the low earth orbiting (leo) satellites are widely used for geosciences applications. for most applications, precise orbital information of the satellites is required. a combination of the in suite observations and dynamic orbit yields the optimum solution. in order to obtain the combined optimal solution, one needs to analytically or numerically propagate the state vector epoch by an epoch bas...

We propose algorithms to incrementally modify a mesh of a planar domain by interactively inserting and removing elements (points, segments, polygonal lines, etc.) into or from the planar domain, keeping the quality of the mesh during the process. Our algorithms, that combine mesh improvement techniques, achieve quality by deleting, moving or inserting Steiner points from or into the mesh. The c...

A self-adaptive mesh method is proposed for the numerical simulations of the Camassa-Holm equation based on its integrable semi-discretization. It is an integrable scheme, possessing the N-soliton solution (see J. Phys. A, 41 355205). Moreover, it is called a self-adaptive mesh method, because the non-uniform mesh is driven and adapted automatically by the solution. Once the non-uniform mesh is...

A robust and fully automatic algorithm for semantic registration of laser scans of human faces is introduced. The scans are converted into a new semantically annotated topology such that topologically equivalent vertices have the same meaning. The algorithm works in three steps. First, landmark points are placed using a multi-stage variant of the iterative closest points scheme and an annotated...

In this paper we introduce a novel self-organizing method of moving surface reconstruction from the data obtained from measuring real-world objects. The core of the approach is using Kohonen’s Self Organizing Maps model. As that model is not traditionally applied to mesh deformation or surface reconstruction, in the paper we propose its modification enforcing input data approximation and time-s...

In this paper an efficient Algorithm based on Zadeh's extension principle has been investigated to approximate fuzzy solution of two-point fuzzy boundary value problems, with fuzzy boundary values. We use finite difference method in term of the upper bound and lower bound of $r$- level of fuzzy boundary values. The proposed approach gives a linear system with crisp tridiagonal coefficients matr...

The numerical solution of the harmonic heat map flow problems with blowup in finite or infinite time is considered using an adaptive moving mesh method. A properly chosen monitor function is derived so that the moving mesh method can be used to simulate blowup and produce accurate blowup profiles which agree with formal asymptotic analysis. Moreover, the moving mesh method has finite time blowu...

Spherical t-designs on the unit sphere S ⊂ R, introduced by Delsarte, Goethals, and Seidel (1977), are equal weight numerical integration rules that are exact for all polynomials of degree at most t on S. This talk considers the calculation and properties of of spherical t-designs, in particular for S where most applications reside. Bondarenko, Radchenko, and Viazovska (2013) proved that there ...