Analysis of Anomalous Swelling by a Rubber Elasticity Model for Entangled Networks

A complete equation of the swelling activity parameter (S) as a function of swelling deformation (λ_s ) is derived by using a non-Gaussian elastic network model, including a tube concept and the Flory–Rehner model, and by following McKenna's criterion that takes into account the disparity between the Flory–Huggins interaction parameters for cross-linked and uncross-linked polymers. However, only a part of tube at the network chain size scale is extended to that for a large-scale structure according to the “gel tensile blob” model for equilibrium swollen networks. This approach is basically best for the “ideal regular network + simple structured good-solvent” binary systems due to its model character. As a result, it reproduces well the literature data of S versus λ_s ² with a maximum/inflection measured for such actual systems.     

基于最小风险贝叶斯决策的印刷品斑点检测方法

针对印刷品斑点检测缺乏有效检测方法的难题,依据统计决策和贝叶斯分析的基本原理,结合模式识别和机器礼堂相关理论技术,提出了一种基于最小风险贝叶斯决策的印刷品斑点检测方法;以烟标图像为例,实验验证了所提算法的准确性与有效性;该实验表明:所提算法能够有效地检测出烟标中的黑色斑点,分割出来的斑点图像基本上保持了原有的形状;最后,提出了进一步的改进方法。     

Lemniscates 3D: a CAGD primitive?

A 3D lemniscate is an implicitly given surface which generalizes the well-known Bernoulli lemniscates curves and the Cassini ovals in 2D. It is characterized by placing a finite number of points in space (the foci) and choosing a constant (radius), its algebraic degree is twice the number of foci and it is always contained in the union of certain spheres centered at the foci. The distribution of the foci gives a rough idea of the 3D shapes that could be modeled with any of the connected components of the lemniscate. The position of the foci can be used to stretch and to produce knoblike features. Given a set of foci, for a small radius the lemniscate consists of a number of spherelike surfaces centered at the foci which do not touch each other. As the radius increases the disconnected pieces coalesce producing interesting surfaces. In order to make 3D lemniscates a potentially useful primitive for CAGD it is necessary to control the coalescing/splitting of the connected components of the lemniscate while we move the foci and change the radius, simultaneously. In this paper we offer tools towards this control. We look closely at the case of four noncoplanar foci. AMS subject classification 65D05, 65D17, 65D18This work was partially supported by grant G97 000651 of Fonacit, Venezuela.