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Conditions of G^n Continuity Between surfaces

Science China Mathematics 1994年第3期37卷 365-378页

作者：马利庄彭群生何志钧 State Key Lab.of CAD & CG Institute of Artificial IntelligenceZhejiang UniversityHangzhou 310027PRC State Key Lab.of CAD & CG Institute of Artificial IntelligenceZhejiang UniversityHangzhou 310027PRCeometric continuity between parametric surfaces is an important issue in CAGD.So far rest-arches have been concentrated on it for N-dimensional surfaces whose common boundary is of N-1 dimensions.No results have ever been obtained for the case where the common boundary of the two surfaces is of L dimensions0≤L≤Nor the two adjacent surfaces are of unequal dimensions.In this paperthe conditions of high-order geometric continuity between parametric surfaces are studied for these general cases By analysing the structure of Gn transformationsgeneral solutions as well as an iterative method for determining adjustable functions are proposed.Some equivalent conditions of Gn continuity (nth order geometric continuity) are derived with an emphasis on conditions for triangular and rectangular Bezier surfaces.Since the Gn conditions for polynomial parametric surfaces are expressed in the form of explicit relationship of control points of Bezier surfacesthey are very useful both in theory and application for CAD/CAM and CAGD.FinallyGn conditions between q-dimensional submanifolds of N-dimensional and M-dimensional surfaces are studiedthus a complete theoretical basis is laid for the problem of geometric continuity

Geometric continuity between parametric surfaces is an important issue in *** far rest-arches have been concentrated on it for N-dimensional surfaces whose common boundary is of N-1 *** results have ever been obtained for the case where the common boundary of the two surfaces is of L dimensions,0≤L≤N,or the two adjacent surfaces are of unequal *** this paper,the conditions of high-order geometric continuity between parametric surfaces are studied for these general cases By analysing the structure of Gn transformations,general solutions as well as an iterative method for determining adjustable functions are *** equivalent conditions of Gn continuity (nth order geometric continuity) are derived with an emphasis on conditions for triangular and rectangular Bezier *** the Gn conditions for polynomial parametric surfaces are expressed in the form of explicit relationship of control points of Bezier surfaces,they are very useful both in theory and application for CAD/CAM and ***,Gn conditions between q-dimensional submanifolds of N-dimensional and M-dimensional surfaces are studied,thus a complete theoretical basis is laid for the problem of geometric continuity

关键词： CAGD parametric curves and surfaces nth order geometric continuity

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Boundedness of singular integrals along surfaces on Lebesgue spaces

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Applied Mathematics(A Journal of Chinese Universities) 2010年第2期25卷 192-198页

作者： ZHANG Yan-dan CHEN Jie-cheng ZHANG Chun-jie Department of Mathematics Zhejiang University of Technology Hangzhou 310023 China Department of Mathematics Zhejiang University Hangzhou 310027 China College of Science Hangzhou Dianzi University Hangzhou 310018 China

In the paper, we establish the LP（Rn＋1）-boundedness for a class of singular integral operators associated to surfaces of revolution {（y,γ（｜y｜）, y ∈ Rn} with rough kernels. We also give several applications o... 详细信息

关键词： Singular integrals surfaces rough kernels Plancherel's theorem oscillatory singular integrals.

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BOUNDS ON COINCIDENCE INDICES ON NON-ORIENTABLE surfaces

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Chinese Annals of Mathematics,Series B 2005年第2期26卷 315-322页

作者： D. VENDRúSCOLO Departamento de Matemática Universidade Federal de So Carlos. Rod. Washington Luiz Km 235 - C.P. 676 CEP:13565-905 So Carlos SP Brazil

This paper presents some results about bounds for coincidence indices of Nielsen coincidence classes for maps between nonorientable surfaces. Denoting by Kn the nonorientable surface constructed by a connected sum of n torus with a Klein bottle, the author proves: (i) for pairs of maps between two Klein bottles or for pairs of maps from a Klein bottle to a surface Kn the coincidence class index is bounded. (ii) for pairs of maps from Kn to the Klein bottle the coincidence class index is unbounded. Other boundedness results are given for more technical conditions, including one for self maps.

关键词： Nielsen theory Coincidence theory Coincidence index surfaces

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On Rough Marcinkiewicz Integrals along surfaces

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Acta Mathematica Sinica,English Series 2010年第4期26卷 717-730页

作者： Huo Xiong WU Jian Kai XU School of Mathematical Sciences Xiamen University Xiamen 361005 P. R. China

In this paper, the authors establish the LP-mapping properties of certain classes of Marcinkiewicz integral operators along surfaces with rough kernels. The results in this paper essentially extend as well as improve ... 详细信息

关键词： Marcinkiewicz integrals surfaces maximal operator Hardy space rough kernel

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Synthesis of Cr-Al_2O_3 Cermet Selective surfaces Coated by SnO_2 Thin Film by Air Plasma Spraying

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稀有金属材料与工程 2012年第S1期41卷 272-275页

作者： Zhu Zhenqi,Cheng Xudong,Li Guanglei School of Materials Science and Technology,Wuhan University of Technology,Wuhan 430070,China Wuhan Univ Technol State Key Lab Adv Technol Mat Synth & Proc Sch Mat Sci & Technol Wuhan 430070 Peoples R China

High efficient Cr-Al2O3 cermet selective surfaces coated by sol-gel SnO2 thin film for high-temperature application were synthesized by air plasma spraying(APS),followed further heat and polish *** phase composition and micro morphology of coating samples were characterized by X-ray diffractions(XRD),scanning electron microscope(SEM)and roughmeter *** solar absorptance(α)and thermal emittance(ε)were determined by optical spectrum *** results show that Cr-Al2O3 cermet coating has a high absorptivity nearly *** unfortunately,the emissivity of these coatings is nearly 0.50 because of the big thickness and coarse surface prepared by APS ***,once coated SnO2 thin film,the composite coatings exhibit excellent selective absorbing property of α=0.89 and ε=***,SnO2 thin film plays a significant role in decreasing the emissivity of coatings as antireflection *** furthermore,the optical performance shows that more metal content and smooth surface are favorable for the selective absorbing ***,the coatings have excellent bond strength with stainless steel substrate and thermal shock resistance at high temperature.

关键词： selective surfaces SnO2 thin film air plasma spraying

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Thickness of calcium carbonate coats on stones of the Heishanxia terraces of the Yellow River and dating of coarse clastic sedimentary geomorphic surfaces

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Chinese Science Bulletin 2002年第19期47卷 1594-1600页

作者： Chengqi Xing Gongming Yin Guoyu Ding Yanchou Lu Xuhui Shen Qinjian Tian Zhizhang Chai Kaibo Wei Beijing Seismological Bureau Beijing 100080 China Institute of Geology China Seismological Bureau Beijing 100029 China Center for Analysis and Prediction China Seismological Bureau Beijing 100036 China Seismol. Bur. N. Hui Autonomous Reg. Yinchuan 750001 China

The calcium carbonate coats on stones developed in soil on the geomorphic surfaces of coarse clastic sediments in arid-semiarid regions contain evident information of age. The thickness of coats can be used not only as a good age indicator for the geomorphic surfaces but also coats themselves can be directly used as dating materials in the ESR method. Through measuring the thickness of carbonate coats on stones in soils on the alluvial terraces in the mouth of the Heishanxia gorge of the Yellow River and ESR dating of layers separated from the carbonate coats, the average of accumulation rates of the thickness of carbonate coats on stones since 1.57 Ma was calculated to be 0.10 mm/ka in the studied area, and a regression equation between carbonate coat thickness and age was also generated. From these research results, ages of T2-T11 terraces of the Yellow River in the studied area were systematically determined, and their values are in turn 18 ka, 94 ka, 139 ka, 215 ka, 305 ka, 410 ka, 495 ka, 742 ka,

关键词： dating method of carbonate coats on stones soil devel-opment Yellow River terraces geomorphic surfaces Heishanxia gorge.

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The genus distributions for a certain type of permutation graphs in orientable surfaces

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Science China Mathematics 2007年第12期50卷 1748-1754页

作者： Rong-xia HAO~(1+) Wei-li HE~1 Yan-pei LIU~1 Er-ling WEI~2 ~1 Department of Mathematics,Beijing Jiaotong University,Beijing 100044,China ~2 School of Information,Renmin University of China,Beijing 100872,China Department of Mathematics Beijing Jiaotong University Beijing China School of Information Renmin University of China Beijing China

A circuit is a connected nontrivial 2-regular graph. A graph G is a permutation graph over a circuit C, if G can be obtained from two copies of C by joining these two copies with a perfect matching. In this paper, based on the joint tree method introduced by Liu, the genus polynomials for a certain type of permutation graphs in orientable surfaces are given.

关键词： graph, genus distribution, genus, surfaces

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GALOIS TRIPLE COVERS OF surfaces

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Science China Mathematics 1991年第8期34卷 935-942页

作者：谈胜利 Department of Mathematics East China Normal University Shanghai 200062 PRC

The basic theory on Galois triple covers is developed in this paper. For Galois triplecovers, it is proved that the singularities can be resolved by a canonical method, and someformulas for the invariants are found.

关键词： surfaces triple covers invariants resolution of singularities.

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The genus polynomials of cross-ladder digraphs in orientable surfaces

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Science China Mathematics 2008年第5期51卷 889-896页

作者： HAO RongXia LIU YanPei Department of Mathematics Beijing Jiaotong UniversityBeijing 100044China

Some results about the genus distributions of graphs are known,but little is known about those of *** this paper,the method of joint trees initiated by Liu is generalized to compute the embedding genus distributions of digraphs in orientable *** genus polynomials for a new kind of 4-regular digraphs called the cross-ladders in orientable surfaces are *** results are close to solving the third problem given by Bonnington et al.

关键词： graph genus distribution genus surfaces 05C10

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Bio-inspired nanofunctionalisation of biomaterial surfaces:a review

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Biosurface and Biotribology 2019年第3期5卷 83-92页

作者： Chaoming Xie Key Laboratory of Advanced Technologies of Materials Ministry of EducationSchool of Materials Science and EngineeringSouthwest Jiaotong UniversityChengduSichuan 610031People's Republic of China School of Optoelectronic Science and Engineering University of Electronic Science and Technology of ChinaChengduSichuan 61031People's Republic of China

The surfaces of biomaterials determine their efficacy and hence,have an important role in clinical *** bio-inspired surface nanofunctionalisation,the surface properties of biomaterials such as physical morphologyand chemical composition can be tailored using *** is a powerful tool for improving the interactions betweenthe physiological environment and biomaterial ***,research on bio-inspired nanofunctionalised surfaceshas attracted much attention in recent *** review focus on the recent bio-inspired strategies based on the structureof the extracellular matrix(ECM)and composition of mussel-inspired polydopamine(PDA).The design,preparation,andproperties of ECM and PDA-inspired nanofunctionalised biomaterial surfaces are reviewed.l have also highlighted theeffects of these bio-inspired nanofunctionalised biomaterial surfaces on bone regeneration,cartilage repair,andantibacterial activities.

关键词： functional biomaterials surfaces

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