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G^0 and G^1 connection between two adjacent B-spline surfaces 被引量:1
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作者 MU Guowang ZANG Ting DAI Shijie 《Computer Aided Drafting,Design and Manufacturing》 2013年第1期53-57,共5页
In this paper, the smooth connection between two B-spline surfaces is discussed. First, a brief proof of some simple sufficient conditions of Go and G1 continuity is given. On this basis, a novel method for Go or G1 c... In this paper, the smooth connection between two B-spline surfaces is discussed. First, a brief proof of some simple sufficient conditions of Go and G1 continuity is given. On this basis, a novel method for Go or G1 connection between two adjacent B-spline surfaces is presented. A reparameterization step is firstly taken for one of the surfaces such that they have the same parameterization in v direction, then, adjust their boundary control vertices to make them Go or Gl connected. The GI connection parameter is determined by an optimization problem. Compared with the existed methods, our method is simple and easy to be used in practice. 展开更多
关键词 computer aided geometric design b-spline surface geometric continuity reparameterization OPTIMIZATION
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G^1 Continuity Conditions of B-spline Surfaces
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作者 车翔玖 梁学章 《Northeastern Mathematical Journal》 CSCD 2002年第4期343-352,共10页
According to the B-spline theory and Boehm algorithm, this paper presents several necessary and sufficient G1 continuity conditions between two adjacent B-spline surfaces. In order to meet the need of application, a k... According to the B-spline theory and Boehm algorithm, this paper presents several necessary and sufficient G1 continuity conditions between two adjacent B-spline surfaces. In order to meet the need of application, a kind of sufficient conditions of G1 continuity are developed, and a kind of sufficient conditions of G1 continuity among N(N>2) patch B-spline surfaces meeting at a common corner are given at the end. 展开更多
关键词 b-spline surface composite Bezier surface G1 continuity Boehm algorithm
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Fast B-spline surface extraction algorithm of seismic volume data on GPU
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作者 LIN Senqiao CHE Xiangjiu GUO Xiaoxin 《Computer Aided Drafting,Design and Manufacturing》 2013年第1期14-20,共7页
In the process of seismic data interpretation, the extraction of a horizon or a fault is generally needed. In this paper we present a fast extraction method. First select some feature points interactively, then recons... In the process of seismic data interpretation, the extraction of a horizon or a fault is generally needed. In this paper we present a fast extraction method. First select some feature points interactively, then reconstruct the surface according to the selected feature points by using B-spline interpolation curve or surface. In order to solve the error-drawing problem appeared in the process of interactive rendering, which is caused by the change of sampling interval as the view point changes, we combine shear-warp and splatting algorithm to render the surface. The rendering of seismic data and specific surface in our work are achieved on GPU platform using CUDA programming language, which make it able to meet the requirements of real-time rendering. 展开更多
关键词 volume rendering surface extraction b-spline surface reconstruction CUDA
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Modification of B-Spline Surfaces with Optimization 被引量:1
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作者 Mu Guowang Zhao Gang +1 位作者 Yan Guangrong Zhu Xinxiong (School of Mechanical Eng. & Auto., Beijing University of Aeronautics and Astronautics, Beijing 100083, China) Surface Modeling 《Computer Aided Drafting,Design and Manufacturing》 2000年第2期19-25,共7页
Algorithms of modifying a surface to approximate some scattered points, or pass through some characteristic points/curves are presented. Similar to variational approach, the algorithms are based on optimization. For t... Algorithms of modifying a surface to approximate some scattered points, or pass through some characteristic points/curves are presented. Similar to variational approach, the algorithms are based on optimization. For the deviation between the modified surface and the original one is adopted as the objective functions, the change of the surface shape is as small as possible with the modified surface satisfying the specified requirements. 展开更多
关键词 CAD b-spline surface OPTIMIZATION
全文增补中
Reconstruction of B-spline surface by interpolating boundary curves and approximating inner points 被引量:2
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作者 Mu Guowan and Dai Shijie 《Computer Aided Drafting,Design and Manufacturing》 2012年第1期31-34,共4页
In this paper, we present an algorithm for reconstruction of B-spline surface such that it interpolates the four given bound- ary curves and simultaneously approximates some given inner points. The main idea of our me... In this paper, we present an algorithm for reconstruction of B-spline surface such that it interpolates the four given bound- ary curves and simultaneously approximates some given inner points. The main idea of our method is: first, we construct an initial surface which interpolates the four given boundary curves; then, while keeping the boundary control points of the initial surface un- changed, we reposition the inner control points of the surface with energy optimization method. Examples show that our algorithm is practicable and effective. 展开更多
关键词 surface reconstruction b-spline INTERPOLATION APPROXIMATION optimization
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Geometric Calibration of LensUsing B-Spline Surface Fitting
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作者 Sun Xiao’an Chen Shuzhen Shen Qiang(College of Electronic Information. Wuhan University, Wuhan 430072, China) 《Wuhan University Journal of Natural Sciences》 CAS 1998年第4期440-442,共3页
A new lens calibration method which is suitable for all kinds of cameras is presented. Based on the global and local adjustable feature of B-spline surface, this method does not require the determination of distortion... A new lens calibration method which is suitable for all kinds of cameras is presented. Based on the global and local adjustable feature of B-spline surface, this method does not require the determination of distortion model of the camera lens. By applying B-spline surface fitting, all kinds of lens distortion models can be simulated. The control points of B-spline surface are estimated inversly from the feature points of detected lines. Then by moving the control points, straight line features in the image can be retrieved. Compared with traditional calibration method, this method has its unique advantage that need no corresponding points between image and scene. Experimental results show the effectiveness of the method. 展开更多
关键词 CALIBRATION DISTORTION surface fitting
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Modifying the shape of B-spline surface with geometric constraints
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作者 CHENG Si-yuan ZHAO Bin ZHANG Xiang-wei 《通讯和计算机(中英文版)》 2008年第9期29-34,共6页
关键词 几何 b-spline曲线 计算机辅助设计 设计方法 计算机技术
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An Algorithm of B-Spline Surface Interpolation
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作者 Ning Tao Tang Rongxi Sun Jiaguang 《Computer Aided Drafting,Design and Manufacturing》 1998年第2期38-42,共5页
A surface interpolation algorithm is presented. By using a special kind of knot vector. a B-spline surface can be constructed to interpolate an array of m ×n positions, including parameter u and v tangent vectors... A surface interpolation algorithm is presented. By using a special kind of knot vector. a B-spline surface can be constructed to interpolate an array of m ×n positions, including parameter u and v tangent vectors and twist vector at each positions. Single surface interpolation approach is easier to ensure the smoothness of the interpolating surface than multi-patches method. This algorithm can be used to solve the approximating problem of B-spline approximation of general parametric surface. 展开更多
关键词 b-spline surface modeling twist vector
全文增补中
G^1 Continuous Condition of B-Spline Surfaces with Double Knots 被引量:2
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作者 赵岩 施锡泉 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2005年第2期211-226,共16页
The conditions for G1 continuity between two adjacent bicubic B-spline surfaces with double interior knots along their common boundary curve are obtained in this paper, which are directly represented by the control po... The conditions for G1 continuity between two adjacent bicubic B-spline surfaces with double interior knots along their common boundary curve are obtained in this paper, which are directly represented by the control points of the two B-spline surfaces. As stated by Shi Xi-quan and Zhao Yan, a local scheme of constructing G1 continuous B-spline surface models with single interior knots does not exist; we may achieve a local scheme of (true) G1 continuity over an arbitrary B-spline surface network using these conditions. 展开更多
关键词 b-spline surface patches double knots geometric continuity.
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Symmetric alteration of four knots of B-spline and NURBS surfaces
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作者 LI Ya-juan WANG Guo-zhao 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2006年第6期1084-1087,共4页
Modifying the knots of a B-spline curve, the shape of the curve will be changed. In this paper, we present the effect of the symmetric alteration of four knots of the B-spline and the NURBS surfaces, i.e., symmetrical... Modifying the knots of a B-spline curve, the shape of the curve will be changed. In this paper, we present the effect of the symmetric alteration of four knots of the B-spline and the NURBS surfaces, i.e., symmetrical alteration of the knots of surface, the extended paths of points of the surface will converge to a point which should be expressed with several control points. This theory can be used in the constrained shape modification of B-spline and NURBS surfaces. 展开更多
关键词 b-spline surface NURBS surface Knot modification PATH
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Quasi-Developable B-Spline Surface Design with Control Rulings
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作者 Zi-Xuan Hu Peng-Bo Bo Cai-Ming Zhang 《Journal of Computer Science & Technology》 SCIE EI CSCD 2022年第5期1221-1238,共18页
We propose a method for generating a ruled B-spline surface fitting to a sequence of pre-defined ruling lines and the generated surface is required to be as-developable-as-possible.Specifically,the terminal ruling lin... We propose a method for generating a ruled B-spline surface fitting to a sequence of pre-defined ruling lines and the generated surface is required to be as-developable-as-possible.Specifically,the terminal ruling lines are treated as hard constraints.Different from existing methods that compute a quasi-developable surface from two boundary curves and cannot achieve explicit ruling control,our method controls ruling lines in an intuitive way and serves as an effective tool for computing quasi-developable surfaces from freely-designed rulings.We treat this problem from the point of view of numerical optimization and solve for surfaces meeting the distance error tolerance allowed in applications.The performance and the efficacy of the proposed method are demonstrated by the experiments on a variety of models including an application of the method for path planning in 5-axis computer numerical control(CNC)flank milling. 展开更多
关键词 developable surface surface modeling b-spline surface numerical optimization
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Computing B-Spline Surfaces on Transputer Networks
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作者 王健 《Journal of Southeast University(English Edition)》 EI CAS 1998年第2期78-80,共3页
This paper presents a parallel implementation of computing uniform bicubic B spline surfaces on Transputer networks. The work is essential for building Transputer based CAD and graphics systems.
关键词 B spline CURVES parallel processing surfaceS TRANSPUTER
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Approximate merging of B-spline curves and surfaces 被引量:2
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作者 CHEN Jun: WANG Guo-jin 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第4期429-436,共8页
Applying the distance function between two B-spline curves with respect to the L2 norm as the approximate error, we investigate the problem of approximate merging of two adjacent B-spline curves into one B-spline curv... Applying the distance function between two B-spline curves with respect to the L2 norm as the approximate error, we investigate the problem of approximate merging of two adjacent B-spline curves into one B-spline curve. Then this method can be easily extended to the approximate merging problem of multiple B-spline curves and of two adjacent surfaces. After minimizing the approximate error between curves or surfaces, the approximate merging problem can be transformed into equations solving. We express both the new control points and the precise error of approximation explicitly in matrix form. Based on homogeneous coordinates and quadratic programming, we also introduce a new framework for approximate merging of two adjacent NURBS curves. Finally, several numerical examples demonstrate the effectiveness and validity of the algorithm. 展开更多
关键词 Computer aided geometric design approximate merging b-spline curves and surfaces.
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Ship hull plate processing surface fairing with constraints based on B-spline 被引量:3
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作者 LIU Yu-jun ZHU Xiu-li JI Zhuo-shang 《Journal of Marine Science and Application》 2005年第3期13-17,共5页
The problem of ship hull plate processing surface fairing with constraints based on B-spline is solved in this paper. The algorithm for B-spline curve fairing with constraints is one of the most common methods in plan... The problem of ship hull plate processing surface fairing with constraints based on B-spline is solved in this paper. The algorithm for B-spline curve fairing with constraints is one of the most common methods in plane curve fairing. The algorithm can be applied to global and local curve fairing. It can constrain the perturbation range of the control points and the shape variation of the curve, and get a better fairing result in plane curves. In this paper, a new fairing algorithm with constraints for curves and surfaces in space is presented. Then this method is applied to the experiments of ship hull plate processing surface. Finally numerical results are obtained to show the efficiency of this method. 展开更多
关键词 b-spline curve fairing algorithm with constraints ship hull plate processing surface
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Influence of surface layer slurry temperature on surface cracks and holes of ZTC4 titanium alloy by investment casting 被引量:1
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作者 Wei-dong Li Xu-na Shi 《China Foundry》 2025年第1期90-98,共9页
In this work,the influences of surface layer slurry at different temperatures(10℃,14℃,18℃,22℃)on wax patterns deformation,shrinkage,slurry coating characteristics,and the surface quality of the casting were invest... In this work,the influences of surface layer slurry at different temperatures(10℃,14℃,18℃,22℃)on wax patterns deformation,shrinkage,slurry coating characteristics,and the surface quality of the casting were investigated by using a single factor variable method.The surface morphologies of the shell molds produced by different temperatures of the surface(first)layer slurries were observed via electron microscopy.Furthermore,the microscopic composition of these shell molds was obtained by EDS,and the osmotic effect of the slurry on the wax patterns at different temperatures was also assessed by the PZ-200 Contact Angle detector.The forming reasons for the surface cracks and holes of thick and large ZTC4 titanium alloy by investment casting were analyzed.The experimental results show that the surface of the shell molds prepared by the surface layer slurry with a low temperature exhibits noticeable damage,which is mainly due to the poor coating performance and the serious expansion and contraction of wax pattern at low temperatures.The second layer shell material(SiO_(2),Al_(2)O_(3))immerses into the crack area of the surface layer,contacts and reacts with the molten titanium to form surface cracks and holes in the castings.With the increase of the temperature of surface layer slurry,the damage to the shell surface tends to weaken,and the composition of the shell molds'surface becomes more uniform with less impurities.The results show that the surface layer slurry at 22℃is evenly coated on the surface of the wax patterns with appropriate thickness,and there is no surface shell mold rupture caused by sliding slurry after sand leaching.The surface layer slurry temperature is consistent with the wax pattern temperature and the workshop temperature,so there is no damage of the surface layer shell caused by expansion and contraction.Therefore,the shell mold prepared by the surface layer slurry at this temperature has good integrity,isolating the contact between the low inert shell material and the titanium liquid effectively,and the ZTC4 titanium alloy cylinder casting prepared by this shell mold is smooth,without cracks and holes. 展开更多
关键词 titanium alloy surface layer slurry surface cracks surface holes investment casting
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B-SPLINE SURFACE SMOOTH JOINING
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作者 Ning Tao Jing Ling Guan Zhidong Tang Rongxi 《Computer Aided Drafting,Design and Manufacturing》 1997年第1期13-21,共0页
Optimization techniques are being applied to solve the problems of surface interpolation, approximation, smooth joining and fairing, aiming at corresponding objective functions. This paper focuses on the construction ... Optimization techniques are being applied to solve the problems of surface interpolation, approximation, smooth joining and fairing, aiming at corresponding objective functions. This paper focuses on the construction of fair surface interpolating the given mesh of curved boundaries with G 2 adjustment at comers and G 1, G 2 smoothness between adjacent patches. Many papers on surface blending have been presented, but almost all of them are restricted to the discussion of Bezier patches, there are no good results for B-spline surface. This paper gives a solution to the B-spline surface, allowing the surface to degenerate at comer in and have different parameterization along the common boundary of two patches. 展开更多
关键词 optimization method surface joining geometric continuity b-spline surface
全文增补中
Research on the Hydrophobic Performance of Bamboo Surface Treated via Coordinated Plasma and PDMS Solution Treatments 被引量:1
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作者 Zihan Ma Yan Wu +2 位作者 Hongyan Wang Shaofei Yuan Jian Zhang 《Journal of Renewable Materials》 2025年第5期931-955,共25页
Herein,the surface of Moso bamboo was hydrophobically modified by combining O_(2)/N_(2)plasma treatments with polydimethylsiloxane(PDMS)solution treatment as the hydrophobic solution.The effects of plasma treatment pr... Herein,the surface of Moso bamboo was hydrophobically modified by combining O_(2)/N_(2)plasma treatments with polydimethylsiloxane(PDMS)solution treatment as the hydrophobic solution.The effects of plasma treatment process(power and time),PDMS solution concentration,and maceration time on the hydrophobic performance of bamboo specimens were studied,and the optimal treatment conditions for improving the hydrophobicity were determined.Scanning electron microscopy(SEM),fourier transform infrared(FTIR),X-ray diffraction(XRD),and X-ray photoelectron spectroscopy(XPS)were used to analyze the surface morphology,chemical structure,and functional groups in the specimens before and after the plasma and PDMS solution treatments under optimal conditions.Response surface analysis was also performed to determine the optimal treatment conditions.Results show that the hydrophobic performance of the Moso bamboo surface is effectively improved and the surface energy is reduced after the coordinated treatment.The optimal conditions for improving the hydrophobic performance of Moso bamboo surface are a treatment power of 800 W,treatment time of 15 s,O_(2)flow rate of 1.5 L/min,PDMS solution concentration of 5%,and maceration time of 60 min for O_(2)plasma treatment and a treatment power of 1000 W,treatment time of 15 s,N_(2)flow rate of 1.5 L/min,PDMS solution concentration of 5%,and maceration time of 60 min for N_(2)plasma treatment.After treatment,silicone oil particles and plasma etching traces are observed on the bamboo surface.Moreover,Si-O bonds in the PDMS solution are grafted to the bamboo surface via covalent bonds,thereby increasing the contact angle and decreasing the surface energy to achieve the hydrophobic effect. 展开更多
关键词 Moso bamboo PDMS MODIFICATION surface hydrophobicity
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Recent advancements in the design of micro/nanostructured superhydrophobic surfaces on magnesium alloys 被引量:1
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作者 Sihui Ouyang Fengyi Wang +4 位作者 Jia She Liying Qiao Ao Fu Xianhua Chen Fusheng Pan 《Journal of Magnesium and Alloys》 2025年第2期457-485,共29页
As one of the lightest engineering materials,magnesium(Mg)alloy possesses excellent mechanical performance,meeting the needs of versatile engineering fields and holding the potential to address cutting-edge issues in ... As one of the lightest engineering materials,magnesium(Mg)alloy possesses excellent mechanical performance,meeting the needs of versatile engineering fields and holding the potential to address cutting-edge issues in aerospace,electronics,biomedicine.The design of superhydrophobic(SHB)surfaces with micro and nanostructures can endow Mg alloys with multiple functionalities,such as self-cleaning,self-healing,antibacterial,and corrosion resistance.Over the past decade,researchers have drawn inspiration from nature to implement biomimetic design principles,resulting in the rapid development of micro/nanostructured SHB surfaces on Mg alloys,which hold great promise for biomedical applications.This review comprehensively introduces the biomimetic design principles of micro/nanostructured SHB surfaces on Mg alloys,discusses the challenges along with advantages and disadvantages of current preparation methods,and explores the future perspectives for preparing these SHB surfaces,providing strategies to enhance their performance in biomedical applications. 展开更多
关键词 Magnesium alloy Biomimetic design Superhydrophobic surface Biomedical application.
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Modeling the sensitivity of capacitive pressure sensors with microstructured wavy surfaces 被引量:1
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作者 Han Peng Nian Zhang +1 位作者 Hengxu Song Liu Wang 《Acta Mechanica Sinica》 2025年第5期104-116,共13页
In recent decades,capacitive pressure sensors(CPSs)with high sensitivity have demonstrated significant potential in applications such as medical monitoring,artificial intelligence,and soft robotics.Efforts to enhance ... In recent decades,capacitive pressure sensors(CPSs)with high sensitivity have demonstrated significant potential in applications such as medical monitoring,artificial intelligence,and soft robotics.Efforts to enhance this sensitivity have predominantly focused on material design and structural optimization,with surface microstructures such as wrinkles,pyramids,and micro-pillars proving effective.Although finite element modeling(FEM)has guided enhancements in CPS sensitivity across various surface designs,a theoretical understanding of sensitivity improvements remains underexplored.This paper employs sinusoidal wavy surfaces as a representative model to analytically elucidate the underlying mechanisms of sensitivity enhancement through contact mechanics.These theoretical insights are corroborated by FEM and experimental validations.Our findings underscore that optimizing material properties,such as Young’s modulus and relative permittivity,alongside adjustments in surface roughness and substrate thickness,can significantly elevate the sensitivity.The optimal performance is achieved when the amplitude-to-wavelength ratio(H/)is about 0.2.These results offer critical insights for designing ultrasensitive CPS devices,paving the way for advancements in sensor technology. 展开更多
关键词 Capacitive pressure sensor Sensitivity Micro-structured wavy surface
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Advances in magnesium-based bioresorbable cardiovascular stents: Surface engineering and clinical prospects 被引量:1
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作者 Ganesh Kumar Subham Preetam +5 位作者 Arunima Pandey Nick Birbilis Saad Al-Saadi Pooria Pasbakhsh Mikhail Zheludkevich Poovarasi Balan 《Journal of Magnesium and Alloys》 2025年第3期948-981,共34页
Magnesium(Mg)-based bioresorbable stents represent a potentially groundbreaking advancement in cardiovascular therapy;offering tem-porary vessel support and complete biodegradability—addressing limitations of traditi... Magnesium(Mg)-based bioresorbable stents represent a potentially groundbreaking advancement in cardiovascular therapy;offering tem-porary vessel support and complete biodegradability—addressing limitations of traditional stents like in-stent restenosis and long-term com-plications.However,challenges such as rapid corrosion and suboptimal endothelialisation have hindered their clinical adoption.This review highlights the latest breakthroughs in surface modification,alloying,and coating strategies to enhance the mechanical integrity,corrosion resistance,and biocompatibility of Mg-based stents.Key surface engineering techniques,including polymer and bioactive coatings,are ex-amined for their role in promoting endothelial healing and minimising inflammatory responses.Future directions are proposed,focusing on personalised stent designs to optimize efficacy and long-term outcomes,positioning Mg-based stents as a transformative solution in interventional cardiology. 展开更多
关键词 Magnesium alloy Cardiovascular stent surface modification Corrosion BIOCOMPATIBILITY Biomedical application
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