Keywords Feature;Parametric design;CSG equation;Fixture layout;and Geometric analysis of process

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Space curve is one of the basic elements in geometric modeling, and its effective representation is the basis of modeling. Parametric representation based on features is a kind of high-level representation including semantic information. In Chapter 4, para- metric representations based on features for free form space curve are investigated, and a parametric model for the loop of plain knitted fabric is established, in which 5 parameters with practical meanings are used to represent the shape of a loop and the relationship between loops. A new shrinkage prediction method for knitted fabric are proposed based on the parametric representation and energy minimizing. Experimental results on some plain knitted fabrics illustrate the feasibility of the proposed method.

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Proposed surface geometric operations and the improved data structure can be applied for a general parametric surface and for representing solid bounded by other parametric surface.

所提出的曲面幾何處理的算法，改進的可統(tǒng)一表示曲面、實體模型的數(shù)據(jù)結(jié)構(gòu)亦可應(yīng)用于一般的參數(shù)曲面幾何處理與曲面實體模型的表示日本能看的黄色网站。

Surface parametrization is one of important problems in computer graphics and computer aided geometric design.

曲面參數(shù)化是計算機圖形學(xué)和計算機輔助幾何設(shè)計中一個非常重要的問題。

I have calculated the species diversity for 3 layers (i.e. tree layer, shrub layer and herb layer) by means of various biodiversity index formulas and analyzed the relative species abundance using 9 models of the probability density distribution functions, such as, 3 Distribution (or Beta Distribution, Weibull Distribution, Lognormal Distribution, Poisson Distribution, Binomial Distribution, Negative Binomial Distribution ,Geometric Distribution, etc.. chi-square analyses were conducted on species distribution by using the chi-square test formulated by Pearson to test which distribution function is better, the result of chi square test made it possible to reject the other 8 distribution functions, theβdistribution function performs better than other probability density functions, it has a very close approximation, which can be used for the description of relative abundances of species in forest communities in this data set.

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In Fabry-Pabry quantum structure, thetransmission coefficient show approximate periodicity as a function of geometric param-eters. The quantized thermal conductance does not appears due to the fact that hard-wallboundary conditions are applied in the structure.

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The results indicate that the scondary stress on several links has reached the permissible value, and changes regularly following the change of geometric parameters. It should be considered in engineering design.The whole paper includes five chapters.

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The sagittal depth ," S ",(also called sagitta , sagittal height or sag)is the perpendicular distance between the geometric center of the back lens surface and the diameter of the lens.

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The third chapter introduces the basic concepts and notations of geometric singular perturbation theory.

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Our methods are based on soliton integrable theory, geometric singular perturbation theory, and Melnikov analysis.

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