Differential pose optimization in descriptor space -- Combining Geometric and Photometric Methods for Motion Estimation

Fuente: arXiv
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Hauptverfasser: Teigen, Andreas L., Stahl, Annette, Mester, Rudolf
Format: Preprint
Veröffentlicht: 2026
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author Teigen, Andreas L.
Stahl, Annette
Mester, Rudolf
author_facet Teigen, Andreas L.
Stahl, Annette
Mester, Rudolf
contents One of the fundamental problems in computer vision is the two-frame relative pose optimization problem. Primarily, two different kinds of error values are used: photometric error and re-projection error. The selection of error value is usually directly dependent on the selection of feature paradigm, photometric features, or geometric features. It is a trade-off between accuracy, robustness, and the possibility of loop closing. We investigate a third method that combines the strengths of both paradigms into a unified approach. Using densely sampled geometric feature descriptors, we replace the photometric error with a descriptor residual from a dense set of descriptors, thereby enabling the employment of sub-pixel accuracy in differential photometric methods, along with the expressiveness of the geometric feature descriptor. Experiments show that although the proposed strategy is an interesting approach that results in accurate tracking, it ultimately does not outperform pose optimization strategies based on re-projection error despite utilizing more information. We proceed to analyze the underlying reason for this discrepancy and present the hypothesis that the descriptor similarity metric is too slowly varying and does not necessarily correspond strictly to keypoint placement accuracy.
format Preprint
id arxiv_https___arxiv_org_abs_2602_14297
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Differential pose optimization in descriptor space -- Combining Geometric and Photometric Methods for Motion Estimation
Teigen, Andreas L.
Stahl, Annette
Mester, Rudolf
Computer Vision and Pattern Recognition
One of the fundamental problems in computer vision is the two-frame relative pose optimization problem. Primarily, two different kinds of error values are used: photometric error and re-projection error. The selection of error value is usually directly dependent on the selection of feature paradigm, photometric features, or geometric features. It is a trade-off between accuracy, robustness, and the possibility of loop closing. We investigate a third method that combines the strengths of both paradigms into a unified approach. Using densely sampled geometric feature descriptors, we replace the photometric error with a descriptor residual from a dense set of descriptors, thereby enabling the employment of sub-pixel accuracy in differential photometric methods, along with the expressiveness of the geometric feature descriptor. Experiments show that although the proposed strategy is an interesting approach that results in accurate tracking, it ultimately does not outperform pose optimization strategies based on re-projection error despite utilizing more information. We proceed to analyze the underlying reason for this discrepancy and present the hypothesis that the descriptor similarity metric is too slowly varying and does not necessarily correspond strictly to keypoint placement accuracy.
title Differential pose optimization in descriptor space -- Combining Geometric and Photometric Methods for Motion Estimation
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2602.14297