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While numerous techniques have been developed based on various sensor suites, odometry estimation using only radar and IMU remains an underexplored area. Radar proves particularly valuable in environments where traditional sensors, like cameras or LiDAR, may struggle, especially in low-light conditions or when faced with environmental challenges like fog, rain or smoke. However, despite its robustness, radar data is noisier and more prone to outliers, requiring specialized processing approaches. In this paper, we propose a graph-based optimization approach (\n                    <jats:ext-link xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" xlink:href=\"https:\/\/github.com\/robotics-upo\/4D-Radar-Odom.git\" ext-link-type=\"uri\">https:\/\/github.com\/robotics-upo\/4D-Radar-Odom.git<\/jats:ext-link>\n                    ) using a sliding window for radar-based odometry, designed to maintain robust relationships between poses by forming a network of connections, while keeping computational costs fixed (specially beneficial in long trajectories). Additionally, we introduce an enhancement in the ego-velocity estimation specifically for ground vehicles, both holonomic and non-holonomic, which subsequently improves the direct odometry input required by the optimizer. Finally, we present a comparative study of our approach against existing algorithms, showing how our pure odometry approach improves the state of art in all trajectories of the NTU4DRadLM dataset, achieving promising results when evaluating key performance metrics.\n                  <\/jats:p>","DOI":"10.1007\/s10846-025-02301-9","type":"journal-article","created":{"date-parts":[[2025,9,23]],"date-time":"2025-09-23T09:10:10Z","timestamp":1758618610000},"update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Loosely coupled 4D-Radar-Inertial Odometry for Ground Robots"],"prefix":"10.1007","volume":"111","author":[{"given":"Luc\u00eda","family":"Coto-Elena","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fernando","family":"Caballero","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Luis","family":"Merino","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2025,9,23]]},"reference":[{"key":"2301_CR1","doi-asserted-by":"crossref","unstructured":"Shan, T., Englot, B.: Lego-loam: Lightweight and ground-optimized lidar odometry and mapping on variable terrain. 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