We propose a generic procedure to raise the approximation order of multivariate approximation schemes using supplementary derivative data. The procedure applies to all schemes that reproduce polynomials to a certain degree, including most common types of (quasi-) interpolation and moving least-squares. For an approximation scheme of orderm and a dataset that provides n supplementary orders of d...

This paper presents a novel craniofacial reconstruction algorithm based on moving least squares deformation. The 3D skull mesh model is obtained with Marching Cube Algorithm, which extract the iso-surface from a complete head CT slice datum. The holes detected in the 3D skull model can be repaired with different methods after the holes are clarifed . Then, the craniofacial is reconstructed usin...

We present a novel algorithm for the geometric extraction of stream volume segmentation for visualization of grid-less flow simulation. Our goal is the segmentation of different paths through a mixing tube where the flow is represented by scattered point sets approximated with moving least squares. The key challenges are the watertight construction of boundary representations from separatrices....

We provide an image deformation method based on wavelet filter using control curves and moving least squares. The image is preprocessed firstly instead of being directly deformed by the old ways. And the original image will be filtered into a high frequency part and a low frequency part by the wavelet, and then use the moving least squares and the control curves only to deform the low frequency...

In this paper, we propose a new method of image deformation. The unequal grids, which are based on the density of edges, were used for the dividing criteria in the MLS (Moving Least Squares) approximation [1] in image deformation. Depending on the importance of the image, we place the size of the grid differently and minimize the distortion that can occur when transforming the image. In this me...

Data obtained by scanning 3D models typically contains missing pieces and holes. These can be caused due to scanning artifacts or artifacts in the surface due to wear and tear. We provide a method based on the moving least squares projection to fill holes in triangular meshes obtained during the process of surface reconstruction . Our method can be applied to holes with non-planar geometry as w...