Interactive tensor field design and visualization on surfaces Public Deposited

http://ir.library.oregonstate.edu/concern/technical_reports/2f75r912t

Descriptions

Attribute NameValues
Creator
Abstract or Summary
  • Designing tensor fields in the plane and on surfaces is a necessary task in many graphics applications, such as painterly rendering, pen-and-ink sketch of smooth surfaces, and anisotropic remeshing. In this paper, we present an interactive design system that allows a user to create a wide variety of surface tensor fields with control over the number and location of degenerate points. Our system combines basis tensor fields to make an initial tensor field that satisfies a set of user specifications. However, such a field often contains unwanted degenerate points that cannot always be eliminated due to topological constraints of the underlying surface. To reduce the artifacts caused by these degenerate points, our system allows the user to move a degenerate point or to cancel a pair of degenerate points that have opposite tensor indices. We observe that a tensor field can be locally converted into a vector field such that there is a one-to-one correspondence between the set of degenerate points in the tensor field and the set of singularities in the vector field. This conversion allows us to effectively perform degenerate point pair cancellation and movement by using similar operations for vector fields. In addition, we adapt the image-based flow visualization technique to tensor fields, therefore allowing interactive display of tensor fields on surfaces. We demonstrate the capabilities of our tensor field design system with painterly rendering, pen-and-ink sketch of surfaces, and anisotropic remeshing.
Resource Type
Date Available
Date Issued
Series
Keyword
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 2012-04-02T17:58:49Z (GMT) No. of bitstreams: 1 Interactive tensor field design and visualization on surfaces.pdf: 5734716 bytes, checksum: f11ad11d2c1b490d3ef5719ab6d8aef5 (MD5)
  • description.provenance : Made available in DSpace on 2012-04-02T17:58:49Z (GMT). No. of bitstreams: 1 Interactive tensor field design and visualization on surfaces.pdf: 5734716 bytes, checksum: f11ad11d2c1b490d3ef5719ab6d8aef5 (MD5) Previous issue date: 2005
  • description.provenance : Submitted by Laura Wilson (laura.wilson@oregonstate.edu) on 2012-04-02T17:44:24Z No. of bitstreams: 1 Interactive tensor field design and visualization on surfaces.pdf: 5734716 bytes, checksum: f11ad11d2c1b490d3ef5719ab6d8aef5 (MD5)

Relationships

In Administrative Set:
Last modified: 07/18/2017

Downloadable Content

Download PDF
Citations:

EndNote | Zotero | Mendeley

Items