We present a novel approach to efficiently modelling branch structures with high-quality meshes. Our approach has the following advantages. First, the limit surface can fit the target skeleton models as tightly as possible by reversely calculating the control vertices of subdivision surfaces. Second, high performance is achieved through our proposed analytical solutions and the parallel subdivi...

A certain amount of structure is necessary simply because a clause may embed another clause, or one clause may attach to another clause or parts of it. Leaving this need of structure aside, the question then is how much structure should a (minimal) clause have? Grammar formalisms can differ significantly on this issue. Minimal clauses can be just strings, or words linked by dependencies (depend...

In the oil supply chain, the refined petroleum products are transported by various transportation modes, such as rail, road, vessel and pipeline. The latter provides one of the safest and cheapest ways to connect production areas to local markets. This paper addresses the operational scheduling of a multi-product tree-like pipeline connecting several refineries to multiple distribution centers ...

In this paper we show that an arbitrary tree-like Markov chain can be embedded in a binary tree-like Markov chain with a special structure. When combined with [7], this implies that any tree structured QBD Markov chain can be reduced to a binary tree-like process. Furthermore, a simple relationship between the V , Rs and Gs matrices of the original and the binary tree-like Markov chain is estab...

background: rna molecules play many important regulatory, catalytic and structuralroles in the cell, and rna secondary structure prediction with pseudoknots is one themost important problems in biology. an rna pseudoknot is an element of the rna secondary structure in which bases of a single-stranded loop pair with complementary basesoutside the loop. modeling these nested structures (pseudokno...

quantifying spatial structure is one of the most important components, describing natural ecosystems and their biodiversity. in this study, a set of indices and functions related to spatial structure using 102 established plots with an area of 1000 m2 were presented. to achieve spatial structure of carpinus-fagus type, a set of indices (clark & evans, uniform angle, shannon-wiener, mingling and...