We present an algorithm for approximating a function defined over $d$-dimensional manifold utilizing only noisy values at locations sampled from the with noise. To produce approximation we do not require any knowledge regarding other than its dimension $d$. use Manifold Moving Least-Squares approach of (Sober and Levin 2016) to reconstruct atlas charts is built on-top those charts. The resultin...

A finite strain element (FE)-based approach to element-free Galerkin (EFG) discretization is introduced, based on a number of simplifications and specialized techniques in the context Lagrangian kernel. In terms discretization, quadratic polynomial basis used, support determined from pre-assigned nodes for each quadrature point points coincide with centroids tetrahedra. Diffuse derivatives are ...

The difference based estimation in partially linear models is an approach designed to estimate parametric component by using the ordinary least squares estimator after removing the nonparametric component from the model by differencing. However, it is known that least squares estimates do not provide useful information for the majority of data when the error distribution is not normal, particul...

Moving least squares interpolation schemes are in widespread use as a tool for numerical analysis on scattered data. In particular, they are often employed when solving partial differential equations on unstructured meshes, which are typically needed when the geometry defining the domain is complex. It is known that such schemes can be singular if the data points in the stencil happen to be in ...

Displaying the large number of bands in a hyperspectral image (HSI) on a trichromatic monitor has been an active research topic. The visualized image shall convey as much information as possible from the original data and facilitate image interpretation. Most existing methods display HSIs in false colors, which contradict with human’s experience and expectation. In this paper, we propose a nonl...

Particle-based liquid is often rendered only with single refraction in real-time applications, which deteriorates the reality of liquid. We present a screen-space method for rendering particle-based liquids with up to four refractions in real time. Our method separates liquid particles into splashes and aggregations (i.e., liquid bodies), and generates a pair of depth maps of frontand back-faci...

The problem of reconstructing a watertight surface from a finite set of oriented points has received much attention over the last decades. In this paper, we propose a general higher order framework for surface reconstruction. It is based on the idea that position and normal defined by each oriented point can be used to construct an implicit local description of the unknown surface. On the one h...