“Interactive Design and Visualization of Tensor Fields on Surfaces”

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.

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