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...
N-ary relationships, which relate N entities where N is not necessarily two, are omnipresent in real life. In this thesis, we develop a visualization technique for N-ary relationships.
First, we propose a visual metaphor that utilizes vertices and polygons to represent entities and N-ary relationships. Based on this visual metaphor,...
Asymmetric tensor fields are useful for understanding fluid flow and solid deformation. They present new challenges, however, for traditional tensor field visualization techniques such as hyperstreamline placement and glyph packing. This is because the physical behavior of tensors inside real domains where eigenvalues are real is fundamentally different from the...
Tensor mathematics provides a powerful language to visualize and analyze physical phenomena. In the last three decades, tensors have been used in various application areas. The visualization and analysis of tensors fields have seen much advance, both in 2D and 3D. However, the physical interpretations of the topological analysis are...
Tensor field topology is of importance to research areas of medicine, science, and engineering. Degenerate curves are one of the crucial topological features that provide valuable insights for tensor field visualization. In this thesis, we study the atomic bifurcations of degenerate curves in 3D linear second-order symmetric tensor fields, and...
3D symmetric tensor fields have a wide range of applications, such as in solid and fluid mechanics, medical imaging, meteorology, molecular dynamics, geophysics and computer graphics. There has been much research carried out in this field, yet our knowledge of the tensor field is still at its initial stage to...
Modeling tire-snow interaction is important in designing effective snow tires, which directly affects road safety during wintry weather. Unfortunately, tires have complex tread designs and the physical properties of snow have not been characterized. We employ the Material Point Method (MPM) for simulating a material that mimics the fracturing and...
The Gulf of Alaska (GOA) is home to the most productive fisheries in the world. In 2019, 2.2 million metric tons of fish were shipped from Alaska to destinations all over the world (NOAA Fisheries, 2019). From 2014-2016 and, more recently, in 2019 the largest heatwaves in recorded history caused...
The present highway funding system, especially fuel taxes, may become less reliable revenue sources in the future, while the transportation public agencies do not have the sufficient financial resources needed to meet the increasing traffic demand. Regarding the socio-economic impact of road privatization, a wide range of approaches and models...
The gradient of a velocity vector field is an asymmetric tensor field which can provide critical insight that is difficult to infer from traditional trajectory-based vector field visualization techniques. I describe the structures in the eigenvalue and eigenvector fields of the gradient tensor and how these structures can be used...