it is possible to process more complex fluid simulations. However, a gap between increasing
data size and our ability to visualize them still remains. Despite the great amount of progress that has been made in the field of
flow visualization over the last two decades, a...
Vector field design has a wide variety of applications in computer
graphics, including texture synthesis, non-photorealistic rendering, fluid and crowd simulation, and shape deformation. This paper addresses the problem of the design of time-varying vector fields on surfaces. The additional time dimension poses a number of unique challenges to the...
Analysis, visualization, and design of vector fields on surfaces have a wide variety of major applications in both scientific visualization and computer graphics. On the one hand, analysis and visualization of vector fields provide critical insights to the flow data produced from simulation or experiments of various engineering processes. On...
Design and control of vector fields is critical for many visualization and graphics tasks such as vector field visualization, fluid simulation, and texture synthesis. The fundamental qualitative structures associated with vector fields are fixed points, periodic orbits, and separatrices. In this paper we provide a new technique that allows for...