Moving Least Squares Coordinates Academic Article uri icon

abstract

  • 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. © 2010 The Author(s). Journal compilation © 2010 The Eurographics Association and Blackwell Publishing Ltd.

author list (cited authors)

  • Manson, J., & Schaefer, S.

citation count

  • 36

publication date

  • September 2010