Symmetric alteration of four knots of B-spline and NURBS surfaces

INTRODUCTION Modification of knots of a B-spline curve changes the shape of the curve. In some recent pub-lications (Juhász and Hoffmann, 2001; 2003; Hoff-mann and Juhász, 2004; Li and Wang, 2005), the authors studied the effect of the alteration of a single knot on the shape of the curve. Hoffmann (2004) and Li & Wang (2006) applied these theories into the constrained shape modification of B-spline and NURBS curves. Juhász (2001) and Hoffmann & Ju-hász (2005) studied the effe…     

Subdivision surface modeling system based on arbitrary topological curves network and combined subdivision

Arbitrary topological curve network has no restriction in topology structure,so it has more powerful representing ability in defining complex surfaces.A complex surface modeling system is presented based on arbitrary topological curve network and the improved combined subdivision method,its functions including creating and editing curve network,and generating and modifying curve network's interpolated surface.This modeling system can be used to the process of products'concept design,and its applications is ...     

4-component 2-D CFDFD method in analysis of lossy circular waveguide with fractal rough surface

In this paper, equivalent surface impedance boundary condition (ESIBC), which takes fractal parameters (D, G) into SIBC, is implemented in the 4-component 2-D compact finite difference frequency domain (2-D CFDFD) method to an- alyze the propagation characteristics of lossy circular waveguide with fractal rough surface based on Weierstrass-Mandelbrot (W-M) function. Fractal parameters’ effects on attenuation constant are presented in the 3 mm lossy circular waveguide, and the attenuation constants of the fi...     

Effective extraction of elastase from Bacillus sp. fermentation broth using aqueous two-phase system

INTRODUCTION Aqueous two-phase system (ATPS) is widely used in biochemistry and biotechnology for purifica- tion of proteins (Diamond and Hsu, 1992; Balasubramaniam et al., 2003), enzymes (Pan et al., 2001; Bim and Franco, 2000), amino acids (Li et al., 2002), antibiotics (Yang et al., 1994; Guan et al., 1994), nucleic acids (Ohlsson et al., 1978; Kimura, 2000), aroma compounds (Marco et al., 2000) and lactic acid (Planas et al., 1998). ATPS is mainly composed of two-incompatible p…     

三个连续的发现与用几何方法研究数论的新构想

在对毛比斯面的证明方法的深入研究中，发现了一种证明方法——“递推法”；在对“递推法”的进一步探索中，发现了一类新几何体——“棱环体”；在研究“棱环体”的边数的变化规律中，得到了一张“数表”，对“数表”的进一步研究，又相继发现了“最大公约数定理”、“素数规律”等．“棱环体”的发现，引发了“扭曲几何学”的构想；“数表”的发现，为一种新的数论研究方法——“数论的几何研究法”的提出，奠定了基础。     

周口市地表水环境污染状况及改善措施

根据地表水的检测结果讨论了周口市地表水环境污染的状况，提出了改善措施，为周口市治理水环境污染工作提供了依据。     

局域弯曲液面的光学特性分析

研究了强度均匀分布的平行光束照射局域上（下）弯曲液面时，其反射光场及该反射光场经透镜后的透射光场的分布特点，发现上弯曲液面的反射光场为椭圆形暗场，下弯曲液面的反射光场为星形亮斑。而它们的透射光场恰好类似于对方的反射光场。对这些特点的形成进行了讨论，同时对上弯曲液面的反射光场进行了计算。     

图形—背景理论在英语倒装句焦点凸显功能分析中的作用

从认知语言学中的图形与背景理论的角度出发,重新分析了英语倒装句的焦点功能,认为英语倒装句符合图形—背景理论中的凸显原则。在语言的实际运用中,说话人将正常语序结构“图形—背景”转化为“背景—图形”,形成句末焦点,达到了最佳凸显效果,引起听者对图形的注意。     

谈"反差现象"与艺术创作兴奋的形成

“反差现象”对艺术创作具有特殊的作用和影响，特别是地域环境反差对艺术创作兴奋的形成、身份和命运反差对艺术创造激情的产生、文化思想观念反差对艺术诗性的升华等，无不生发重要而深远的影响。在当今艺术全球化时代，艺术家应该主动拓宽新的文化反差层面，形成新的艺术兴奋点，创造更多的艺术精品。     

Visible region extraction from a sequence of rational Bézier surfaces

A method for computing the visible regions of free-form surfaces is proposed in this paper. Our work is focused on accurately calculating the visible regions of the sequenced rational Bézier surfaces forming a solid model and having coincident edges but no inner-intersection among them. The proposed method calculates the silhouettes of the surfaces without tessellating them into triangle meshes commonly used in previous methods so that arbitrary precision can be obtained. The computed silhouettes of visible surfaces are projected onto a plane orthogonal to the parallel light. Then their spatial relationship is applied to calculate the boundaries of mutual-occlusion regions. As the connectivity of the surfaces on the solid model is taken into account, a surface clustering technique is also employed and the mutual-occlusion calculation is accelerated. Experimental results showed that our method is efficient and robust, and can also handle complex shapes with arbitrary precision. Project supported by the National Basic Research Program (973) of China (No. 2002CB312106) and the National Natural Science Foundation of China (Nos. 60533070, and 60403047). The third author was supported by the project sponsored by a Foundation for the Author of National Excellent Doctoral Dissertation of China (No. 200342) and a Program for New Century Excellent Talents in University (No. NCET-04-0088), China