On the Residual-based Neural Network for Unmodeled Distortions in Coordinate Transformation

Fuente: arXiv
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Main Authors: Rofatto, Vinicius Francisco, de Almeida, Luiz Felipe Rodrigues, Matsuoka, Marcelo Tomio, Klein, Ivandro, Veronez, Mauricio Roberto, Junior, Luiz Gonzaga Da Silveira
Format: Preprint
Published: 2025
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author Rofatto, Vinicius Francisco
de Almeida, Luiz Felipe Rodrigues
Matsuoka, Marcelo Tomio
Klein, Ivandro
Veronez, Mauricio Roberto
Junior, Luiz Gonzaga Da Silveira
author_facet Rofatto, Vinicius Francisco
de Almeida, Luiz Felipe Rodrigues
Matsuoka, Marcelo Tomio
Klein, Ivandro
Veronez, Mauricio Roberto
Junior, Luiz Gonzaga Da Silveira
contents Coordinate transformation models often fail to account for nonlinear and spatially dependent distortions, leading to significant residual errors in geospatial applications. Here we propose a residual-based neural correction strategy, in which a neural network learns to model only the systematic distortions left by an initial geometric transformation. By focusing solely on residual patterns, the proposed method reduces model complexity and improves performance, particularly in scenarios with sparse or structured control point configurations. We evaluate the method using both simulated datasets with varying distortion intensities and sampling strategies, as well as under the real-world image georeferencing tasks. Compared with direct neural network coordinate converter and classical transformation models, the residual-based neural correction delivers more accurate and stable results under challenging conditions, while maintaining comparable performance in ideal cases. These findings demonstrate the effectiveness of residual modelling as a lightweight and robust alternative for improving coordinate transformation accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2505_03757
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the Residual-based Neural Network for Unmodeled Distortions in Coordinate Transformation
Rofatto, Vinicius Francisco
de Almeida, Luiz Felipe Rodrigues
Matsuoka, Marcelo Tomio
Klein, Ivandro
Veronez, Mauricio Roberto
Junior, Luiz Gonzaga Da Silveira
Geophysics
Computer Vision and Pattern Recognition
Machine Learning
Applications
Coordinate transformation models often fail to account for nonlinear and spatially dependent distortions, leading to significant residual errors in geospatial applications. Here we propose a residual-based neural correction strategy, in which a neural network learns to model only the systematic distortions left by an initial geometric transformation. By focusing solely on residual patterns, the proposed method reduces model complexity and improves performance, particularly in scenarios with sparse or structured control point configurations. We evaluate the method using both simulated datasets with varying distortion intensities and sampling strategies, as well as under the real-world image georeferencing tasks. Compared with direct neural network coordinate converter and classical transformation models, the residual-based neural correction delivers more accurate and stable results under challenging conditions, while maintaining comparable performance in ideal cases. These findings demonstrate the effectiveness of residual modelling as a lightweight and robust alternative for improving coordinate transformation accuracy.
title On the Residual-based Neural Network for Unmodeled Distortions in Coordinate Transformation
topic Geophysics
Computer Vision and Pattern Recognition
Machine Learning
Applications
url https://arxiv.org/abs/2505.03757