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Pfaffian Property and Planarity of Cayley Graphs on Dicyclic Groups
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作者 TANG Lang LIU Weijun LU Rongrong 《数学理论与应用》 2025年第3期53-65,共13页
The Pfaffian property of graphs is of fundamental importance in graph theory,as it precisely characterizes those graphs for which the number of perfect matchings can be computed in polynomial time with respect to the ... The Pfaffian property of graphs is of fundamental importance in graph theory,as it precisely characterizes those graphs for which the number of perfect matchings can be computed in polynomial time with respect to the number of edges.The study of Pfaffian graphs originated from the enumeration of perfect matching in planar graphs.References[5,6,8]demonstrated that every planar graph is Pfaffian.Therefore,the Pfaffian property and planarity of graphs play a vital role in modern matching theory.This paper contributes a complete characterization of the Pfaffian property and planarity of connected Cayley graphs over the dicyclic group T_(4n) of order 4n(n≥3),shows that the Cayley graph Cay(T_(4n),S)is Pfaffian if and only if n is odd and S={a^(k_(1)),a^(2n−k_(1)),ba^(k_(2)),ba^(n+k_(2))},where 1≤k_(1)≤n−1,0≤k_(2)≤n−1 and(k_(1),n)=1,and furthermore,shows that Cay(T4n,S)is never planar. 展开更多
关键词 Cayley graph Dicyclic group Pfaffian property planarity
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Analysis of the Effect of Nonplanarity on Ground Deformation
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作者 Piu Kundu 《Journal of Building Material Science》 2025年第4期84-111,共28页
The movement of interacting faults within the Earth’s crust during earthquakes may cause significant structural damage.Large earthquake fault surfaces are often planar or a combination of several planar fault segment... The movement of interacting faults within the Earth’s crust during earthquakes may cause significant structural damage.Large earthquake fault surfaces are often planar or a combination of several planar fault segments.This study analyses the interaction between a non-planar and a planar fault,where the faults are inclined,buried,creeping and strike-slip in nature.The non-planar fault is infinite and formed by two interconnected planar segments,while the planar fault is finite.The present analysis adduces the movement of interacting faults in a composite structure comprised of an elastic layer nested on a visco-elastic substrate of Maxwell medium.The significant effect of various affecting parameters viz.inclination of the faults,velocity of the fault movement,depth of the faults from the free surface,distance between the faults and the non-planarity of the fault has been discussed and also compared.The amount of stress and surface shear strain is restored after the creeping movement.The graphical representation of the effect of non-planarity of the fault on stress-strain accumulation has been established.Analytical solutions are obtained using Laplace transform and Green’s function techniques,supported by numerical simulations.The obtained results provide insights into fault interaction process and have important implications for assessing seismic hazard potential in viscoelastic media.The study of such earthquake fault dynamical models may give some ideas about the nature of stress-strain accumulation or release in the system and help us to observe the mechanism of lithosphere-asthenosphere boundary. 展开更多
关键词 Interaction Between Nonplanar and Planar Fault Creeping Movement Aseismic Period Integral Transform Green’s Function Technique
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Benzothiadiazole-based hole transport materials for high-efficiency dopant-free perovskite solar cells: Molecular planarity effect 被引量:3
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作者 Xiang Zhou Fantai Kong +3 位作者 Yuan Sun Yin Huang Xianxi Zhang Rahim Ghadari 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2020年第5期115-120,共6页
A new benzothiadiazole-based D-A-D hole transport material(DTBT)has been designed and synthesized with a more planar structure by introducing of thiophene bridges.The results indicate a lower band gap and quite higher... A new benzothiadiazole-based D-A-D hole transport material(DTBT)has been designed and synthesized with a more planar structure by introducing of thiophene bridges.The results indicate a lower band gap and quite higher hole mobility for the DTBT.Furthermore,the enhancement in molecular planarity with simple thiophene unit increases the hole mobility of DTBT(8.77×10^-4cm^2 V^-1s^-1)by about 40%.And when DTBT is used as hole transport material in perovskite solar cells,the photoelectric conversion efficiency of the corresponding dopant-free devices is also significantly improved compared with that of the conventional BT model molecule without thiophene.In terms of device stability,DTBT-based devices show a favorable long-term stability,which keep 83%initial efficiency after 15 days.Therefore,the introducing of thiophene bridges in D-A-D typed HTMs can improve the molecular planarity effectively,thereby increasing the hole mobility and improving device performance. 展开更多
关键词 HOLE transport materials planarity PEROVSKITE Solar cells
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Effects of the planarity and heterogeneity of networks on evolutionary two-player games 被引量:1
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作者 Xu-Sheng Liu Zhi-Xi Wu Jian-Yue Guan 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第12期164-171,共8页
We study the effects of the planarity and heterogeneity of networks on evolutionary two-player symmetric games by considering four different kinds of networks, including two types of heterogeneous networks: the weight... We study the effects of the planarity and heterogeneity of networks on evolutionary two-player symmetric games by considering four different kinds of networks, including two types of heterogeneous networks: the weighted planar stochastic lattice(a planar scale-free network) and the random uncorrelated scale-free network with the same degree distribution as the weighted planar stochastic lattice; and two types of homogeneous networks: the hexagonal lattice and the random regular network with the same degree k_0= 6 as the hexagonal lattice. Using extensive computer simulations, we found that both the planarity and heterogeneity of the network have a significant influence on the evolution of cooperation, either promotion or inhibition, depending not only on the specific kind of game(the Harmony, Snowdrift, Stag Hunt or Prisoner's Dilemma games), but also on the update rule(the Fermi, replicator or unconditional imitation rules). 展开更多
关键词 evolutionary two-player games planarity HETEROGENEITY
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Cationic Conjugated Polymers with Enhanced Doped-State Planarity for n-Type Organic Thermoelectrics 被引量:1
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作者 Jiu-Long Li Xin-Yu Deng +5 位作者 Jupeng Chen Peng-Xiang Fu Shuang-Yan Tian Yunfei Wang Xiaodan Gu Ting Lei 《CCS Chemistry》 2025年第5期1449-1458,共10页
To date,extensive efforts have been devoted to designing new conjugated polymers with long alkyl or ethylene glycol sidechains.However,these sidechains are insulators,limiting further performance enhancement in doped ... To date,extensive efforts have been devoted to designing new conjugated polymers with long alkyl or ethylene glycol sidechains.However,these sidechains are insulators,limiting further performance enhancement in doped conjugated polymers.Moreover,the most widely used chlorinated solvents are toxic,limiting the practical applications of many conjugated polymers.Here,we report a water/alcohol processable n-type conjugated polymer P(Py2FT),featuring side chain-free cationic backbones.P(Py2FT)exhibits a high n-type electrical conductivity of up to 28.1 S cm^(−1)and a high thermoelectric power factor of up to 28.7μWm^(−1)K^(−2),comparable to some conventional n-type conjugated polymers reported recently.More importantly,cationic polymers display tight molecular packings and interesting enhanced backbone planarity after n-doping,which,we envision,provides a new research direction to address the sidechain issue in conventional conjugated polymers.Our work demonstrates that sidechain-free cationic polymers have great potential for green-solvent-processed heavily doped organic electronics. 展开更多
关键词 cationic polymers organic thermoelectrics N-DOPING backbone planarity charge transport
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Modulating planarity of cyanine dye to construct highly stable Haggregates for enhanced photothermal therapy 被引量:3
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作者 Kai Wei Yanxin Wu +3 位作者 Pengyu Li Xian Zheng Chendong Ji Meizhen Yin 《Nano Research》 SCIE EI CSCD 2023年第1期970-979,共10页
Self-assembly of dyes has become a flexible strategy to modulate their photophysical properties.H-aggregates show great potential to increase heat generation,while the precise designing of H-aggregates as efficient ph... Self-assembly of dyes has become a flexible strategy to modulate their photophysical properties.H-aggregates show great potential to increase heat generation,while the precise designing of H-aggregates as efficient photothermal agents is still challenging.Herein,a quinoline cyanine(QCy)is developed for constructing stable H-aggregated nanoparticles(NPs)to significantly enhance photostability and photothermal conversion efficiency(PCE).With symmetrical rigid planar quinoline structures,QCy has a small and symmetrical dihedral angle(11.9°),which ensures excellent molecular planarity.In aqueous solution,the planar QCy can form closeπ–πmolecular stacking,and fast self-assemble into stable H-aggregates even at low concentrations(1×10−7 M).QCy H-aggregates are sphere-like NPs(QCy NPs)with an average diameter of 120 nm and exhibit high stability.H-aggregation of QCy significantly enhances PCE from 20.1%(non-H-aggregated QCy)to 63.8%(QCy NPs).In addition,the positive charge of quaternarized quinoline provides mitochondrial anchoring ability,which further enhances the photothermal effect.With high PCE and tumor accumulation,QCy NPs in low-doses have been successfully used in photoacoustic imaging-guided tumor photothermal therapy. 展开更多
关键词 H-aggregation-enhanced photothermal effect molecular planarity quinoline cyanine mitochondrial anchoring LOW-DOSE
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Dummy fill effect on CMP planarity
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作者 周隽雄 陈岚 +3 位作者 阮文彪 李志刚 沈伟翔 叶甜春 《Journal of Semiconductors》 EI CAS CSCD 北大核心 2010年第10期135-138,共4页
With the use of a chemical-mechanical polishing (CMP) simulator verified by testing data from a foundry, the effect of dummy fill characteristics, such as fill size, fill density and fill shape, on CMP planarity is ... With the use of a chemical-mechanical polishing (CMP) simulator verified by testing data from a foundry, the effect of dummy fill characteristics, such as fill size, fill density and fill shape, on CMP planarity is analyzed. The results indicate that dummy density has a significant impact on oxide erosion, and copper dishing is in proportion to dummy size. We also demonstrate that cross shape dummy fill can have the best dishing performance at the same density. 展开更多
关键词 chemical mechanical polishing dummy fill DISHING EROSION planarity
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Jinlin crater,Guangdong Province,China:Impact origin confirmed
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作者 Ming Chen Dayong Tan +4 位作者 Wenge Yang Ho-Kwang Mao Xiande Xie Feng Yin Jinfu Shu 《Matter and Radiation at Extremes》 2026年第1期1-5,共5页
The newly identified Jinlin crater in southern China lies on a hillside covered by a thick granite weathering crust.It appears as a slightly elliptical bowl-shaped depression with a diameter of 820-900 m.The structure... The newly identified Jinlin crater in southern China lies on a hillside covered by a thick granite weathering crust.It appears as a slightly elliptical bowl-shaped depression with a diameter of 820-900 m.The structure is a tilted impact crater,showing a maximum rim height difference of about 200 m and an apparent depth of 90 m.The crater rim is composed mainly of granite weathered soil and a small amount of granite fragments,while the bottom of the crater is filled with the same mixture of granite weathered soil and granite fragments.Planar deformation features in quartz grains from the rock fragments of the crater provide decisive evidence for its impact origin.The impact event is inferred to have taken place during the Holocene. 展开更多
关键词 tilted impact cratershowing jinlin crater impact crater planar deformation features GRANITE China HOLOCENE
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Suppressing planar gliding and cation migration in O3-type layered oxide cathode for long-life and wide-temperature sodium-ion batteries
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作者 Peng Yu Nini Liu +10 位作者 Yizhong Gou Daomin Qin Wen Zhang Lihua Feng Yameng Fan Yu Wang Changhong Wang Jiantao Han Yunhui Huang Jian Peng Chun Fang 《Journal of Energy Chemistry》 2026年第2期789-799,I0017,共12页
Sodium layered oxides stand out as one of the most promising cathodes for sodium-ion batteries due to their high energy density,elemental abundance,and scalability.However,their practical applications are restricted b... Sodium layered oxides stand out as one of the most promising cathodes for sodium-ion batteries due to their high energy density,elemental abundance,and scalability.However,their practical applications are restricted by interplanar gliding,cation migration,and the formation of intragranular microcracks,which collectively lead to rapid structural degradation and capacity loss.Herein,we rationally design an ultrastable O3-type Na_(0.94)Ca_(0.03)Ni_(1/3)Fe_(1/3)Mn_(1/3)O_(2) cathode,in which Ca^(2+)cations act as pillars within the NaO_(2)slabs,suppressing the irreversible phase transitions and Na/TM cation migration commonly observed in layered oxides.Multiscale in situ and ex situ techniques,combined with post-mortem analysis,reveal that the Ca-pillared pinning effect not only effectively suppresses the interplanar gliding and stress accumulation within the crystal phase but also restrains Na/TM cation migration and surface reconstruction in near-surface regions.Benefiting from the combined effects of structural stabilization,the Ca-pillared cathode exhibits a superior cycling stability,retaining 81.6%of its capacity after 1000 cycles at 2 C within the voltage range of 2.0-4.0 V,along with significantly enhanced wide-temperature(from-40 to 80℃)performance.This work highlights another critical role of Ca pillars in suppressing cation migration and surface structural degradation beyond preventing adverse interplanar gliding,offering valuable insights for designing long-life and wide-temperature layered oxide cathodes. 展开更多
关键词 Layered oxide cathodes Pinning effect Planar gliding Cation migration Sodium-ion batteries
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The Injective Chromatic Index of Planar Graphs with Maximum Degree 4
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作者 Yuliang ZHAO Lianying MIAO Shanshan ZHANG 《Journal of Mathematical Research with Applications》 2026年第2期153-163,共11页
An injective k-edge coloring of a graph G is k-edge coloringκof G such thatκ(e1)≠κ(e3)for any three consecutive edges ei,e2 and e3 of a path or a triangle.The injective chromatic index of G,denoted by x'i(G),i... An injective k-edge coloring of a graph G is k-edge coloringκof G such thatκ(e1)≠κ(e3)for any three consecutive edges ei,e2 and e3 of a path or a triangle.The injective chromatic index of G,denoted by x'i(G),is the smallest integer k such that G has an injective k-edge coloring.In this paper,we prove that x'i(G)≤9 if G is a planar graph with maximum degreeΔ≤4,girth g≥6 and without intersecting 6-cycles. 展开更多
关键词 njective edge coloring planar graph maximum degree GIRTH
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Rational design of planar lamellar energetic crystals via intermolecular interaction engineering: Synergistic mechanisms for balancing energy and safety
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作者 Rupeng Bu 《Defence Technology(防务技术)》 2026年第3期280-299,共20页
Energetic materials face critical challenges in balancing energy density and safety,driving the development of low-sensitivity high-energy materials.Though vital for modern defense and civilian applications,low-sensit... Energetic materials face critical challenges in balancing energy density and safety,driving the development of low-sensitivity high-energy materials.Though vital for modern defense and civilian applications,low-sensitivity high-energy materials remain scarce,with 1,3,5-trinitro-2,4,6-triaminobenzene as the only deployed example.Planar lamellar energetic crystals,which utilize weak interlamellarπ-πstacking for mechanical energy dissipation,have shown significant promise.However,their rational design is constrained by insufficient understanding of intermolecular interaction synergy.This review synthesizes the structural features of planar lamellar energetic crystals,emphasizing three core elements:the single-atomic-thickness planar stacking architecture,the"strong intralamellar and weak interlamellar interaction"paradigm(key to balancing energy density and safety for low-sensitivity high-energy materials,LSHEMs),and the role of molecular planarity in reducing shear slip barriers.It categorizes design strategies into two frameworks:H–bonding dominated(single-component:cross-shaped assembly,strong H–bonding in high symmetric molecules;multi-component methods:tenon-and-mortise,acceptor-donor separation)and other intermolecular interactions(e.g.,π-πstacking-drivenπ-π2max model,π-hole recognition).Case studies in single/multi-component crystals confirm that these strategies tune interaction synergy to achieve target packing motifs.The review highlights that interaction engineering is pivotal for PLEC design,offering a targeted theoretical framework for rational development of LSHEMs(to address the scarcity of practical LSHEMs)and guiding future crystal engineering for energy-safety balanced systems. 展开更多
关键词 Planar lamellar energetic crystals Intermolecular interactions Crystal packing Energy-safety balance Crystal engineering
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Impact pressure shaping plasma jets and affected by high metallicity
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作者 Zuolin Ma Yongli Ping Jiayong Zhong 《Matter and Radiation at Extremes》 2026年第2期21-27,共7页
High-Mach-number plasma jets have been extensively investigated in both astrophysical and laboratory contexts.In this work,we revisit the framework of magnetohydrodynamic(MHD)theory and introduce a new analytical appr... High-Mach-number plasma jets have been extensively investigated in both astrophysical and laboratory contexts.In this work,we revisit the framework of magnetohydrodynamic(MHD)theory and introduce a new analytical approach for examining plasma jets generated by intense laser-plasma interactions.Specifically,we reformulate the fundamental MHD equations to elucidate the governing factors of local plasma density evolution.Furthermore,MHD simulations of laser irradiation on planar targets demonstrate that impact pressure plays a dominant role in the propagation of high-Mach-number plasma jets.In addition,a pronounced dependence on the atomic number is identified:higher-Z materials amplify the impact pressure,suggesting that metallicity exerts a significant influence on the morphology and dynamics of astrophysical jets. 展开更多
关键词 mhd equations analytical approach laser irradiation reformulate fundamental laser plasma interactions plasma jets planar targets magnetohydrodynamic theory
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The t-Tone Coloring of Some Finite Planar Lattices
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作者 Xiaoling ZHANG 《Journal of Mathematical Research with Applications》 2026年第1期13-20,共8页
A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in al... A t-tone coloring of a graph assigns t distinct colors to each vertex with vertices at distance d having fewer than d colors in common.The t-tone chromatic number of a graph is the smallest number of colors used in all t-tone colorings of that graph.In this article,we study t-tone coloring of some finite planar lattices and obtain exact formulas for their t-tone chromatic number. 展开更多
关键词 t-tone coloring t-tone chromatic number planar lattice
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Enhancing Underwater Monocular Depth Estimation with Lpg-Lap Unet for Target Tracking Mission
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作者 YAO Peng WANG Yalu 《Journal of Ocean University of China》 2026年第1期161-170,共10页
Accurately estimating depth from underwater monocular images is essential for the target tracking task of unmanned underwater vehicles.This work proposes a method based on the Lpg-Lap Unet architecture.First,the Unet ... Accurately estimating depth from underwater monocular images is essential for the target tracking task of unmanned underwater vehicles.This work proposes a method based on the Lpg-Lap Unet architecture.First,the Unet architecture integrates Laplacian pyramid depth residuals and Sobel operators to improve the boundary details in depth images,which may suffer from the feature loss caused by upsampling and the blurriness of underwater images.Multiscale local planar guidance layers then fully exploit the intermediate depth features,and a comprehensive loss function ensures robustness and accuracy.Experimental results on benchmarks demonstrate the effectiveness of Lpg-Lap Unet and its superior performance over state-of-the-art models.An underwater target tracking system is then designed to further validate its real-time capabilities in the AirSim simulation platform. 展开更多
关键词 underwater monocular depth estimation Laplacian pyramid multiscale local planar guidance underwater target tracking
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Ultra heat-resistant hydrogen-bonded organic framework:Breaking the thermal stability limit of high-energy materials
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作者 Bojun Tan Jinkang Dou +13 位作者 Jing Zhang Xiong Yang Jiatong Ren Changwei Tang Jian Su Gen Zhang Siwei Song Qinghua Zhang Binghui Duan Hongchang Mo Minghui Xu Xianming Lu Bozhou Wang Ning Liu 《Defence Technology(防务技术)》 2026年第3期300-306,共7页
The pursuit of heat-resistant energetic materials(HREMs)with thermal stability beyond 450℃ presents a significant challenge that has yet to be achieved.In this work,we develop an innovative electronic delocalization ... The pursuit of heat-resistant energetic materials(HREMs)with thermal stability beyond 450℃ presents a significant challenge that has yet to be achieved.In this work,we develop an innovative electronic delocalization strategy to design and synthesize a planar dizwitterionic diamino-bistriazolotetrazine,designated as TYX-1.The unique structural feature of TYX-1,including a nitrogen-rich fused ring system,planar conformation,and dizwitterionic configuration,combined with its hydrogen-bonded organic framework(HOF)structure,confer exceptional thermal stability(The onset temperature is 428℃,and the peak temperature is 473℃),high density(1.84 g/cm^(3)),and remarkable detonation performance(detonation velocity:8616 m/s).Furthermore,TYX-1 exhibits an impressive insensitivity(impact sensitivity>40 J;friction sensitivity>360 N),surpassing all previously reported HREMs.Theoretical calculations and single-crystal clearly indicate that the delocalizedπelectrons within the dizwitterionic bistriazolotetrazine rings and the HOF structure of TYX-1 are pivotal in ensuring its high thermal stability and high energy density.The discovery of TYX-1 marks a significant advancement in the field of HREMs and is anticipated to catalyze substantial progress in various high-temperature applications reliant on energetic materials. 展开更多
关键词 Ultra heat-resistant energetic materials Hydrogen-bonded organic framework A planar dizwitterionic structure Nitrogen-rich fused-ring skeleton
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OP-SLAM:An RGB-D SLAMMOT Method Leveraging the Constraints of Object Planar Features
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作者 WANG Yingli LIU Yang GUO Chi 《Wuhan University Journal of Natural Sciences》 2026年第1期45-57,共13页
By integrating self-localization,environment mapping,and dynamic object tracking into a unified framework,visual simultaneous localization and mapping with multiple object tracking(SLAMMOT)enhances decision-making and... By integrating self-localization,environment mapping,and dynamic object tracking into a unified framework,visual simultaneous localization and mapping with multiple object tracking(SLAMMOT)enhances decision-making and interaction capabilities in applications such as autonomous driving,robotic navigation,and augmented reality.While numerous outstanding visual SLAMMOT methods have been proposed,the majority rely only on point features,overlooking the abundant and stable planar features in artificial objects that can provide valuable constraints.To address this limitation,we propose OP(object planar)-SLAM,an RGB-D SLAMMOT system that leverages planar features to improve object pose estimation and reconstruction accuracy.Specifically,we introduce an accurate object planar feature extraction and association method using normal images,alongside a novel object bundle adjustment framework that incorporates planar constraints for enhanced optimization.The proposed system is evaluated on both synthetic and public real-world datasets,including Oxford multimotion dataset(OMD)and KITTI tracking dataset.Especially on the OMD,where planar features are prominent,our method improves object pose estimation accuracy by approximately 60%.Extensive experiments demonstrate its effectiveness in enhancing object pose estimation and reconstruction,achieving notable performance compared with existing methods.Furthermore,OP-SLAM runs in real time,making it suitable for practical robots and augmented reality applications. 展开更多
关键词 visual simultaneous localization and mapping(SLAM) multiple object tracking(MOT) dynamic scenes planar feature
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Combinatorial Characterization of Upward Planarity
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作者 Xuexing Lu Yu Ye 《Communications in Mathematics and Statistics》 SCIE 2019年第2期207-223,共17页
We give a combinatorial characterization of upward planar graphs in terms of upward planar orders,which are special linear extensions of edge posets.
关键词 Upward planar graph Planar st graph Upward planar order
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High-efficiency RGB achromatic liquid crystal diffractive optical elements 被引量:1
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作者 Yuqiang Ding Xiaojin Huang +2 位作者 Yongziyan Ma Yan Li Shin-Tson Wu 《Opto-Electronic Advances》 2025年第3期4-15,共12页
Liquid crystal Pacharatnam-Berry phase optical elements(PBOEs)have found promising applications in augmented reality and virtual reality because of their slim formfactor,lightweight,and high optical efficiency.However... Liquid crystal Pacharatnam-Berry phase optical elements(PBOEs)have found promising applications in augmented reality and virtual reality because of their slim formfactor,lightweight,and high optical efficiency.However,chromatic aberration remains a serious longstanding problem for diffractive optics,hindering their broader adoption.To overcome the chromatic aberrations for red,green and blue(RGB)light sources,in this paper,we propose a counterintuitive multi-twist structure to achieve narrowband PBOEs without crosstalk,which plays a vital role to eliminate the chromatic aberration.The performance of our designed and fabricated narrowband Pacharatnam-Berry lenses(PBLs)aligns well with our simulation results.Furthermore,in a feasibility demonstration experiment using a laser projector,our proposed PBL system indeed exhibits a diminished chromatic aberration as compared to a broadband PBL.Additionally,polarization raytracing is implemented to demonstrate the versatility of the multi-twist structure for designing any RGB wavelengths with high contrast ratios.This analysis explores the feasibility of using RGB laser lines and quantum dot light-emitting diodes.Overall,our approach enables high optical efficiency,low fabrication complexity,and high degree of design freedom to accommodate any liquid crystal material and RGB light sources,holding immense potential for widespread applications of achromatic PBOEs. 展开更多
关键词 achromatic diffractive optical elements Pacharatnam-Berry phase optical elements liquid crystal planar optics near-eye displays
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A novel W-band substrate integrated microstrip to ultra-thin cavity filter transition
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作者 CAO Yi TANG Xiao-Hong +1 位作者 LIU Yong CAI Zong-Qi 《红外与毫米波学报》 北大核心 2025年第4期540-545,共6页
A novel substrate integrated microstrip to ultra-thin cavity filter transition operating in the W-band is proposed in this letter.The structure is a new method of connecting microstrip circuits and waveguide filters,a... A novel substrate integrated microstrip to ultra-thin cavity filter transition operating in the W-band is proposed in this letter.The structure is a new method of connecting microstrip circuits and waveguide filters,and this new structure enables a planar integrated transition from microstrip lines to ultra-thin cavity filters,thereby reducing the size of the transition structure and achieving miniaturization.The structure includes a conventional tapered microstrip transition structure,which guides the electromagnetic field from the microstrip line to the reduced-height dielectric-filled waveguide,and an air-filled matching cavity which is placed between the dielectric-filled waveguide and the ultra-thin cavity filter.The heights of the microstrip line,the dielectric-filled waveguide and the ultra-thin cavity filter are the same,enabling seamless integration within a planar radio-frequency(RF)circuit.To facilitate testing,mature finline transition structures are integrated at both ends of the microstrip line during fabrications.The simulation results of the fabricated microstrip to ultra-thin cavity filter transition with the finline transition structure,with a passband of 91.5-96.5 GHz,has an insertion loss of less than 1.9 dB and a return loss lower than-20 dB.And the whole structure has also been measured which achieves an insertion loss less than 2.6 dB and a return loss lower than-15 dB within the filter's passband,including the additional insertion loss introduced by the finline transitions.Finally,a W-band compact up-conversion module is designed,and the test results show that after using the proposed structure,the module achieves 95 dBc suppression of the 84 GHz local oscillator.It is also demonstrated that the structure proposed in this letter achieves miniaturization of the system integration without compromising the filter performance. 展开更多
关键词 TRANSITION ultra-thin cavity filter planar W-BAND MINIATURIZATION
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On 3-degeneracy of Kite-free Planar Graphs
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作者 WU Qingqin ZHENG Lina WANG Weifan 《数学进展》 北大核心 2025年第3期449-463,共15页
A graph G is called d-degenerate if every subgraph of G has a vertex of degree at most d.It was known that planar graphs are 5-degenerate and every planar graph without k-cycles for some prescribed k∈{3,5,6}is 3-dege... A graph G is called d-degenerate if every subgraph of G has a vertex of degree at most d.It was known that planar graphs are 5-degenerate and every planar graph without k-cycles for some prescribed k∈{3,5,6}is 3-degenerate.In this paper,we show that if G is a planar graph without kites and 9-or 10-cycles,then G is 3-degenerate,hence 4-choosable and list vertex 2-arborable. 展开更多
关键词 planar graph DEGENERACY KITE CHOOSABILITY list vertex arboricity
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