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| 1 | An extension of Bernstein-Bezier surface over the triangular domain显示文摘在这篇论文,有一个参数的度 n 的一套 quasi-Bernstein 多项式被介绍,它是在三角形的领域上的伯恩斯坦多项式的延期。用基础工作的介绍多项式,我们构造调整也就是,与一个形状参数在三角形的域上定义的表面的形状的一个类 quasi-B-B 参量的表面。这些表面与 B-B 参量的表面分享许多性质。特别地,当形状参数等于 1 时,他们堕落是 B-B 参量的表面。由改变形状参数的价值,我们能在固定控制网下面得到不同表面。 | CAO Juan WANG Guozhao | 2007 | Progress in Natural Science:Materials International2007，17，3： | 18 |
| 2 | Geometric construction of energy-minimizing Bézier curves显示文摘Modeling energy-minimizing curves have many applications and are a basic problem of Geometric Modeling.In this paper,we propose the method for geometric design of energy-minimizing B′ezier curves.Firstly,the necessary and sufficient condition on the control points for B′ezier curves to have minimal internal energy is derived.Based on this condition,we propose the geometric constructions of three kinds of B′ezier curves with minimal internal energy including stretch energy,strain energy and jerk energy.Given some control points,the other control points can be determined as the linear combination of the given control points.We compare the three kinds of energy-minimizing B′ezier curves via curvature combs and curvature plots,and present the collinear properties of quartic energy-minimizing B′ezier curves.We also compare the proposed method with previous methods on efficiency and accuracy.Finally,several applications of the curve generation technique,such as curve interpolation with geometric constraints and modeling of circle-like curves are discussed. | XU Gang 1,4,5,WANG GuoZhao 2 & CHEN WenYu 2,3 1 Institute of Graphics and Image,Hangzhou Dianzi University,Hangzhou 310018,China 2 Department of Mathematics,Zhejiang University,Hangzhou 310027,China 3 School of Computer Engineering,Nanyang Technological University,639798,Singapore 4 Galaad,INRIA Sophia-Antipolis,2004 Route des Lucioles,06902,France 5 State Key Lab of CAD & CG,Zhejiang University,Hangzhou 310027,China | 2011 | Science China(Information Sciences)2011，54，7： | 15 |
| 3 | Metal-organic framework-derived porous shuttle-like vanadium oxides for sodium-ion battery application显示文摘有分层的结构的钒氧化物为锂离子电池和钠离子电池(亲族) 正在答应候选人。自我模板途径,从金属器官的框架(MOF ) 包含转变进多孔的金属氧化物,是完成理想的电气化学的性能的一个新奇、有效的方法。在这研究,多孔的像梭的钒氧化物(即, V 2 O 5, V 2 O 3/C) 被与一个特定的锻烧过程把 MIL-88B (V) 用作先锋成功地准备。作为 proof-of-concept 应用, asprepared 多孔的像梭的 V 2 O 3/C 为亲族被用作阳极材料。多孔的像梭的 V 2 与金属性的行为有固有的分层的结构的 O 3/C, ,展出优秀电气化学的性质。417, 247, 202, 176, 164,和 149 mAhants 的显著的率能力,仅仅 CC 一?? | Yangsheng Cai Guozhao Fang Jiang Zhou Sainan Liu Zhigao Luo Anqiang Pan Guozhong Cao I Shuquan Liang | 2018 | Nano Research2018，11，1： | 12 |
| 4 | V2O5 Nanospheres with Mixed Vanadium Valences as High Electrochemically Active Aqueous Zinc-Ion Battery Cathode显示文摘AV4+-V2O5 cathode with mixed vanadium valences was prepared via a novel synthetic method using VOOH as the precursor,and its zinc-ion storage performance was evaluated.The products are hollow spheres consisting of nanoflakes.The V4+-V2O5 cathode exhibits a prominent cycling performance,with a specific capacity of 140 mAhg-1 after 1000 cycles at 10 A g.1,and an excellent rate capability.The good electrochemical performance is attributed to the presence of V4+,which leads to higher electrochemical activity,lower polarization,faster ion diffusion,and higher electrical conductivity than V2O5 without V4+.This engineering strategy of valence state manipulation may pave the way for designing high-performance cathodes for elucidating advanced battery chemistry. | Fei Liu Zixian Chen Guozhao Fang Ziqing Wang Yangsheng Cai Boya Tang Jiang Zhou Shuquan Liang | 2019 | Nano-Micro Letters2019，11，2： | 12 |
| 5 | The structure of uniform B-spline curves with parameters显示文摘The shape-adjustable curve constructed by uniform B-spline basis function with parameter is an extension of uniform B-spline curve. In this paper, we study the relation between the uniform B-spline basis functions with parameter and the B-spline basis functions. Based on the degree elevation of B-spline, we extend the uniform B-spline basis functions with parameter to ones with multiple parameters. Examples show that the proposed basis functions provide more flexibility for curve design. | Juan Cao Guozhao Wang | 2008 | Progress in Natural Science:Materials International2008，18，3： | 9 |
| 6 | Simultaneous regulation of cations and anions in an electrolyte for high-capacity, high-stability aqueous zinc–vanadium batteries显示文摘Safe,inexpensive aqueous zinc-ion batteries(AZIBs)are regarded as promising energy storage devices.However,they still face issues,including dissolution and collapse of the cathode as well as H_(2)evolution and the growth of Zn dendrites on the Zn anode.Herein,we simultaneously regulate the cations and anions in the electrolyte for high-capacity,high-stability aqueous zinc–vanadium(Zn–V)batteries based on a bimetallic cation-doped Na_(0.33)K_(0.1)V_(2)O_(5)·nH_(2)O cathode.We demonstrate that Na^(+) cations suppress cathode dissolution and restrain Zn dendrite growth on the anode via an electrostatic shield effect.We also illustrate that ClO_(4)^(-) anions participate in energy storage at the cathode and are reduced to Cl^(-),generating a protective layer on the Zn anode surface and providing a stable interface to decrease Zn dendrites and H_(2)evolution during long-term cycling.When Na^(+) and ClO_(4)^(-) are introduced into an aqueous ZnSO_(4) electrolyte,a Zn/Zn symmetric cell shows durable and reversible Zn stripping/plating for 1500 h at a current density of 1 mA cm^(-2) and with an area capacity of 1 mAh cm^(-2).Zn/Na_(0.33)K_(0.1)V_(2)O_(5)·nH_(2)O full batteries exhibit a high capacity of 600 mAh g^(-1)at 0.1 A g^(-1) and long-term cycling performance for 5000 cycles,with a capacity of 200 mAh g^(-1) at 20 Ag^(-1). | Ziqing Wang Miao Zhou Liping Qin Minghui Chen Zixian Chen Shan Guo Liangbing Wang Guozhao Fang Shuquan Liang | 2022 | eScience2022，2，2： | 8 |
| 7 | Suppressing by-product via stratified adsorption effect to assist highly reversible zinc anode in aqueous electrolyte显示文摘The development of promising zinc anodes mainly suffers from their low plating/stripping coulombic efficiencies when using aqueous electrolyte,which are mainly associated with the interfacial formation of irreversible by-products.It is urgent to develop technologies that can solve this issue fundamentally.Herein,we report an artificial Sc_(2)O_(3) protective film to construct a new class of interface for Zn anode.The density functional theory simulation and experimental results have proven that the interfacial side reaction was inhibited via a stratified adsorption effect between this artificial layer and Zn anode.Benefiting from this novel structure,the Sc_(2)O_(3)-coated Zn anode can run for more than 100 cycles without short circuit and exhibit low voltage hysteresis,and the coulombic efficiency increases by 1.2%.Importantly,it shows a good application prospect when matched with two of popular manganese-based and vanadium-based cathodes.The excellent electrochemical performance of the Sc_(2)O_(3)-coated Zn anode highlights the importance of rational design of anode materials and demonstrates a good way for developing high-performance Zn anodes with long lifespan and high efficiency. | Miao Zhou Shan Guo Guozhao Fang Hemeng Sun Xinxin Cao Jiang Zhou Anqiang Pan Shuquan Liang | 2021 | Journal of Energy Chemistry2021，30，4： | 6 |
| 8 | Modeling golden section in plants显示文摘Plants are complex structures,changing their shapes in response to environmental factors such as sunlight,water and neighboring plants. However,some mathematical rules can be found in their growth patterns,one of which is the golden section. The golden section can be observed in branching systems,phyllotaxis,flowers and seeds,and often the spiral arrangement of plant organs. In this study,tree,flower and fruit models have been generated by using the corresponding golden section characteristics,resulting in more natural patterns. Furthermore,the golden section can be found in the bifurcate angles of trees and lobed leaves,extending the golden section theory. | Lanling Zeng,Guozhao Wang Institute of Computer Graphic and Image Processing,Zhejiang University,Hangzhou 310027,China | 2009 | Progress in Natural Science:Materials International2009，19，2： | 4 |
| 9 | Interpolating triangular meshes by Loop subdivision scheme显示文摘Using the limit point formula of the Loop subdivision scheme,we propose a very simple and efficient method for constructing interpolation surface of triangular meshes by Loop subdivision scheme.The excellent properties of the method are:(1) Locality:the perturbation of a given vertex only influences the surface shape near this vertex.(2) Efficiency:the locations of new points can be computed with explicit formulae.(3) Easiness in implementation:only the geometric rule of the first step should be modified.(4) Freedom:for each edge,there is one degree of freedom to adjust the shape of the interpolation surface.(5) Easiness in generalization:it is easy to generalize our method to other approximation subdivision schemes with explicit formulae to compute limit point. | DENG ChongYang WANG GuoZhao | 2010 | Science China(Information Sciences)2010，53，9： | 4 |
| 10 | An orthogonal basis for the hyperbolic hybrid polynomial space显示文摘Motivated by the wide usage of the Tchebyshev basis and Legendre basis in the algebra polynomial space, we construct an orthogonal basis with the properties of the H-Bézier basis in the hyperbolic hybrid polynomial space, which is similar to the Legendre basis and holds remarkable properties. Moreover, we derive the transformation matrices that map the H-Bézier basis and the orthogonal basis forms into each other. An example for approximating the degree reduction of the H- Bézier curves is sketched to illustrate the utility of the orthogonal basis. | HUANG Yu WANG GuoZhao | 2007 | Science in China(Series F)2007，50，1： | 4 |
| 11 | Efficient Construction of B-Spline Curves with Minimal Internal Energy显示文摘In this paper,we propose an efficient method to construct energy-minimizing B-spline curves by using discrete mask method.The linear relations between control points are firstly derived for different energy-minimization problems,then the construction of B-spline curve with minimal internal energy can be addressed by solving a sparse linear system.The existence and uniqueness of the solution for the linear system are also proved.Experimental results show the efficiency of the proposed approach,and its application in 1 G blending curve construction is also presented. | Gang Xu Yufan Zhu Lishan Deng Guozhao Wang Bojian Li Kin-chuen Hui | 2019 | Computers, Materials & Continua2019，，3： | 3 |
| 12 | A Unified Approach to Construct Generalized B-Splines for Isogeometric Applications显示文摘Generalized B-splines have been employed as geometric modeling and numerical simulation tools for isogeometric analysis(IGA for short). However, the previous models used in IGA,such as trigonometric generalized B-splines or hyperbolic generalized B-splines, are not the unified mathematical representation of conics and polynomial parametric curves/surfaces. In this paper,a unified approach to construct the generalized non-uniform B-splines over the space spanned by{α(t), β(t), ξ(t), η(t), 1, t, ···, t^(n-4)} is proposed, and the corresponding isogeometric analysis framework for PDE solving is also studied. Compared with the NURBS-IGA method, the proposed frameworks have several advantages such as high accuracy, easy-to-compute derivatives and integrals due to the non-rational form. Furthermore, with the proposed spline models, isogeometric analysis can be performed on the computational domain bounded by transcendental curves/surfaces, such as the involute of circle, the helix/helicoid, the catenary/catenoid and the cycloid. Several numerical examples for isogeometric heat conduction problems are presented to show the effectiveness of the proposed methods. | XU Gang SUN Ningning XU Jinlan HUI Kin-Chuen WANG Guozhao | 2017 | Journal of Systems Science & Complexity2017，30，4： | 3 |
| 13 | Effects of L-3-n-butylphthalide on caspase-3 and nuclear factor kappa-B expression in primary basal forebrain and hippocampal cultures after beta-amyloid peptide 1-42 treatment显示文摘BACKGROUND:L-3-n-butylphthalide(L-NBP) can inhibit phosphorylation of tau protein and reduce the neurotoxicity of beta-amyloid peptide 1-42(Aβ_(1-42)). OBJECTIVE:To observe the neuroprotective effects of L-NBP on caspase-3 and nuclear factor kappa-B(NF-κB) expression in a rat model of Alzheimer's disease. DESIGN,TIME AND SETTING:A cell experiment was performed at the Central Laboratory of Provincial Hospital affiliated to Shandong University between January 2008 and August 2008. MATERIALS:L-NBP(purity>98%) was provided by Shijiazhuang Pharma Group NBP Pharmaceutical Company Limited.Aβ_(1-42),3-[4,5-dimethylthiazolo-2]-2,5 iphenyltetrazolium bromide(MTT),and rabbit anti-Caspase-3 polyclonal antibody were provided by Cell Signaling, USA;goat anti-choactase and rabbit anti-NF-κB antibodies were provided by Santa Cruz,USA. METHODS:Primary cultures were generated from rat basal forebrain and hippocampal neurons at 17 or 19 days of gestation.The cells were assigned into five groups:the control group,the Aβ_(1-42) group(2μmol/ L),the Aβ_(1-42) + 0.1μmol/L L-NBP group,the Aβ_(1-42)+ 1μmol/L L-NBP group,and the Aβ_(1-42)+ 10μmol/L L-NBP group.The neurons were treated with Aβ_(1-42)(2μmol/L) alone or in combination with L-NBP(0.1,1,10μmol/L) for 48 hours.Cells in the control group were incubated in PBS. MAIN OUTCOME MEASURES:Morphologic changes were evaluated using inverted microscopy, viability using the MTT method,and the changes in caspase-3 and NF-κB expression using Western blot. RESULTS:Induction with Aβ_(1-42) for 48 hours caused cell death and soma atrophy,and increased caspase-3 and NF-κB expression(P<0.05).L-NBP blocked these changes in cell morphology, decreased caspase-3 and NF-κB expression(P<0.05),and improved cell viability,especially at the high dose(P<0.05). CONCLUSION:Aβ_(1-42) is toxic to basal forebrain and hippocampal primary neurons;L-NBP protects against this toxicity and inhibits the induction of caspase-3 and NF-κB expression. | Ruixia Wang Yong Zhang Liangliang Jiang Guozhao Ma Qingxi Fu Jialong Li Peng Yan Lunqian Shen Yabo Feng Chunxia Li Zaiying Pang Yuanxiao Cui Chunfu Chen Yifeng Du Zhaokong Liu | 2009 | Neural Regeneration Research2009，4，4： | 3 |
| 14 | Degree elevation operator and geometric construction of C-B-spline curves显示文摘Unlike a B'ezier curve,a spline curve is hard to be obtained through geometric corner cutting on control polygons because the degree elevation operator is difficult to be obtained and geometric convergence is hard to be achieved.In order to obtain geometric construction algorithm on C-B-splines,firstly we construct the degree elevation operator by using bi-order splines in this paper.Secondly we can obtain a control polygon sequence by degree elevation based on the degree elevation operator derived from a C-B-spline curve.Finally,we prove that this polygon sequence will converge to initial C-B-spline curve.This geometric construction algorithm possesses strong geometric intuition.It is also simple,stable and suitable for hardware to perform.This algorithm is important for CAD modeling systems,since many common engineering curves such as ellipse,helix,etc.can be represented explicitly by C-B-splines. | ZHU Ping WANG GuoZhao YU JingJing | 2010 | Science China(Information Sciences)2010，53，9： | 2 |
| 15 | Longitudinal mechanical response of tunnels under active normal faulting显示文摘This paper aims to clarify the mechanism of the longitudinal response of a tunnel under normal faulting via a comprehensive analysis of available experimental data and numerical simulations.Four 1 g condition model tests were reviewed and reanalysed to highlight the key characteristics of the tunnel response under normal faulting:S-shaped deformation and inverted S-shaped bending strain distribution in the longitudinal direction;the main affected zone of faulting is approximately six times the tunnel diameter to the fault plane.A threedimensional finite element model was also established and verified,followed by a sensitivity analysis of key parameters,including the fault dislocation,dip angle,tunnel rigidity and relative stiffness between the hanging wall and footwall.All results reveal that the longitudinal mechanical response under normal faulting is dominated by a combination of bending,tension,and shearing.Bending and shearing are induced by the large unbalanced rock pressure at the vault in the hanging wall and the inverted arch in the footwall;the value of unbalanced rock pressure is directly proportional to the dislocation but negatively correlated with the dip angle.Although the main part of the tunnel stays in tension,axial compressive strain exists around the fault plane when the dip angle is greater than 70 °,which may be related to the ovaling effect of the tunnel.Such an ovaling effect is caused by the compression at the cross-section of the tunnel and may lead to more complicated internal strain. | Yafei Qiao Jie Tang Guozhao Liu Manchao He | 2022 | Underground Space2022，7，4： | 2 |
| 16 | Tuning crystal structure and redox potential of NASICON-type cathodes for sodium-ion batteries显示文摘Sodium superionic conductor(NASICON)-type compounds have been regarded as promising cathodes for sodium-ion batteries(SIBs)due to their favorable ionic conductivity and robust structural stability.However,their high cost and relatively low energy density restrict their further practical application,which can be tailored by widening the operating voltages with earth-abundant elements such as Mn.Here,we propose a rational strategy of infusing Mn element in NASICON frameworks with sufficiently mobile sodium ions that enhances the redox voltage and ionic migration activity.The optimized structure of Na3.5Mn0.5V1.5(PO4)3/C is achieved and investigated systematically to be a durable cathode(76.6%capacity retention over 5,000 cycles at 20 C)for SIBs,which exhibits high reversible capacity(113.1 mAh·g^−1 at 0.5 C)with relatively low volume change(7.6%).Importantly,its high-areal-loading and temperature-resistant sodium ion storage properties are evaluated,and the full-cell configuration is demonstrated.This work indicates that this Na3.5Mn0.5V1.5(PO4)3/C composite could be a promising cathode candidate for SIBs. | Xuemei Ma Xinxin Cao Yifan Zhou Shan Guo Xiaodong Shi Guozhao Fang Anqiang Pan Bingan Lu Jiang Zhou Shuquan Liang | 2020 | Nano Research2020，13，12： | 2 |
| 17 | Generating planar spiral by geometry driven subdivision scheme显示文摘Spirals are curves with one-signed, monotone increasing or decreasing curvature. They are commonly useful in a variety of applications, either for aesthetic or for engineering requirements. In this paper we propose a new iterative subdivision scheme for generating planar spiral segments from two points and their tangent vectors. The subdivision process consists of two main steps, computing new points and adjusting tangent vectors adaptively for each iteration. We categorize this iterative scheme as geometry driven because we utilize the old points and their tangent vectors whereas most other iterative schemes rely only on the old points. Some numerical examples are presented to show the advantageous properties of the new scheme. | DENG ChongYang WANG GuoZhao | 2009 | Science in China(Series F)2009，52，10： | 2 |
| 18 | Investigation of sodium vanadate as a high-performance aqueous zinc-ion battery cathode显示文摘Due to the intrinsic advantages of nontoxicity, low-cost, and abundant resource of metallic zinc, aqueous zinc-ion batteries (ZIBs) have attracted universal interest [1,2]. Tremendous cathode materials have been exploited in aqueous ZIBs, such as manganese-based materials [3-11], Co-based materials [12,13] and vanadium-based materials [14-21]. | Binghong She Lutong Shan Huijie Chen Jiang Zhou Xun Guo Guozhao Fang Xinxin Cao Shuquan Liang | 2019 | Journal of Energy Chemistry2019，28，10： | 2 |
| 19 | A note on class a Bezier curves显示文摘 | Cao Juan Wang Guozhao | 2008 | Computer Aided Geometric Design2008，25，7： | 1 |
| 20 | Planar point set fairing and fitting by arc splines 显示文摘 | Xunnian Yang Guozhao Wang | 2001 | Computer Aided Design2001，，： | 1 |
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