In this paper, we propose a 3D geometry compression technique for densely sampled surface meshes. Based on a 3D multiresolution analysis (performed by a 3D Discrete Wavelet Transform for semi-regular meshes), this scheme includes a model-based bit allocation process across the wavelet subbands and an efficient surface adapted weighted criterion for 3D wavelet coefficient coordinates. This permi...

Given a set A $\mathbb {A}$ consisting of positive integers 1 < 2 ⋯ k $a_1<a_2<\cdots <a_k$ and k-term partition P : n + = $P: n_1+n_2 \cdots n_k=n$ , find the extremal denominators regular semi-regular continued fraction [ 0 ; x … ] $[0;x_1,x_2,\ldots ,x_n]$ with partial quotients i ∈ $x_i\in \mathbb where each $a_i$ occurs precisely $n_i$ times in sequence $x_1,x_2,\ldots ,x_n$ . In 1983, G. ...

We obtain a formula for the modulus of metric regularity of a mapping defined by a semi-infinite system of equalities and inequalities. Based on this formula, we prove a theorem of Eckart-Young type for such set-valued infinite-dimensional mappings: given a metrically regular mapping F of this kind, the infimum of the norm of a linear function g such that F + g is not metrically regular is equa...

We report the angular diameters of two Mira variables (U Ari and Z Sco), three semi-regular and irregular variables (SW Vir, η Gem and µ Gem) and a supergiant semi-regular variable (TV Gem) by lunar occultation observations in the near-infrared broad K-band (2.2 µm). Lunar occultations of η Gem and µ Gem were also observed for the first time simultaneously in both K and L ′ bands yielding angul...

The paper formulates projective dependency grammars in terms of constraints on a string based encoding of dependency trees and develops an approach to obtain a regular approximation for these grammars. In the approach, dependency analyses are encoded with balanced bracketing that encodes dependency relations among the words of the analyzed sentence. The brackets, thus, indicate dependencies rat...

The paper deals with the semi-classical behaviour of quantum dynamics for a semi-classical completely integrable system with two degrees of freedom near Liouville regular torus. The phenomomenon of wave packet revivals is demonstrated in this article. The framework of this paper is semi-classical analysis (limit : h → 0). For the proofs we use standard tools of real analysis, Fourier analysis a...

A central question concerning word recognition is whether linguistic categories are processed in continuous or categorical ways, in particular, whether regular and irregular inflection is stored and processed by the same or by distinct systems. Here, we contribute to this issue by contrasting regular (regular stem, regular suffix) with semi-irregular (regular stem, irregular suffix) and irregul...