Moving Least Squares Coordinates

8 years 6 months ago
Moving Least Squares Coordinates
We propose a new family of barycentric coordinates that have closed-forms for arbitrary 2D polygons. These coordinates are easy to compute and have linear precision even for open polygons. Not only do these coordinates have linear precision, but we can create coordinates that reproduce polynomials of a set degree m as long as degree m polynomials are specified along the boundary of the polygon. We also show how to extend these coordinates to interpolate derivatives specified on the boundary. Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Computational Geometry and Object Modeling--Boundary representations
Josiah Manson, Scott Schaefer
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2010
Where CGF
Authors Josiah Manson, Scott Schaefer
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