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...
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...
Many applications in computer graphics and geometry processing rely on the ability to
locally orient 2D and 3D entities on a surface, or inside a volume, such as the sinusoidal
kernels in Gabor noise, the color and geometry textures in pattern synthesis, and the
finite elements in remeshing. In these...
Automatic painterly rendering systems have been proposed but they opted for selecting a single style to generate paintings from images, which lacks the ability of creatively using multiple styles to focus important objects and deemphasize unimportant part of the scenes. We provide a multi-style painting framework to
address this issue...
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...
Designing tensor fields in the plane and on surfaces
is a necessary task in many graphics applications, such as
painterly rendering, pen-and-ink sketch of smooth surfaces, and
anisotropic remeshing. In this paper, we present an interactive
design system that allows a user to create a wide variety of
surface tensor...
Traditional application of Voronoi diagrams for space partitioning creates Voronoi regions, with areas determined by the generators’ relative locations and weights. Especially in the area of information space (re)construction, however, there is a need for inverse solutions; i.e., finding weights that result in regions with predefined areas. In this thesis,...
The VISualization of Terrestrial and Aquatic Systems (VISTAS) software development project began with the proposition that visualization would increase the ability of scientists to explore and communicate their data, especially complex datasets that span multiple spatial and temporal scales. A case study of VISTAS articulates how and why scientists intend...
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...
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...