Flexible Fiber Surfaces: A Reeb-Free Approach

Daisuke Sakurai, Kenji Ono, Hamish Carr, Jorji Nonaka, Tomohiro Kawanabe

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

The fiber surface generalizes the popular isosurface to multi-fields, so that pre-images can be visualized as surfaces. As with the isosurface, however, the fiber surface suffers from visual occlusion. We propose to avoid such occlusion by restricting the components to only the relevant ones with a new component-wise flexing algorithm. The approach, flexible fiber surface, generalizes the manipulation idea found in the flexible isosurface for the fiber surface. The flexible isosurface in the original form, however, relies on the contour tree. For the fiber surface, this corresponds to the Reeb space, which is challenging for both the computation and user interaction. We thus take a Reeb-free approach, in which one does not compute the Reeb space. Under this constraint, we generalize a few selected interactions in the flexible isosurface and discuss the implication of the restriction.

Original languageEnglish
Title of host publicationMathematics and Visualization
PublisherSpringer Science and Business Media Deutschland GmbH
Pages187-201
Number of pages15
DOIs
Publication statusPublished - 2020

Publication series

NameMathematics and Visualization
ISSN (Print)1612-3786
ISSN (Electronic)2197-666X

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Geometry and Topology
  • Computer Graphics and Computer-Aided Design
  • Applied Mathematics

Fingerprint Dive into the research topics of 'Flexible Fiber Surfaces: A Reeb-Free Approach'. Together they form a unique fingerprint.

Cite this