Please note that eDoc will be permanently shut down in the first quarter of 2021!      Home News About Us Contact Contributors Disclaimer Privacy Policy Help FAQ

Home
Search
Quick Search
Advanced
Fulltext
Browse
Collections
Persons
My eDoc
Session History
Login
Name:
Password:
Documentation
Help
Support Wiki
Direct access to
document ID:


          Institute: MPI für Informatik     Collection: Computer Graphics Group     Display Documents



ID: 537280.0, MPI für Informatik / Computer Graphics Group
Crease Surfaces: From Theory to Extraction and Application to Diffusion Tensor MRI
Authors:Schultz, Thomas; Theisel, Holger; Seidel, Hans-Peter
Language:English
Date of Publication (YYYY-MM-DD):2010
Title of Journal:IEEE Transactions on Visualization and Computer Graphics
Volume:16
Issue / Number:1
Start Page:109
End Page:119
Review Status:Peer-review
Audience:Experts Only
Intended Educational Use:No
Abstract / Description:Crease surfaces are two-dimensional manifolds along which a scalar field
assumes a local maximum (ridge) or a local minimum (valley) in a constrained
space. Unlike isosurfaces, they are able to capture extremal structures in the
data. Creases have a long tradition in image processing and computer vision,
and have recently become a popular tool for visualization. When extracting
crease surfaces, degeneracies of the Hessian (i.e., lines along which two
eigenvalues are equal) have so far been ignored. We show that these loci,
however, have two important consequences for the topology of crease surfaces:
First, creases are bounded not only by a side constraint on eigenvalue sign,
but also by Hessian degeneracies. Second, crease surfaces are not, in general,
orientable. We describe an efficient algorithm for the extraction of crease
surfaces which takes these insights into account and demonstrate that it
produces more accurate results than previous approaches. Finally, we show that
diffusion tensor magnetic resonance imaging (DT-MRI) stream surfaces, which
were previously used for the analysis of planar regions in diffusion tensor MRI
data, are mathematically ill-defined. As an example application of our method,
creases in a measure of planarity are presented as a viable substitute.
Last Change of the Resource (YYYY-MM-DD):2011-01-25
External Publication Status:published
Document Type:Article
Communicated by:Hans-Peter Seidel
Affiliations:MPI für Informatik/Computer Graphics Group
Identifiers:LOCALID:C125675300671F7B-0833350A4F48618DC12576A5005611C1-...
URL:http://www.computer.org/portal/web/csdl/doi/10.110...
DOI:10.1109/TVCG.2009.44
ISSN:1077-2626
The scope and number of records on eDoc is subject to the collection policies defined by each institute - see "info" button in the collection browse view.