“Interactive Design and Visualization of Tensor Fields on Surfaces” by Zhang, Hays and Turk

  • ©Eugene Zhang, James Hays, and Greg Turk

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Title:

    Interactive Design and Visualization of Tensor Fields on Surfaces

Session/Category Title:   Artistic Depiction


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Abstract:


    Many graphics applications make use a line field in which the for- ward and backward directions are not distinguished, such as brush stroke orientations in painterly rendering and hatch directions in pen-and-ink sketch. A line field can be described by the major eigenvector of a second-order symmetric tensor field. Tensor field design enables a user to achieve various visual effects for these ap- plications by creating different tensor fields, and it also provides the user with control over the number and location of degenerate points in the tensor field that often cause visual artifacts.

References:


    Alliez, P., Cohen-Steiner, D., Devillers, O., Lévy, B., And Desbrun, M. 2003. Anisotropic polygonal remeshing. ACM Transactions on Graphics (SIGGRAPH 2003) 22, 3 (July), 485–493.
    Hays, J. H., And Essa, I. 2004. Image and video based painterly animation. NPAR 2004: Third International Symposium on Non-Photorealistic Animation and Rendering (June), 113–120.
    Hertzmann, A., And Zorin, D. 2000. Illustrating smooth surfaces. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 2000) (Aug.), 517–526.
    Hertzmann, A. 1998. Painterly rendering with curved brush strokes of multiple sizes. Computer Graphics Proceedings, Annual Conference Series (SIGGRAPH 1998), 453–460.
    Van Wijk, J. J. 2002. Image based flow visualization. ACM Transactions on Graphics (SIGGRAPH 2002) 21, 3 (July), 745–754.
    Zhang, E., Mischaikow, K., And Turk, G. 2004. Vector field design on surfaces. Tech. Rep. 04–16, GVU Center, Georgia Institute of Technology.


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