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Modeling of co- and post-seismic surface deformation and gravity changes of M W 6.9 Yushu, Qinghai,earthquake 被引量:5
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作者 Chengli Liu Bin Shan +2 位作者 Yong Zheng Ying Jiang Xiong Xiong 《Earthquake Science》 CSCD 2011年第2期177-183,共7页
Based on the elastic dislocation theory, multilayered crustal model, and rupture model obtained by seismic waveform inversion, we calculated the coand post-seismic surface deformation and gravity changes caused by the... Based on the elastic dislocation theory, multilayered crustal model, and rupture model obtained by seismic waveform inversion, we calculated the coand post-seismic surface deformation and gravity changes caused by the Yushu M W 6.9 earthquake occurred on April 14, 2010. The observed GPS velocity field and gravity field in Yushu areas are disturbed by the coand post-seismic effects induced by Yushu earthquake, thus the theoretical coand post-seismic deformation and gravity changes will provide important modification for the background tectonic movement of Yushu and surrounding regions. The time relaxation results show that the influences of Yushu earthquake on Yushu and surrounding areas will last as long as 30 to 50 years. The maximum horizontal displacement, vertical uplift and settlement are about 1.96, 0.27 and 0.16 m, respectively, the maximal positive and negative value of gravity changes are 8.892×10-7 m·s-2 and -4.861×10-7 m·s-2 , respectively. Significant spatial variations can be found on the coand post-seismic effects: The co-seismic effect mainly concentrates in the region near the rupture fault, while viscoelastic relaxation mostly acts on the far field. Therefore, when using the geodetic data to research tectonic motion, we should not only consider the effect of co-seismic caused by earthquake, but also pay attention to the effect of viscoelastic relaxation. 展开更多
关键词 Yushu earthquake viscoelastic relaxation surface deformation GRAVITY
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Reconstruction of surface deformation characteristics in alpine canyons under shadow conditions
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作者 GU Zhen-kui YAO Xin 《Journal of Mountain Science》 SCIE CSCD 2022年第11期3105-3117,共13页
Monitoring deformation in high undulating mountainous environments is critical for surface process research and disaster prevention studies. Although observations based on interferometric Synthetic Aperture Radar(InSA... Monitoring deformation in high undulating mountainous environments is critical for surface process research and disaster prevention studies. Although observations based on interferometric Synthetic Aperture Radar(InSAR) are an excellent tool for monitoring deformation, the shadow phenomena can limit its application. Based on a series of geomorphic parameters and limited InSAR observation data, surface deformations were reconstructed in areas with missing observations by constructing a random forest model to compensate for the shadow phenomenon at the grid-scale. The findings suggest that this method can be used to rebuild landscape variation characteristics in places where observation data is lacking. The dominant slope direction in the observation area corresponded to a more significant correlation between the reconstructed topography deformation characteristics and the observation. In addition, when building this model, consideration was given to the geomorphic parameter selection, elevation variation, hypsometric integral value, slope form, lithology, slope variation,and aspect variation;these parameters can significantly affect the surface deformation, which is closely related to their spatial autocorrelation. These findings are significant for eliminating the shadow phenomenon, which often occurs in In SAR observations taken over alpine canyon regions. The terrain and lithology of the underlying surface should be considered when reconstructing the surface deformation characteristics of the shadow region by using satellite observation data. 展开更多
关键词 Alpine canyon region surface deformation SHADOW INSAR Geomorphic parameter
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Numerical assessment of the influence of former mining activities and plasticity of rock mass on deformations of terrain surface 被引量:2
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作者 PawełSikora Marek Wesołowski 《International Journal of Mining Science and Technology》 SCIE EI CAS CSCD 2021年第2期209-214,共6页
This paper presents the results of numerical simulations carried out to confirm the influence of former mining activities on deformation of the mining terrain.The assessment of deformation changes was carried out with... This paper presents the results of numerical simulations carried out to confirm the influence of former mining activities on deformation of the mining terrain.The assessment of deformation changes was carried out with the use of FLAC3 D program based on the finite difference method.Numerical calculations were carried out for the example of actual mining operations in seams 703/1-2 and 707/2 of‘‘Marcel"Coal Mine.Taking into account the influence of the model’s plastic features and the so-called activation of a higher occurring seam in conducted simulations enabled obtaining a very good description of the measured subsidence.Based on the results one may state that numerical model can be used to assess the influence of former mining activities and the direction of conducted exploitation on deformations of the mining terrain.These factors are not recognized by geometric-integral theories commonly used for predicting the influence of mining operations on the surface.The results presented in this paper confirm that the applied method of simulating the phenomenon of reactivation of post-mining goafs is correct. 展开更多
关键词 Rock mass Numerical modeling Post-mining Goafs Land surface deformations
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Determination of convergence of underground gas storage caverns using non-invasive methodology based on land surface subsidence measurement
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作者 Rafal Misa Anton Sroka +2 位作者 Mateusz Dudek Krzysztof Tajdus Stefan Meyer 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2023年第8期1944-1950,共7页
Undergroundgas storage caverns aremonitoredfor environmental safety in termsof equipmentandpotential emissions,particularly methane emissions from the underground and above-ground parts of the storage facility.Periodi... Undergroundgas storage caverns aremonitoredfor environmental safety in termsof equipmentandpotential emissions,particularly methane emissions from the underground and above-ground parts of the storage facility.Periodical measurements of land surface deformations and costly echometric measurements of convergence of individual storage facilities are carried out.The aims of environmental monitoring are:(1)to eliminate potential hazards in the shortest time,(2)assess the overall impact of intensive operation of storage facilities on the environment,(3)developmonitoringmethods relevant to environmental protection,and(4)take actions in case of failure.The paper presents a solution to the problem of determination of the convergence of underground caverns in a salt rock mass based on the results of land surface subsidence measurements carried out using the Gauss-Markov equalization algorithm.Themethod makes it possible for ongoing control of cavern volume convergence after each subsidence measurement on the ground surface and determining the actual impact of the use frequency(injection-mediumconsumption)on the convergence in time.The presentedmethodology is universal and verified on caverns located in a salt rockmass.The Gauss-Markov inversion model is the first used in this area,hence its application is significant. 展开更多
关键词 Underground storage Salt cavern CONVERGENCE SUBSIDENCE surface deformation
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Noise reduction and periodic signal extraction for GNSS height data in the study of vertical deformation
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作者 Jingqi Wang Kaihua Ding +2 位作者 Heping Sun Geng Zhang Xiaodong Chen 《Geodesy and Geodynamics》 EI CSCD 2023年第6期573-581,共9页
Global navigation satellite system(GNSS)technique has irreplaceable advantages in the continuous monitoring of surface deformation.Reducing noise to improve the signal-to-noise ratio(SNR)and extract the concerned sign... Global navigation satellite system(GNSS)technique has irreplaceable advantages in the continuous monitoring of surface deformation.Reducing noise to improve the signal-to-noise ratio(SNR)and extract the concerned signals is of great significance.As an improved algorithm of empirical mode decomposition(EMD),complete ensemble empirical mode decomposition with adaptive noise(CEEMDAN)algorithm has better signal processing ability.Using the CEEMDAN algorithm,the height time series of 29GNSS stations in Chinese mainland were analyzed,and good denoising effects and extraction from periodic signals were achieved.The numerical results showed that the annual signal obtained with the CEEMDAN algorithm was significantly based on Lomb_Scargle spectrum analysis,and large differences in the long-term signals were found between the stations at different locations in Chinese mainland.With respect to data denoising,compared with the EMD and wavelet denoising algorithms,the CEEMDAN algorithm respectively improved the SNR by 29.35% and 36.54%,increased the correlation coefficient by 8.67% and 11.96%,and reduced root mean square error(RMSE)by 44.68% and 43.48%,indicating that the CEEMDAN algorithm had better denoising behavior than the other two algorithms.In addition,the results demonstrated that different denoising methods had little influence on estimating the annual vertical deformation velocity.The extraction of periodic signals showed that more components were retained by using the CEEMDAN algorithm than the EMD algorithm,which indicated that the CEEMDAN algorithm had advantages over frequency aliasing.In conclusion,the CEEMDAN algorithm was recommended for processing the GNSS height time series to analyze the vertical deformation due to its excellent features of denoising and the extraction of periodic signals. 展开更多
关键词 Vertical surface deformation GNSS height time series CEEMDAN DENOISING Periodic signal extraction
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Deformations of surface and rock mass in salt mines of Southern Poland 被引量:2
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作者 J .Szewczyk G. Kortas 《中国有色金属学会会刊:英文版》 CSCD 2005年第S1期310-314,共5页
关键词 ROCK deformations of surface and rock mass in salt mines of Southern Poland
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Atomistic simulations of the surface severe plastic deformation-induced grain refinement in polycrystalline magnesium:The effect of processing parameters
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作者 Xiaoye Zhou Hui Fu +1 位作者 Ji-Hua Zhu Xu-Sheng Yang 《Journal of Magnesium and Alloys》 SCIE EI CAS CSCD 2022年第5期1242-1255,共14页
Magnesium(Mg)based alloys are promising candidates for many applications,but their untreated surfaces usually have low strength and hardness.In this study,a single point diamond turning(SPDT)technique was applied to r... Magnesium(Mg)based alloys are promising candidates for many applications,but their untreated surfaces usually have low strength and hardness.In this study,a single point diamond turning(SPDT)technique was applied to refine the grain size and improve the mechanical properties of the surface layers of Mg-Li alloys.By refining grains in the topmost layer to the nanometer scale(~60 nm),the surface hardness was found to be enhanced by approximately 60%.The atomic plastic deformation process during the SPDT was then studied by the real-time atomistic molecular dynamics(MD)simulations.A series of MD simulations with different combinations of parameters,including rake angle,cutting speed and cutting depth,were conducted to understand their influences on the microstructural evolution and associated plastic deformation mechanisms on the surface layer of the workpieces.The MD simulation results suggest that using increased rake angle,cutting speed and cutting depth can help to achieve better grain refinement.These simulation results,which provide atomic-level details of the deformation mechanism,can assist the parameter design for the SPDT techniques to achieve the high-performance heterogeneous nanostructured materials. 展开更多
关键词 Mg alloy Grain refinement surface severe plastic deformation MD simulations
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A comprehensive review on the processing-property relationships of laser strengthened magnesium
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作者 Alessandro M.Ralls Aaksheta Agnel Pradeep L.Menezes 《Journal of Magnesium and Alloys》 SCIE EI CAS CSCD 2024年第1期1-34,共34页
Among the existing series of softer metals,magnesium(Mg)has attracted much attention due to its impressive strength-to-weight ratio.However,due to its ease of deformability,Mg tends to suffer from rapid degradation in... Among the existing series of softer metals,magnesium(Mg)has attracted much attention due to its impressive strength-to-weight ratio.However,due to its ease of deformability,Mg tends to suffer from rapid degradation in a wide variety of abrasive and electrochemical environments.One method of improving its surface properties is through surface modification techniques.Among the existing techniques,laser shock peening(LSP)has been one of the most widely utilized processes due to its surface-hardening-like effects.Despite this understanding,a comprehensive review has yet to exist that encapsulates the strengthening mechanism of LSP for Mg and its influence in degradation environments.This review aims to encapsulate the existing research around the LSP field for Mg.Specifically,an understanding of the surface-strengthening effects in relation to its mechanical,tribological,corrosion,and tribo-corrosion characteristics is elucidated.Additionally,the feasibility of LSP for Mg materials in critical industries is also discussed.Through this work,a novel understanding of LSP for Mg can be understood,which can provide a future direction for research in this field. 展开更多
关键词 Laser shock peening MAGNESIUM surface deformation TRIBOLOGY Microstructure
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Rainfall-triggered waste dump instability analysis based on surface 3D deformation in physical model test
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作者 LI Hanlin JIN Xiaoguang +2 位作者 HE Jie XUE Yunchuan YANG Zhongping 《Journal of Mountain Science》 SCIE 2024年第5期1549-1563,共15页
Landslide is the second largest natural disaster after earthquake. It is of significance to study the evolution laws and failure mechanism of landslides based on its surface 3D deformation information. Based on the ra... Landslide is the second largest natural disaster after earthquake. It is of significance to study the evolution laws and failure mechanism of landslides based on its surface 3D deformation information. Based on the rainfall-triggered waste dump instability model test, we studied the failure mechanisms of the waste dump by integrating surface deformation and internal slope stress and proposed novel parameters for identifying landslide stability. We developed a noncontact measurement device, which can obtain millimeter-level 3D deformation data for surface scene in physical model test;Then we developed the similar materials and established a test model for a waste dump. Based on the failure characteristics of slope surface, internal stress of slope body and displacement contours during the whole process, we divided the slope instability process in model test into four stages: rainfall infiltration and surface erosion, shallow sliding, deep sliding, and overall instability. Based on the obtained surface deformation data, we calculated the volume change during slope instability process and compared it with the point displacement on slope surface. The results showed that the volume change can not only reflect the slow-ultra acceleration process of slope failure, but also fully reflect the above four stages and reduce the fluctuations caused by random factors. Finally, this paper proposed two stability identification parameters: the volume change rate above the slip surface and the relative velocity of volume change rate. According to the calculation of these two parameters in model test, they can be used for study the deformation and failure mechanism of slope stability. 展开更多
关键词 Waste dump stability Physical model test surface 3D deformation Stability identification
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Development and Deformation Characteristics of Large Ancient Landslides in the Intensely Hazardous Xiongba-Sela Section of the Jinsha River, Eastern Tibetan Plateau, China
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作者 Yiqiu Yan Changbao Guo +3 位作者 Yanan Zhang Zhendong Qiu Caihong Li Xue Li 《Journal of Earth Science》 SCIE CAS 2024年第3期980-997,共18页
The upstream Jinsha River,located in the eastern Tibetan Plateau,has been experiencing intense geological hazards characterized by a high density of ancient landslides,significant deformation and reactivation challeng... The upstream Jinsha River,located in the eastern Tibetan Plateau,has been experiencing intense geological hazards characterized by a high density of ancient landslides,significant deformation and reactivation challenges.In this study,remote sensing interpretation,field investigations,and Small Baseline Subset Interferometric Synthetic Aperture Radar(SBAS-InSAR)technologies have been employed.Along a 17 km stretch of the Jinsha River,specifically in the Xiongba-Sela segment,16 large-scale ancient landslides were identified,9 of which are currently undergoing creeping deformation.Notably,the Sela and Xiongba ancient landslides exhibit significant deformation,with a maximum deformation rate of-192 mm/yr,indicating a high level of sliding activity.The volume of the Sela ancient landslide is estimated to be 1.8×108 to 4.5×108 m3,and characterized by extensive fissures and long-term creeping deformation.The SBAS-InSAR results revealed significant spatial variations in the deformation of the Sela ancient landslide,generally displaying two secondary zones of intense deformation,and landslide deformation exhibits nonlinear behavior with time.Between January 2016 and February 2022,Zone III1 on the southwest side of the Sela ancient landslide,experienced a maximum cumulative deformation of-857 mm,with a maximum deformation rate of-108 mm/yr.Zone III2,on the northeast side of the Sela ancient landslide,the maximum cumulative deformation was-456 mm,with a maximum deformation rate of-74 mm/yr;among these,the H2 and H4 secondary bodies on the south side of III1 are in the accelerative deformation stage and at the Warn warning level.We propose that the large-scale flood and debris flow disasters triggered by the Baige landslide-dammed lake-dam broken disaster chain in Tibetan Plateau during October and November 2018 caused severe erosion at the foot of downstream slopes.This far-field triggering effect accelerated the creep of the downstream ancient landslides.Consequently,the deformation rate of Zone III2 of the Sela ancient landslide increased by 6 to 8 times,exhibiting traction-type style reactivation.This heightened activity raises concerns about the potential for large-scale or overall reactivation of the landslide,posing a risk of damming the Jinsha River and initiating a dam-break disaster chain.Our research on the reactivation characteristics and mechanisms of large ancient landslides in high deep-cut valleys provides valuable guidance for geological hazard investigation and risk prevention. 展开更多
关键词 Jinsha River SBAS-InSAR landslides surface deformation disasters.
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Generalized boundary dilatation flux on a flexible wall 被引量:1
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作者 Tao Chen Tianshu Liu 《Theoretical & Applied Mechanics Letters》 CAS CSCD 2022年第6期445-450,共6页
In this paper,by applying theoretical method to the governing equations of compressible viscous flow,we derive the theoretical formula of the boundary dilatation flux(BDF)on a flexible wall,which generalizes the most ... In this paper,by applying theoretical method to the governing equations of compressible viscous flow,we derive the theoretical formula of the boundary dilatation flux(BDF)on a flexible wall,which generalizes the most recent work of Mao et al.(Acta Mechanica Sinica 38(2022)321583)for a stationary wall.Different boundary sources of dilatation are explicitly identified,revealing not only the boundary generation mechanisms of vortex sound and entropy sound,but also some additional sources due to the surface vorticity,surface angular velocity,surface acceleration and surface curvature.In particular,the generation mechanism of dilatation at boundary due to the coupled divergence terms is highlighted,namely,the product of the surface velocity divergence(▽_(■B)·U)and the vorticity-induced skin friction divergence(V_(■B)·τ_(ω)).The former is attributed to the surface flexibility while the latter characterizes the footprints of near-wall coherent structures.Therefore,by properly designing the surface velocity distribution,the dilatation generation at the boundary could be controlled for practical purpose in near-wall compressible viscous flows. 展开更多
关键词 Boundary dilatation flux surface deformation Boundary vorticity dynamics Near-wall flow
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Post-seismic relaxation from geodetic and seismic data 被引量:1
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作者 Mikhail V.Rodkin Vladimir I.Kaftan 《Geodesy and Geodynamics》 2017年第1期13-16,共4页
We have examined the aftershock sequence and the post-seismic deformation process of the Parkfield earthquake(2004,M=6,California,USA) source area using GPS data.This event was chosen because of the possibility of joi... We have examined the aftershock sequence and the post-seismic deformation process of the Parkfield earthquake(2004,M=6,California,USA) source area using GPS data.This event was chosen because of the possibility of joint analysis of data from the rather dense local GPS network(from SOPAC Internet archive) and of the availability of the rather detailed aftershock sequence data(http://www.ncedc.org/ncedc/catalog-search.html).The relaxation process of post-seismic deformation prolongs about the same 400 days as the seismic aftershock process does.Thus,the aftershock process and the relaxation process in deformation could be the different sides of the same process.It should be noted that the ratio of the released seismic energy and of the GPS obtained deformation is quite different for the main shock and for the aftershock stage.The ratio of the released seismic energy to the deformation value decreases essentially for the post-shock process.The similar change in the seismic energy/deformation value ratio is valid in a few other strong earthquakes.Thus,this decrease seems typical of aftershock sequences testifying for decrease of ratio of elastic to inelastic deformation in the process of post-shock relaxation when the source area appears to be mostly fractured after the main shock occurs,but the healing process had no yet sufficient time to develop. 展开更多
关键词 Post-seismic relaxation Earth’s surface deformation GPS post-shock fracturing
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Error evaluation of binocular vision method for reconstructing breaking wave surface
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作者 Qian Wang Hao-cheng Lu +1 位作者 Chang-ze Zhao Hua Liu 《Journal of Hydrodynamics》 SCIE EI CSCD 2022年第5期970-974,共5页
Quantization error and its source of the binocular stereo vision technique are evaluated by measuring breaking wave surface in wave flume.The verification test focuses on the run-up process of a breaking solitary wave... Quantization error and its source of the binocular stereo vision technique are evaluated by measuring breaking wave surface in wave flume.The verification test focuses on the run-up process of a breaking solitary wave on a slope.The three-dimensional topography of the free surface is reconstructed at three representative stages of wave propagation.The two-dimensional profile from the side view and statistical data are used to evaluate the quantization error.The breaking degree of wave surface has a mild influence on the performance of stereo reconstruction in the current configuration.The mean error of detecting the surface elevation is about 2 mm,around 0.1%of the measurement distance.Sixty percent of the error comes from the deficient match in image interrogation,and the remaining forty percent arises from the limited system configuration.The precise stereo measurement of the breaking surface shows that the present binocular vision system provides a new technique in experiments in hydrodynamics with the breaking surface. 展开更多
关键词 Binocular stereo reconstruction surface deformation breaking wave image processing
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Biomaterial types,properties,medical applications,and other factors:a recent review 被引量:1
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作者 Reeya AGRAWAL Anjan KUMAR +1 位作者 Mustafa K.A.MOHAMMED Sangeeta SINGH 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CSCD 2023年第11期1027-1042,共16页
Biomaterial research has been going on for several years,and many companies are heavily investing in new product development.However,it is a contentious field of science.Biomaterial science is a field that combines ma... Biomaterial research has been going on for several years,and many companies are heavily investing in new product development.However,it is a contentious field of science.Biomaterial science is a field that combines materials science and medicine.The replacement or restoration of damaged tissues or organs enhances the patient’s quality of life.The deciding aspect is whether or not the body will accept a biomaterial.A biomaterial used for an implant must possess certain qualities to survive a long time.When a biomaterial is used for an implant,it must have specific properties to be long-lasting.A variety of materials are used in biomedical applications.They are widely used today and can be used individually or in combination.This review will aid researchers in the selection and assessment of biomaterials.Before using a biomaterial,its mechanical and physical properties should be considered.Recent biomaterials have a structure that closely resembles that of tissue.Antiinfective biomaterials and surfaces are being developed using advanced antifouling,bactericidal,and antibiofilm technologies.This review tries to cover critical features of biomaterials needed for tissue engineering,such as bioactivity,self-assembly,structural hierarchy,applications,heart valves,skin repair,bio-design,essential ideas in biomaterials,bioactive biomaterials,bioresorbable biomaterials,biomaterials in medical practice,biomedical function for design,biomaterial properties such as biocompatibility,heat response,non-toxicity,mechanical properties,physical properties,wear,and corrosion,as well as biomaterial properties such surfaces that are antibacterial,nanostructured materials,and biofilm disrupting compounds,are all being investigated.It is technically possible to stop the spread of implant infection. 展开更多
关键词 surface severe plastic deformation(SSPD) Hyaluronan(HA) Extracellular matrix(ECM) Polyvinylchloride(PVC) Tissue engineering(TE)
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Centrifuge experiments for shallow tunnels at active reverse fault intersection 被引量:2
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作者 Mehdi SABAGH Abbas GHALANDARZADEH 《Frontiers of Structural and Civil Engineering》 SCIE EI CSCD 2020年第3期731-745,共15页
Tunnels extend in large stretches with continuous lengths of up to hundreds of kilometers which are vulnerable to faulting in earthquake-prone areas.Assessing the interaction of soil and tunnel at an intersection with... Tunnels extend in large stretches with continuous lengths of up to hundreds of kilometers which are vulnerable to faulting in earthquake-prone areas.Assessing the interaction of soil and tunnel at an intersection with an active fault during an earthquake can be a beneficial guideline for tunnel design engineers.Here,a series of 4 centrifuge tests are planned and tested on continuous tunnels.Dip-slip suface faulting in reverse mechanism of 60°is modeled by a fault simulator box in a quasi-static manner.Failure mechanism,progression and locations of damages to the tunnels are assessed through a gradual increase in Permanent Ground Displacement(PGD).The ground surface deformations and strains,fault surface trace,fault scarp and the sinkhole caused by fault movement are observed here.These ground surface deformations are major threats to stability,safety and serviceability of the structures.According to the observations,the modeled tunnels are vulnerable to reverse fault rupture and but the functionality loss is not abrupt,and the tunnel will be able to tolerate some fault displacements.By monitoring the progress of damage states by increasing PGD,the fragility curves corresponding to each damage state were plotted and interpreted in related figures. 展开更多
关键词 reverse fault rupture continuous tunnel geotechnical centrifuge ground surface deformations fragility curves
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Scale-aware shape manipulation
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作者 Zheng LIU Wei-ming WANG +1 位作者 Xiu-ping LIU Li-gang LIU 《Journal of Zhejiang University-Science C(Computers and Electronics)》 SCIE EI 2014年第9期764-775,共12页
A novel representation of a triangular mesh surface using a set of scale-invariant measures is proposed.The measures consist of angles of the triangles(triangle angles) and dihedral angles along the edges(edge angles)... A novel representation of a triangular mesh surface using a set of scale-invariant measures is proposed.The measures consist of angles of the triangles(triangle angles) and dihedral angles along the edges(edge angles)which are scale and rigidity independent. The vertex coordinates for a mesh give its scale-invariant measures, unique up to scale, rotation, and translation. Based on the representation of mesh using scale-invariant measures, a two-step iterative deformation algorithm is proposed, which can arbitrarily edit the mesh through simple handles interaction.The algorithm can explicitly preserve the local geometric details as much as possible in different scales even under severe editing operations including rotation, scaling, and shearing. The efficiency and robustness of the proposed algorithm are demonstrated by examples. 展开更多
关键词 Differential coordinates Scale-invariant measures surface deformation
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