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    18 August 2026, Volume 55 Issue 7
    Frontiers in AI-Driven Geodesy and Satellite Gravity Inversion
    GNSS-based terrestrial water storage inversion using physics-informed neural networks
    Cheng Zhang, Bao Zhang, Yibin Yao, Chengchang Zhu
    2026, 55(7):  1141-1157.  doi:10.11947/j.AGCS.2026.20260043
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    Terrestrial water storage (TWS) is a key indicator of the water cycle and climate change, and accurate monitoring of its variations is essential for understanding changes in the water cycle under climate warming. To address the inherent limitations of GRACE/GRACE-FO satellite gravity products in spatial resolution and temporal continuity, as well as the spatial discreteness and complex noise of GNSS vertical crustal displacement observations, this study proposes a TWS inversion framework based on physics-informed neural networks (PINN). The proposed method deeply integrates GNSS imaging results with fused GRACE products, enabling a paradigm shift from discrete station observations to continuous spatial field reconstruction. First, GNSS station vertical displacement time series are transformed into a regular-grid deformation field using spatial imaging techniques to enhance spatial continuity and hydrological signal characterization. On this basis, a PINN model is constructed with time and GNSS vertical crustal displacement as inputs and GRACE TWS as the output, and is compared with a backpropagation neural network under consistent parameter settings. The results show that, after introducing physical information constraints, the model significantly outperforms the purely data-driven model, and the reconstructed results show higher consistency with GRACE and GLDAS products in amplitude, phase, and interannual variability. In addition, the dynamic weighting strategy enables the model to effectively balance data fitting and physical constraints during training, thereby improving convergence stability and overall inversion accuracy. This study demonstrates that PINN provides a robust and transferable technical pathway for regional high-resolution TWS inversion constrained by geodetic observations.

    Assessing the enhancement of high-resolution marine gravity field recovery by SWOT altimetry data
    Jianhao Xuan, Qiujie Chen, Xingfu Zhang, Yunzhong Shen
    2026, 55(7):  1158-1170.  doi:10.11947/j.AGCS.2026.20250422
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    The high-resolution marine gravity field is critical for studying seabed tectonics, resource exploration, and ocean circulation. This study developed a degree and order 2190 global gravity field solution named Tongji-SWOT03 in ellipsoidal harmonics by integrating the block-diagonal normal equation of multi-source altimetry data (including SWOT) with the full normal equation from GRACE/GOCE satellite gravity data. Spectral-spatial domain analysis and validation against shipborne gravity data reveal that: ①the combined solution effectively incorporates the long-wavelength signals from satellite gravimetry and the high-frequency details from SWOT data; ②the Tongji-SWOT03 solution achieves the highest overall accuracy of 3.64 mGal in global shipborne validation, demonstrates robust performance across diverse marine environments, including coastal zones, open oceans, and trenches, shows enhanced capability in resolving fine-scale gravity anomaly features; ③the combined gravity field solutions improve accuracy by 2%~7% over marine gravity field solutions. This study confirms that multi-source satellite data combination provides an effective pathway toward high-accuracy and high-resolution global marine gravity field modeling.

    Rapid magnitude estimation based on BDS-3 PPP-B2b coseismic displacement and deep learning: a case study of the 2025 Tingri Mw 7.1 and Mandalay Mw 7.7 earthquakes
    He Li, Kejie Chen, Wenfeng Cui, Haishan Chai, Rongxin Fang, Chaoyong Peng, Li Sun
    2026, 55(7):  1171-1182.  doi:10.11947/j.AGCS.2026.20260112
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    Rapid and accurate source characterization is central to improving the timeliness and accuracy of earthquake early warning. Based on a universal training dataset constructed from high-rate GNSS waveforms of historical global major earthquakes, this study develops a spatiotemporal sequence deep learning model named CTSequence, which is designed to simultaneously capture the spatiotemporal evolution of earthquake rupture and determine magnitude using real-time GNSS observation streams based on PPP-B2b technology. The model is applied to the 2025 Tingri, Xizang Mw 7.1 earthquake and the Mandalay, Myanmar Mw 7.7 earthquake to validate its generalization performance. Results show that the model can provide valuable magnitude estimates within approximately 30 s after the P-wave arrival at the first station and converges rapidly to the true magnitude around 75 s after the earthquake origin time. In the test dataset, the final accuracy at 200 s reaches 99.6%. Furthermore, the model demonstrates excellent robustness, maintaining stable estimation performance even under sparse station conditions (N=8). This approach can provide stable, rapid, and uncertainty-characterized magnitude estimation support for earthquake early warning systems, and is particularly suitable for extreme environments with sparse station coverage or network communication disruptions.

    A correction method for GOCE satellite attitude quaternions considering moonlight disturbance and orbit-periodic noise
    Zehua Guo, Xinyu Xu, Yongqi Zhao, Wenqi Lin, Jiawei Ding
    2026, 55(7):  1183-1198.  doi:10.11947/j.AGCS.2026.20250454
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    The attitude observations acquired by the star trackers (STR) onboard the gravity field and steady state ocean circulation explorer (GOCE) satellite provide a reference for high-precision gravity gradient measurement and recovery using the electrostatic gravity gradiometer (EGG). However, these attitude data are affected by periodic moonlight interference and orbit-period-related noise, leading to local biases and orbit-periodic components in the inter-boresight angle residuals (ΔIBA) of the star trackers. This study proposes an attitude data correction method that simultaneously accounts for these effects. First, a correction method considering temperature effects is adopted to estimate the constant biases and temperature coefficients of the STRs; moonlight-contaminated data segments are then identified by combining the valid observation status of the STRs, the satellite-Moon vector, and the angle between this vector and the STR boresight. Then, the Levenberg-Marquardt (LM) method is used to minimize the sum of squared ΔIBA values and estimate local calibration parameters. Finally, orbit-periodic noise terms are estimated based on ΔIBA and reduced from the measured attitude data. Validation using GOCE attitude data from January to June 2012 shows that the estimated inter-STR relative constant biases and relative temperature coefficients are in good agreement with the ESA calibration results, with maximum discrepancies of 0.257″and 0.04″/℃, respectively. The times at which anomalies occur in the periodic mean values of ΔIBA13 and ΔIBA23 highly coincide with the periods when the angle between the satellite-Moon vector and the corresponding STR boresight is less than 14°, and recur with a period of approximately 30 days. After local correction using the LM algorithm, the periodic mean values of ΔIBA13 and ΔIBA23 are reduced to 3.95″and 3.39″, respectively, while their standard deviations decrease from 0.87″and 0.84″to 0.44″and 0.63″, respectively. After removing the orbit-periodic terms, the power spectral density (ASD) of the angular-rate differences exhibits spectral peaks consistent with the fitted orders over the range of 1~30 cycles per revolution (CPR). The results demonstrate that the proposed method can effectively reduce the effects of moonlight-induced local biases and low-frequency orbit-periodic errors.

    Geodesy and Navigation
    Joint along-track and cross-track crossover adjustment of SWOT/KaRIn altimetry data
    Xin Liu, Shaoshuai Ya, Xin Fan, Yongjun Jia, Xiaotao Chang, Guangbin Zhu, Jinyun Guo
    2026, 55(7):  1199-1211.  doi:10.11947/j.AGCS.2026.20260122
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    This study proposes a joint along-track and cross-track crossover adjustment method for SWOT/KaRIn altimetry data to enhance the quality of sea surface heights (SSHs). The approach employs a hybrid polynomial model to correct time-dependent errors along-track and a linear model to compensate for geographically correlated errors across-track. Validation was conducted in the sea region around Japan (130°E—145°E, 27°N—43°N) using scientific-phase Level 2 Ka-band Radar Interferometer low-rate SSH products (L2_LR_SSH) from cycle 003. Four adjustment schemes were tested: along-track Fourier model, along-track hybrid polynomial model, along-track hybrid polynomial model+cross-track Fourier model, and along-track hybrid polynomial model+cross-track linear model. Results indicate that, for along-track-only adjustment, along-track hybrid polynomial model yields higher accuracy in reducing crossover discrepancies compared to along-track Fourier model. Incorporating cross-track adjustment, along-track hybrid polynomial model+cross-track linear model achieves the lowest standard deviation (STD) of crossover discrepancies, measuring 4.27 cm along-track and 3.62 cm cross-track. To assess generalizability, external crossover adjustments were performed between SWOT and reference missions (Sentinel-6A and Jason-3). Along-track hybrid polynomial model+cross-track linear model consistently delivers optimal accuracy post-adjustment, with unequal weighting proving superior to equal weighting. These findings demonstrate that joint along-track and cross-track crossover adjustment significantly improves SWOT SSH data quality, providing a robust dataset for marine gravity field research.

    Reference station position moving method for high-precision positioning and orbit determination
    Jun Li, Huizhong Zhu, Bo Li, Yangyang Lu, Zijia Wang, Zhiqiang Liu
    2026, 55(7):  1212-1228.  doi:10.11947/j.AGCS.2026.20260094
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    High-precision positioning and orbit determination rely on accurate reference station coordinates, but these coordinates cannot remain confidential during real-time transmission and computation. To address this, a reference station position moving method based on spatial error correlation is proposed. This method assumes that atmospheric errors remain consistent with the original station, and by accounting for the geometric distance between the moved station and the satellite, it generates a moved reference station with error characteristics similar to the original. This allows the moved station to replace the original in providing precise positioning determination (PPD) and precise orbit determination (POD) services. To evaluate the impact of this approach, the performance of PPP-RTK positioning, network RTK positioning, and precise orbit determination using moved reference stations is analyzed. Experimental results show that when the reference station is randomly moved up to 900 m, the effect on NL-UPD and PPP-RTK positioning is negligible, and high-precision PPP-RTK remains unaffected. For network RTK, the impact on ambiguity resolution and error correction accuracy increases with moving distance. At 5000 m, float-ambiguity differences become significant, and undifferenced error correction values rise sharply, yet network RTK high-precision positioning remains unaffected, with limited impact on regional enhanced positioning. When the reference station is randomly moved up to 900 m, the influence on precision orbit determination is minimal, with the BDS-IGSO precision orbit showing the largest deviation of only 8.4 mm, meeting high-precision requirements.

    A sample generation and enhancement method for side-scan sonar targets in complex marine environments
    Xi Zhao, Qiangqiang Yuan, Jiadan Xu
    2026, 55(7):  1229-1239.  doi:10.11947/j.AGCS.2026.20250503
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    To address the difficulty of acquiring real side-scan sonar (SSS) target samples and the limited capability of conventional augmentation methods in representing acoustic scattering characteristics, this study proposes a target sample generation framework based on the SSS imaging mechanism. An underwater target imaging model integrating echo intensity and acoustic ray propagation is first constructed according to the SSS imaging principle and acoustic energy propagation model. Subsequently, considering the influence of seabed topography and geomorphology on acoustic imaging, an improved style transfer strategy is introduced to enhance the generated images and improve their realism and environmental consistency. In addition, an environmental noise model is incorporated to perform noise perturbation and environmental feature enhancement, thereby generating multi-scene shipwreck target samples. Experimental results demonstrate that the detection model trained solely on the generated samples achieves a detection accuracy of 0.88 mAP (0.5), verifying the effectiveness of the proposed sample generation method for few-shot underwater target detection tasks. The proposed method can provide data support for training side-scan sonar target detection models in complex marine environments.

    Assessing the capability and accuracy of SWOT satellite river observations in China
    Hao Lu, Wei Feng, Xiaobing Wang, Wei Chen, Min Zhong
    2026, 55(7):  1240-1253.  doi:10.11947/j.AGCS.2026.20250484
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    This study evaluates the observation capability and accuracy of the SWOT wide-swath altimetry satellite for monitoring river water levels and water level changes in China. Within a 21-day revisit cycle, SWOT can observe 97.39% of river reaches in China at least once. Validation against in situ water level data from 301 hydrological gauge stations demonstrates that SWOT achieves a mean absolute error (MAE) of 0.35 m for monitoring river water level variations in China, with an overall correlation coefficient greater than 0.9. Results across different basins indicate that SWOT exhibits higher monitoring accuracy in the Songhua-Liaohe, Haihe, Huaihe, and Yellow River basins (MAE<0.3 m), while relatively larger errors are observed in the Pearl River and Yangtze River basins. To address phase unwrapping errors near dams caused by spatial discontinuity of water levels, this study employs a correction method based on low-coherence water body identification and optimal integer ambiguity determination, which spatially separates upstream and downstream water bodies and iterates through different integer ambiguities to recover correct elevations. To address the asymmetric noise distribution characteristic of narrow rivers, this study proposes a multi-level adaptive filtering (MAF) algorithm based on spatial continuity testing, which identifies anomalous points through k-nearest neighbor spatial continuity testing and adaptively removes outliers based on skewness characteristics. Validation at 10 test stations shows that after phase unwrapping correction and MAF algorithm processing, the average MAE decreased from 1.73 m to 0.32 m. This research validates the reliability of SWOT satellite for river water level monitoring variations in China, providing a technical approach for large-scale, high-precision hydrological parameter acquisition, with important reference value for water resource management and flood disaster monitoring.

    Analysis of the impact of different geomagnetic activity levels and high-order ionospheric corrections on PPP
    Wanjun Ma, Xing Zhou, Zhenyu Li, Liyang Wang, Liang Zhao, Gongwei Xiao, Genyou Liu
    2026, 55(7):  1254-1265.  doi:10.11947/j.AGCS.2026.20250327
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    Ionospheric delay is one of the largest sources of error in navigation and positioning, especially during solar flares and geomagnetic storms, which have a serious impact on BDS/GNSS navigation and positioning. To further evaluate the impact of ionospheric spatiotemporal disturbance characteristics on PPP positioning performance under different geomagnetic storm intensities, this paper selects observation data from 20 evenly distributed GNSS reference stations in Gansu province, and divides them into four scenarios: strong geomagnetic storms, moderate geomagnetic storms, weak geomagnetic storms, and geomagnetic calm periods. The differences in observation data quality and positioning accuracy under different magnetic activity intensities are compared and analyzed; and based on the global ionospheric grid (GIM) product, investigate the effects of high-order corrections in the ionosphere and daytime ionospheric disturbances on the positioning results. The experimental results show that there are significant abnormal data observed under strong geomagnetic storms, and the number of BDS abnormal data is lower than that of GPS;in terms of multipath error at each frequency point, L2 frequency point has the highest error, followed by B3I, L5, L1, and B1C. Among the overlapping frequencies, BeiDou B1C has the best resistance to multipath error;after high-order ionospheric correction, there is a significant correction in the N and U directions, and the positioning result shows a southward shift of about 2 mm after correction, which decreases with increasing latitude. Moreover, the GIM product has no significant effect on BDS correction;in addition, analysis of daily ionospheric activity indicates that abnormal ionospheric interference may cause centimeter level errors in positioning, which increase with altitude.

    Photogrammetry and Remote Sensing
    An adaptive-pruning 3D Gaussian SLAM method for real-time high-fidelity indoor scene modeling
    Jun Gong, Jianjun Luo, Shengnan Ke, Shibin Li, Weicong Chen, Le Qin, Shengjun Tang
    2026, 55(7):  1266-1277.  doi:10.11947/j.AGCS.2026.20260050
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    In recent years, robotics and augmented reality (AR) applications have imposed increasingly stringent requirements on the real-time performance and interpretability of dense SLAM. As an explicit 3D scene representation, 3D Gaussian splatting (3DGS) combines fast rendering with structural interpretability and has emerged as a promising direction for high-quality mapping. However, existing 3DGS-SLAM systems still struggle to simultaneously achieve high reconstruction accuracy and real-time efficiency in online mapping, mainly due to the lack of adaptive control over the number of Gaussian primitives. To address this issue, we propose an adaptive-pruning 3D Gaussian SLAM method for real-time, high-fidelity modeling. The proposed approach explicitly incorporates a “map scale/Gaussian budget” term into the mapping optimization objective and introduces a score-driven Gaussian management mechanism. Specifically, during optimization, multi-view photometric consistency residuals, occlusion awareness, and viewpoint coverage are jointly leveraged to online estimate the contribution of each Gaussian to geometric consistency and appearance fidelity. Based on these scores, adaptive densification and priority-based pruning are performed in a unified manner to dynamically regulate model complexity. In addition, a learnable mask coupled with a sparsity regularization term is introduced to promote the adaptive contraction of the effective Gaussian set, thereby reducing GPU memory usage and rendering overhead. Experiments on public benchmark datasets demonstrate that the proposed method maintains stable reconstruction quality even at an approximately 65% pruning ratio, while substantially reducing computational and storage costs. These results indicate that the proposed approach improves online mapping efficiency without compromising map visualization quality, providing an effective scale-adaptive control scheme for real-time, high-fidelity 3DGS-SLAM mapping.

    A visual SLAM method fusing lightweight illumination enhancement network in complex illumination environments
    Lubing Zeng, Jiansheng Li, Ancheng Wang, Zidi Yang, Yuning Gao, Jiajie Zhang
    2026, 55(7):  1278-1292.  doi:10.11947/j.AGCS.2026.20250514
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    Visual simultaneous localization and mapping (SLAM) is susceptible to tracking failure under complex illumination conditions such as low-light and high-exposure due to feature quality degradation. To address this challenge, we propose a visual SLAM method based on a lightweight illumination enhancement network. First, a spatially adaptive illumination equalization (IE) curve is designed to achieve low-light enhancement and high-exposure suppression through per-pixel spatial trend maps while maintaining photometric consistency in normally illuminated regions. Then, an image-mean-driven adaptive continuous iteration strategy is proposed to dynamically adjust the curve order for images with varying exposure levels, effectively avoiding the limitations of fixed iterations. Finally, we improve the deep curve estimation network (DCE-Net) by employing depth-wise separable convolutions (DSC) and end-batch normalization to maintain training stability with almost the same parameter count. Tests show that single-frame processing on the CPU requires only 12 ms, meeting the real-time requirements of the SLAM frontend. To validate the proposed method, experiments were conducted on 12 challenging illumination sequences from the EuRoC, TUM-VI, and KITTI datasets. Comparative analyses were performed with various traditional and deep learning visual enhancement algorithms. The experimental results demonstrate that the root mean square error (RMSE) of absolute trajectory error (ATE) is reduced by 32.3% on average compared with VINS-Fusion, achieving the best performance among all compared methods. This method provides a solution for the reliable deployment of visual SLAM in complex illumination environments.

    Cartography and Geographic Information
    Construction and solution of a multi-objective hierarchical fuzzy optimization model for fire station location considering risk levels
    Lin Liu, Dongmei Pei, Wanwu Li, Xiutao Tang, Bin Wu, Yan Jin
    2026, 55(7):  1293-1305.  doi:10.11947/j.AGCS.2026.20260070
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    Optimizing fire station location to improve emergency rescue efficiency is an urgent issue in urban development. This study investigates fire station location from three aspects: model construction, solution, and evaluation, aiming to optimize the spatial layout of fire stations. Firstly, based on differences in station attributes and fire response demands, we classify risk levels and set corresponding response times. Considering factors such as cost, coverage rate, and response timeliness, we adopt a multi-objective hierarchical optimization modeling approach to establish a two-level objective function of quantity and distance. Secondly, using the road network, we define a path distance measure and replace traditional linear constraints with fuzzy nonlinear membership functions, thereby constructing a fuzzy multi-objective hierarchical location model based on path distance, named R-NLSM. Finally, the fuzzy membership functions are embedded into both genetic algorithm (GA) and particle swarm optimization (PSO) algorithms, and the two algorithms are employed to solve the model. Experimental results show that the overall response coverage rate increases by 16.69 percentage points after optimization, demonstrating the effectiveness and stability of the proposed model. Moreover, the model improves the matching between different risk levels and fire rescue efficiency, and ensures timely response for highrisk demand points. This work provides a methodological reference and technical pathway for fire station location and layout optimization.

    Multi-source low-altitude risk quantification and route generation in urban environments
    Qinghua Tan, Heng Qi, Hongyu Shi, Luliang Tang, Zihan Kan, Hong Yang, Lele Sun, Yafei Liu, Zhengxiong Gu
    2026, 55(7):  1306-1320.  doi:10.11947/j.AGCS.2026.20250371
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    The development and utilization of low-altitude airspace are gradually becoming a strategic pillar for advancing the low-altitude economy. However, the massive influx of low-altitude aircraft poses unprecedented safety challenges over urban areas. How to scientifically, comprehensively, and accurately quantify the risk distribution in complex urban low-altitude environments, and subsequently generate safe and efficient air routes, has become a critical scientific problem. Existing research often overlooks the multi-dimensional coupled risks between urban low-altitude and ground space, and air route generation algorithms are typically confined to local search, making it difficult to achieve accurate risk quantification and globally optimal route generation. To this end, this paper proposes a low-altitude risk quantification method and an intelligent route generation model constrained primarily by ground risk. Firstly, by fusing three types of data—population density, building density, and land use type—we propose a low-altitude risk factor quantification and combined weighting method to construct a high-medium-low multi-level low-altitude risk distribution map. Secondly, an intelligent air route generation model based on adaptive particle swarm optimization (APSO-AR) is proposed. By incorporating an adaptive air route node construction, a risk perception sampling mechanism, and an interval penalty mechanism, the model achieves global risk perception and optimal route generation for low-altitude aircraft within complex urban scenes. Finally, air route generation experiments were conducted using Wuhan city as the research area. The results demonstrate that, compared to ant colony optimization (ACO), genetic algorithm (GA), risk A* algorithm, and the traditional particle swarm optimization (PSO), the air routes generated by APSO-AR show an average reduction of 12.0% in route length and an average reduction of 30.7% in risk level, while the average code runtime is reduced by 77.4%. The model simultaneously ensures route optimality, risk minimization, and global rationality. This paper provides a new technical path for “risk quantification—route generation”, providing methodological support for urban low-altitude risk map construction and route planning.

    Summary of PhD Thesis
    Sub-meter positioning with smartphone global navigation satellite system measurements in complex environments
    Jiahuan Hu
    2026, 55(7):  1321-1321.  doi:10.11947/j.AGCS.2026.20250008
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    Research on spatial structure pattern and deconstruction mechanism of urban shadow areas from a dynamic network perspective
    Weiting Xiong
    2026, 55(7):  1322-1322.  doi:10.11947/j.AGCS.2026.20250050
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    Spatial compound variable theory and Yang Chizhong methods for three-dimensional spatial structure analysis of mineralization
    Jie Yang
    2026, 55(7):  1323-1323.  doi:10.11947/j.AGCS.2026.20250080
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    A three-dimensional visualization and optimization modeling method of landslide disaster emergency scenes guided by knowledge
    Lin Fu
    2026, 55(7):  1324-1324.  doi:10.11947/j.AGCS.2026.20250106
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    Multi-frequency and multi-system phase observable-specific signal bias estimation method
    Tianjun Liu
    2026, 55(7):  1325-1325.  doi:10.11947/j.AGCS.2026.20250111
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    Spatiotemporal variation of surface velocity in typical regions of Antarctic ice sheet/ice shelf
    Yuanyuan Ma
    2026, 55(7):  1326-1326.  doi:10.11947/j.AGCS.2026.20250121
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    Secrecy performance analysis and transmission model optimization of satellite-terrestrial link for integration of communication and navigation
    Xiaoqi Wang
    2026, 55(7):  1327-1327.  doi:10.11947/j.AGCS.2026.20250136
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    Remote sensing inversion and application of particulate phosphorus concentration in lakes of the Yangtze River Plain
    Shuai Zeng
    2026, 55(7):  1328-1328.  doi:10.11947/j.AGCS.2026.20250144
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    Research on observation biases estimation method and application in GNSS multi-frequency and multi-constellation precise point positioning
    Xuexi Liu
    2026, 55(7):  1329-1329.  doi:10.11947/j.AGCS.2026.20250154
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    Research on key technologies of LiDAR/Vision/INS multi-object tracking and autonomous localization based on factor graph optimization in dynamic scenes
    Shaoquan Feng
    2026, 55(7):  1330-1330.  doi:10.11947/j.AGCS.2026.20250159
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