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Moving Least Squares Coordinates
Computer Graphics Forum, 2010AbstractWe propose a new family of barycentric coordinates that have closedâforms 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 ...
Josiah Manson, Scott Schaefer
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Least squares moving finite elements
IMA Journal of Numerical Analysis, 2001The paper describes an extension of the moving finite element (MFE) method for steady-state pure convection problems, namely the least squares MFE method (LSMFE). By the direct treatment of the steady-state problem together with the minimization of a suitable residual functional, the LSMFE method ensures that the nodal points are not transported ...
Miller, Keith, Baines, Mike J.
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Boundary modeling with moving least squares
Computers & Geosciences, 2019Abstract Modeling geological boundaries is an important step in geological modeling workflows that aim to quantify the location, volume, and uncertainty of a resource. Several well established explicit and implicit techniques can be used to identify the limits of an ore zone; however, most techniques are unable to account for uncertainty in a ...
John G. Manchuk, Clayton V. Deutsch
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Piece-wise moving least squares approximation
Applied Numerical Mathematics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wen Li, Guohui Song, Guangming Yao
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Moving least-squares finite element method
Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2007A new computational method here called moving least-squares finite element method (MLSFEM) is presented, in which the shape functions of the parametric elements are constructed using moving least-squares approximation. While preserving some excellent characteristics of the meshless methods such as elimination of the volumetric locking in near ...
M Musivand-Arzanfudi +1 more
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Image deformation using moving least squares
ACM SIGGRAPH 2006 Papers on - SIGGRAPH '06, 2006We provide an image deformation method based on Moving Least Squares using various classes of linear functions including affine, similarity and rigid transformations. These deformations are realistic and give the user the impression of manipulating real-world objects.
Scott Schaefer +2 more
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Provably good moving least squares
ACM Transactions on Algorithms, 2005We analyze a moving least squares (MLS) interpolation scheme for reconstructing a surface from point cloud data. The input is a sufficiently dense set of sample points that lie near a closed surface F with approximate surface normals.
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Superresolution and noise filtering using moving least squares
IEEE Transactions on Image Processing, 2006An irregularly spaced sampling raster formed from a sequence of low-resolution frames is the input to an image sequence superresolution algorithm whose output is the set of image intensity values at the desired high-resolution image grid. The method of moving least squares (MLS) in polynomial space has proved to be useful in filtering the noise and ...
N K, Bose, Nilesh A, Ahuja
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Iterated Approximate Moving Least Squares Approximation
2007The radial basis function interpolant is known to be the best approximation to a set of scattered data when the error is measured in the native space norm. The approximate moving least squares method, on the other hand, was recently proposed as an efficient approximation method that avoids the solution of the system of linear equations associated with ...
Gregory E. Fasshauer, Jack G. Zhang
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Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao Wang +6 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qiao Wang +6 more
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