Region-based line field design using harmonic functions

Chih Yuan Yao, Ming Te Chi, Tong-Yee Lee, Tao Ju

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Field design has wide applications in graphics and visualization. One of the main challenges in field design has been how to provide users with both intuitive control over the directions in the field on one hand and robust management of its topology on the other hand. In this paper, we present a design paradigm for line fields that addresses this challenge. Rather than asking users to input all singularities as in most methods that offer topology control, we let the user provide a partitioning of the domain and specify simple flow patterns within the partitions. Represented by a selected set of harmonic functions, the elementary fields within the partitions are then combined to form continuous fields with rich appearances and well-determined topology. Our method allows a user to conveniently design the flow patterns while having precise and robust control over the topological structure. Based on the method, we developed an interactive tool for designing line fields from images, and demonstrated the utility of the fields in image stylization.

Original languageEnglish
Article number5928338
Pages (from-to)902-913
Number of pages12
JournalIEEE Transactions on Visualization and Computer Graphics
Volume18
Issue number6
DOIs
Publication statusPublished - 2012 Mar 20

Fingerprint

Harmonic functions
Topology
Flow patterns
Robust control
Visualization

All Science Journal Classification (ASJC) codes

  • Software
  • Signal Processing
  • Computer Vision and Pattern Recognition
  • Computer Graphics and Computer-Aided Design

Cite this

Yao, Chih Yuan ; Chi, Ming Te ; Lee, Tong-Yee ; Ju, Tao. / Region-based line field design using harmonic functions. In: IEEE Transactions on Visualization and Computer Graphics. 2012 ; Vol. 18, No. 6. pp. 902-913.
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Region-based line field design using harmonic functions. / Yao, Chih Yuan; Chi, Ming Te; Lee, Tong-Yee; Ju, Tao.

In: IEEE Transactions on Visualization and Computer Graphics, Vol. 18, No. 6, 5928338, 20.03.2012, p. 902-913.

Research output: Contribution to journalArticle

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