Record Details

Tensor Field Design and Analysis for Applications in Computer Graphics and Scientific Visualization

ScholarsArchive at Oregon State University

Field Value
Title Tensor Field Design and Analysis for Applications in Computer Graphics and Scientific Visualization
Names Palacios, Jonathan (creator)
Zhang, Eugene (advisor)
Date Issued 2013-08-15 (iso8601)
Note Graduation date: 2015
Abstract 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 applications, it is often desirable to have the
orientations of objects near each other in the domain be similar; that is, it is optimal
that the orientations vary smoothly. In this thesis, we present systems for the design,
analysis and visualization of orientation fields on surfaces and in volumes. The fields in
our systems are represented by tensor fields. At the core of our system is the ability to
specify and control the number, location, shape, and connectivity of the field topology or
degenerate features. To enable such capability we have made a number of observations
about tensor field topology that were previously unreported. We demonstrate the power
of our design with applications in texture synthesis, remeshing, and non-photorealistic
rendering. In addition, we propose ways to use tensor fields for the purpose of analyzing
existing vector field data, applying our system to the scientific visualization of flow and
earthquake data.
Genre Thesis/Dissertation
Topic Geometry
Identifier http://hdl.handle.net/1957/56119

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