{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T07:50:33Z","timestamp":1773215433601,"version":"3.50.1"},"reference-count":51,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T00:00:00Z","timestamp":1773014400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Algorithms"],"abstract":"<jats:p>In recent years, the refinement of bounding box representations has emerged as a major research focus in remote sensing. Nevertheless, mainstream detection algorithms typically ignore the disruptive impacts induced by the diverse morphologies and arbitrary orientations of high-aspect-ratio aerial objects throughout model training, thereby giving rise to several critical technical challenges: (1) Anisotropic information distribution: Target features are highly concentrated in one spatial dimension but sparse in the other, with significant feature differences across bounding box parameters, breaking the symmetry of feature distribution. (2) Missing high-quality positive samples: IoU-based assignment strategies fail to adequately capture the symmetric structural characteristics of elongated targets, resulting in incomplete coverage of critical features. (3) Loss function gradient instability: Small deviations in large-aspect-ratio bounding boxes cause drastic loss value fluctuations, as the asymmetric gradient changes hinder stable optimization directions during training. To address the challenges, we propose a Spatial Orthogonal and Boundary-Aware Network (SOBA-Net) for rotated and elongated target detection, leveraging symmetry-aware designs to enhance feature representation. Specifically, spatial staggered convolutions are constructed to fuse local and directional contextual features, effectively modeling long-range symmetric information across multiple spatial scales and reducing background noise interference. Secondly, the designed Symmetric-Constrained Label Assignment (SC-LA) introduces an IoU-weighted function, ensuring high-quality samples with symmetric structural features are classified as positive samples. Ultimately, the designed Gradient Dynamic Equilibrium Loss Function mitigates the problem of unstable gradients associated with high-aspect-ratio objects by enforcing symmetrical gradient regulation across samples with negligible localization deviations. Comprehensive evaluations across three representative remote sensing benchmarks\u2014DOTA, UCAS-AOD, and HRSC2016\u2014sufficiently corroborate the superiority of symmetry-aware enhancement schemes, which boast straightforward implementation and efficient inference deployment.<\/jats:p>","DOI":"10.3390\/a19030206","type":"journal-article","created":{"date-parts":[[2026,3,9]],"date-time":"2026-03-09T15:49:42Z","timestamp":1773071382000},"page":"206","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Spatial Orthogonal and Boundary-Aware Network for Rotated and Elongated-Target Detection"],"prefix":"10.3390","volume":"19","author":[{"given":"Yong","family":"Liu","sequence":"first","affiliation":[{"name":"School of Smart City, Chengdu Vocational and Technical College of Industry, Chengdu 610218, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhengbiao","family":"Jing","sequence":"additional","affiliation":[{"name":"School of Intelligent Manufacturing and Automotive, Chengdu Vocational and Technical College of Industry, Chengdu 610218, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yinghong","family":"Chang","sequence":"additional","affiliation":[{"name":"School of Intelligent Manufacturing and Automotive, Chengdu Vocational and Technical College of Industry, Chengdu 610218, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3021-5371","authenticated-orcid":false,"given":"Donglin","family":"Jing","sequence":"additional","affiliation":[{"name":"Shanghai Aerospace Control Technology Institute, Shanghai 201109, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2026,3,9]]},"reference":[{"key":"ref_1","unstructured":"Czarnecki, W.M., Osindero, S., Jaderberg, M., Swirszcz, G., and Pascanu, R. 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