@techreport{Zhang:2004:VFD,
optpostscript = {},
www = {http://web.engr.oregonstate.edu/~zhange/vecfld_design.html},
number = {GIT-GVU-04-16},
optaddress = {},
author = {Eugene Zhang and Konstantin Mischaikow and Greg Turk},
optkey = {},
optannote = {},
opttype = {},
url = {http://www.cc.gatech.edu/gvu/reports/2004/abstracts/04-16.html},
localfile = {papers/Zhang.2004.VFD.pdf},
optkeywords = {},
optmonth = {},
optciteseer = {},
optdoi = {},
abstract = {Vector field design on surfaces is necessary for many graphics
applications: example-based texture synthesis, non-photorealistic
rendering, and fluid simulation. A vector field design system
should allow a user to create a large variety of complex vector
fields with relatively little effort. In this paper, we present a
vector field design system for surfaces that allows the user to
control the number of singularities in the vector field and their
placement. Our system combines basis vector fields to make an
initial vector field that meets the user's specifications. The
initial vector field often contains unwanted singularities. Such
singularities cannot always be eliminated, due to the
Poincare-Hopf index theorem. To reduce the effect caused by these
singularities, our system allows a user to move a singularity to a
more favorable location or to cancel a pair of singularities.
These operations provide topological guarantees for the vector
field in that they only affect the user-specified singularities.
Other editing operations are also provided so that the user may
change the topological and geometric characteristics of the vector
field. We demonstrate our vector field design system for several
applications: example-based texture synthesis, painterly rendering
of images, and pencil sketch illustrations of smooth surfaces.},
title = {{V}ector {F}ield {D}esign on {S}urfaces},
year = {2004},
institution = {Georgia Institute of Technology, GVU Center},
}
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