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Digital elevation models (DEMs) underpin terrain analysis in Geographic Information Systems (GIS), but in their common raster form, they rely on interpolation for off-grid sampling and finite-difference operators for derivative-based…

Machine Learning · Computer Science 2026-05-22 Haoan Feng , Xin Xu , Leila De Floriani

Implicit neural representation (INR) has proven to be accurate and efficient in various domains. In this work, we explore how different neural networks can be designed as a new texture INR, which operates in a continuous manner rather than…

Computer Vision and Pattern Recognition · Computer Science 2026-02-03 Albert Kwok , Zheyuan Hu , Dounia Hammou

Implicit Neural Representations (INRs) provide a powerful continuous framework for modeling complex visual and geometric signals, but spectral bias remains a fundamental challenge, limiting their ability to capture high-frequency details.…

Machine Learning · Computer Science 2025-12-01 Yesom Park , Kelvin Kan , Thomas Flynn , Yi Huang , Shinjae Yoo , Stanley Osher , Xihaier Luo

Reliably reconstructing physical fields from sparse sensor data is a challenge that frequently arises in many scientific domains. In practice, the process generating the data often is not understood to sufficient accuracy. Therefore, there…

Machine Learning · Computer Science 2024-01-23 Xihaier Luo , Wei Xu , Yihui Ren , Shinjae Yoo , Balu Nadiga

Reconstructing continuous environmental fields from sparse and irregular observations remains a central challenge in environmental modelling and biodiversity informatics. Many ecological datasets are heterogeneous in space and time, making…

Machine Learning · Computer Science 2026-04-21 Agnieszka Pregowska , Hazem M. Kalaji

Geometric Deep Learning has recently made striking progress with the advent of continuous deep implicit fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2022-03-25 Benoit Guillard , Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Timur Bagautdinov , Pierre Baque , Pascal Fua

Neural implicit representations have become a popular choice for modeling surfaces due to their adaptability in resolution and support for complex topology. While previous works have achieved impressive reconstruction quality by training on…

Computer Vision and Pattern Recognition · Computer Science 2024-08-12 Lu Sang , Abhishek Saroha , Maolin Gao , Daniel Cremers

Implicit neural representations (INRs) mark a fundamental shift in signal modeling, moving from discrete sampled data to continuous functional representations. By parameterizing signals as neural networks, INRs provide a unified framework…

Computer Vision and Pattern Recognition · Computer Science 2026-04-17 Dhananjaya Jayasundara , Vishal M. Patel

Recent advances in implicit neural representations show great promise when it comes to generating numerical solutions to partial differential equations. Compared to conventional alternatives, such representations employ parameterized neural…

Machine Learning · Computer Science 2021-11-29 Jonas Zehnder , Yue Li , Stelian Coros , Bernhard Thomaszewski

Implicit Neural Representations (INRs) have emerged as a paradigm in knowledge representation, offering exceptional flexibility and performance across a diverse range of applications. INRs leverage multilayer perceptrons (MLPs) to model…

Computer Vision and Pattern Recognition · Computer Science 2025-02-19 Amer Essakine , Yanqi Cheng , Chun-Wun Cheng , Lipei Zhang , Zhongying Deng , Lei Zhu , Carola-Bibiane Schönlieb , Angelica I Aviles-Rivero

Implicit Neural Representations (INR) use multilayer perceptrons to represent high-frequency functions in low-dimensional problem domains. Recently these representations achieved state-of-the-art results on tasks related to complex 3D…

Computer Vision and Pattern Recognition · Computer Science 2021-09-02 Nuri Benbarka , Timon Höfer , Hamd ul-moqeet Riaz , Andreas Zell

Implicit neural representations (INRs) have gained prominence as a powerful paradigm in scene reconstruction and computer graphics, demonstrating remarkable results. By utilizing neural networks to parameterize data through implicit…

Image and Video Processing · Electrical Eng. & Systems 2023-08-01 Amirali Molaei , Amirhossein Aminimehr , Armin Tavakoli , Amirhossein Kazerouni , Bobby Azad , Reza Azad , Dorit Merhof

The identification and modeling of the terrain from point cloud data is an important component of Terrestrial Remote Sensing (TRS) applications. The main focus in terrain modeling is capturing details of complex geological features of…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 Lee Easson , Alireza Tavakkoli , Jonathan Greenberg

Geometric Deep Learning has recently made striking progress with the advent of continuous Deep Implicit Fields. They allow for detailed modeling of watertight surfaces of arbitrary topology while not relying on a 3D Euclidean grid,…

Computer Vision and Pattern Recognition · Computer Science 2020-11-03 Edoardo Remelli , Artem Lukoianov , Stephan R. Richter , Benoît Guillard , Timur Bagautdinov , Pierre Baque , Pascal Fua

Personalised 3D vascular models are valuable for diagnosis, prognosis and treatment planning in patients with cardiovascular disease. Traditionally, such models have been constructed with explicit representations such as meshes and voxel…

Image and Video Processing · Electrical Eng. & Systems 2022-09-19 Dieuwertje Alblas , Christoph Brune , Kak Khee Yeung , Jelmer M. Wolterink

Surface extraction from implicit neural representations modelling a single class surface is a well-known task. However, there exist no surface extraction methods from an implicit representation of multiple classes that guarantee topological…

Machine Learning · Computer Science 2026-02-19 Jash Vira , Andrew Myers , Simon Ratcliffe

Implicit neural representation (INR) can describe the target scenes with high fidelity using a small number of parameters, and is emerging as a promising data compression technique. However, limited spectrum coverage is intrinsic to INR,…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Runzhao Yang , Tingxiong Xiao , Yuxiao Cheng , Jinli Suo , Qionghai Dai

Digital terrain maps (DTMs) are an important part of planetary exploration, enabling operations such as terrain relative navigation during entry, descent, and landing for spacecraft and aiding in navigation on the ground. As robotic…

Computer Vision and Pattern Recognition · Computer Science 2025-08-05 Josef X. Biberstein , Guilherme Cavalheiro , Juyeop Han , Sertac Karaman

The digital terrain model (DTM) is fundamental geospatial data for various studies in urban, environmental, and Earth science. The reliability of the results obtained from such studies can be considerably affected by the errors and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-01 Hunsoo Song , Jinha Jung

Implicit neural representations have emerged as a powerful tool in learning 3D geometry, offering unparalleled advantages over conventional representations like mesh-based methods. A common type of INR implicitly encodes a shape's boundary…

Computer Vision and Pattern Recognition · Computer Science 2024-10-17 Shen Fan , Przemyslaw Musialski
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