Proof of Straley's argument for bootstrap percolation

We prove thatP _c =1 for bootstrap percolation with large void instabilities (in particular, ifm=3 on the square lattice).     

In search of the ‘impenetrable’ volume of a molecule in a noncovalent complex

ABSTRACT

We propose to characterise the “impenetrable” volumes of molecules A and B in a complex A---B by finding that contour of its electronic density that separates the molecular surfaces of A and B but leaves them almost touching. The volume of the complex within that contour is always less than within the 0.001 au contour. The percent difference measures the interpenetration of the two molecules at equilibrium, and is found to directly correlate with the binding energy of the complex. We interpret the volume of each molecule that is enclosed by the almost-touching contour as that molecule's impenetrable volume relative to its particular partner. The percents by which the molecules' relative impenetrable volumes differ from their 0.001 au volumes in the free states also correlate with the strengths of the interactions. This allows the “absolute” impenetrable volume of any molecule to be estimated as ～25% of its 0.001 au volume in the free state. However this absolute impenetrable volume is only approached by the molecule in a relatively strong interaction.     

基于投影的断层间多连通物体轮廓表面重建

提出一种基于轮廓投影关系判断的断层间多连通轮廓的表面重建方法,在分析轮廓投影关系特性的基础上,建立了“连接表面投影区”;在连接表面投影区域内,利用距离函数生成过渡区域的体数据,进行表面重建的计算;并可根据需要进行插值计算,生成分辨率较高的体数据;最后对MT算法进行改进,抽取等值面,完成物体的表面重建,该方法缩短了体数据的构造时间,加快了整个表面的重建速度,保证了重建表面的正确性。