2008 IGERT Project Meeting

Abstract

Abstract Title:
Rotational Symmetry Fields on Surfaces

Graduate Student Presenter: Jonathan Palacios
Name of the Author(s) and Affiliation(s): Jonathan Palacios, Oregon State University; Eugene Zhang, Oregon State University

Rotational symmetry fields play an important part in a wide variety of computer graphics applications, such as surface parameterization, surface remeshing, non-photorealistic rendering, and texture synthesis. A rotational symmetry is a phenomenon that is invariant under certain rotations; rotational symmetry fields are directional fields that exhibit this property (examples include vector fields and symmetric tensor fields). Here we are primarily interested in the design, analysis, and applications of such fields embedded in the surfaces of 3-D triangular meshes. In the above applications, the topology (i.e. singularities and separatrices) of a rotational symmetry field can have a direct impact on the quality of the results. We present a design system that provides control over the topology of rotational symmetry fields on surfaces, and also apply our method to the aforementioned computer graphics problems.

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