2603

MLS-based scalar fields over triangle meshes and their application in mesh processing

Jingyi Jin, Michael Garland, Edgar A. Ramos
University of Illinois at Urbana-Champaign
Proceedings of the 2009 symposium on Interactive 3D graphics and games, I3D ’09

@conference{jin2009mls,

   title={MLS-based scalar fields over triangle meshes and their application in mesh processing},

   author={Jin, J. and Garland, M. and Ramos, E.A.},

   booktitle={Proceedings of the 2009 symposium on Interactive 3D graphics and games},

   pages={145–153},

   year={2009},

   organization={ACM}

}

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A novel technique that uses the Moving Least Squares (MLS) method to interpolate sparse constraints over mesh surfaces is introduced in this paper. Given a set of constraints, the proposed technique constructs, directly on the surface, a smooth scalar field that interpolates or approximates the constraints. Three types of constraints: point-value, point-gradient and iso-contour, are introduced to provide flexible control of the scalar field design. Furthermore, the framework also provides the user control over the region of influence and rate of influence decrease of the constraints, through parameter adjustment. We demonstrate that the scalar fields resulted from this framework can be used in several mesh applications such as skin deformation, region selection and curve drawing.
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