Graduate Thesis Or Dissertation

 

Interactive Design and Transition Point Analysis of 3D Linear Symmetric Tensor Fields Public Deposited

Downloadable Content

Download PDF
https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/6h440w067

Descriptions

Attribute NameValues
Creator
Abstract
  • 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 upper and lower bound on the number of transition points in a linear tensor field.
License
Resource Type
Date Issued
Degree Level
Degree Name
Degree Field
Degree Grantor
Commencement Year
Advisor
Committee Member
Academic Affiliation
Non-Academic Affiliation
Subject
Rights Statement
Publisher
Peer Reviewed
Language
Replaces
Additional Information
  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2017-04-10T21:17:57Z (GMT) No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) SharmaRitesh2017.pdf: 9935267 bytes, checksum: 3a3a6177bd0fb7405ac1cf84db58253f (MD5)
  • description.provenance : Submitted by Ritesh Sharma (sharmrit@oregonstate.edu) on 2017-04-08T06:30:23Z No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) SharmaRitesh2017.pdf: 9935267 bytes, checksum: 3a3a6177bd0fb7405ac1cf84db58253f (MD5)
  • description.provenance : Made available in DSpace on 2017-04-10T21:17:58Z (GMT). No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) SharmaRitesh2017.pdf: 9935267 bytes, checksum: 3a3a6177bd0fb7405ac1cf84db58253f (MD5) Previous issue date: 2017-03-08
  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2017-04-09T00:24:32Z (GMT) No. of bitstreams: 2 license_rdf: 1370 bytes, checksum: cd1af5ab51bcc7a5280cf305303530e9 (MD5) SharmaRitesh2017.pdf: 9935267 bytes, checksum: 3a3a6177bd0fb7405ac1cf84db58253f (MD5)
Embargo date range
  • 2017-08-04 to 2018-04-10

Relationships

Parents:

This work has no parents.

In Collection:

Items