Oregon State University

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MS Final Examination – Ritesh Sharma


Wednesday, March 8, 2017 9:00 AM - 11:00 AM

Interactive Design and Transition Point Analysis of 3D Linear Symmetric Tensor Fields
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 completely understand the behavior of 3D linear tensor fields. To understand the behavior and to design such applications, topology plays an important role. The degenerate points are the most studied topological feature of symmetric tensor fields. Though several attempts have been made to understand such features, still none of them seems to be complete. In this work, we provide an interactive interface to study such features. We also study the maximum number of transition points in a linear tensor field and classification of wedge and trisector along the degenerate curves. Finally, we provide an insight over the number of transition points along the degenerate curves.

Major Advisor: Eugene Zhang
Committee: Amir Nayyeri
Committee: Yue Zhang
GCR: Matt Campbell


Kelley Engineering Center (campus map)
1114
Nicole Thompson
1 541 737 3617
Nicole.Thompson at oregonstate.edu
Sch Elect Engr/Comp Sci
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