In this paper we present a method to optimize the smoothness order of subdivision algorithms generating surfaces of arbitrary topology. In particular we construct a subdivision algorithm with some negative weights producing G 2 {surfaces. These surfaces are piecewise bicubic and are at at their extraordinary points. The underlying ideas can also be used to improve the smoothness order of subdiv...

Multimedia Super-Resolution (SR) reconstruction is an essential and mandatory process for different visualization functions. Recently, several schemes have been suggested single- multi-image SR reconstruction. This work presents effective scheme visual quality resolution enhancement of 3D Video (3DV) sequences. The idea behind the proposed 3DV utilization a recursive Bayesian algorithm improvin...

The paper develops a rational bi-cubic G2 (curvature continuous) analogue of the non-uniform polynomial C2 cubic B-spline paradigm. These rational splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, in one by default smoothly-connected structure. The versatility of this new tool for processing exact geometry is illustrated by conceptual design from basic...

Solving the first nonmonotonic, longer-than-three instance of a classic enumeration problem, we obtain the generating function H(x) of all 1342-avoiding permutations of length n as well as an exact formula for their number Sn(1342). While achieving this, we bijectively prove that the number of indecomposable 1342avoiding permutations of length n equals that of labeled plane trees of a certain t...

This work has been contributed on the visualization of curves and surfaces for constrained data. A rational cubic function, with free shape parameters in its description, has been introduced and used. This function has been constrained to visualize the preservation of shape of the data by imposing constraints on free parameters. The rational cubic curve case has also been extended to a rational...

Compact surface descriptions like higher-order surfaces are popular representations for both modeling and animation. However, for fast graphics-hardware-assisted rendering, they usually need to be converted to triangle meshes. In this paper, we introduce a new framework for performing on-the-fly crack-free adaptive tessellation of surface primitives completely on the GPU. Utilizing CUDA and its...

Abstract We studied a multi-orbital Hubbard model at half-filling for two and three orbitals per site on two-site cluster via full exact diagonalization, in wide range the onsite repulsion U , from weak to strong coupling, multiple ratios of Hund coupling J H . The hopping matrix elements among were also varied extensively. At intermediate large we mapped results into Heisenberg model. For site...

This paper considers the problem of three dimensional surface reconstruction of non polyhedral objects through series of images taken from a moving camera. We propose a direct method of surface reconstruction which is based on regularized uniform bicubic B-spline surface patches 35]. This reconstruction is achieved by observing the motion of occluding contours 1, 9, 33], i.e., where the view li...