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...
Artists use different means of stylization to control the
focus on different objects in the scene. This allows them to portray complex meaning and achieve certain artistic effects. Most
prior work on painterly rendering of videos, however, uses only
a single painting style, with fixed global parameters, irrespective of objects...
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...
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...
In this paper we introduce hexagonal global parameterizations, a new type of parameterization in which parameter lines respect six-fold rotational symmetries (6-RoSy). Such parameterizations enable the tiling of surfaces with regular hexagonal texture and geometry patterns and can be used to generate high-quality triangular remeshing. To construct a hexagonal parameterization...
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...
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...
Visualizing asymmetric tensors is an important task in understanding fluid dynamics. In this paper, we describe topological analysis and visualization techniques for asymmetric tensor fields on surfaces based on analyzing the impact of the symmetric and antisymmetric components of the tensor field on its eigenvalues and eigenvectors. At the core...
Fluid simulation on interacting deformable surfaces is a challenging problem that has many applications. In this paper, we present a framework in which artistic as well as physically realistic flows can be generated on surfaces during deformation and collision. Our simulation system provides comprehensive control over the motion and deformation...
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...