Smoothing Out the Edges: Continuous-Time Estimation with Gaussian Process Motion Priors on Factor Graphs

Fuente: arXiv
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Autori principali: Holmes, Connor, Lilge, Sven, Guo, Zi Cong, Dellaert, Frank, Barfoot, Timothy D.
Natura: Preprint
Pubblicazione: 2026
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author Holmes, Connor
Lilge, Sven
Guo, Zi Cong
Dellaert, Frank
Barfoot, Timothy D.
author_facet Holmes, Connor
Lilge, Sven
Guo, Zi Cong
Dellaert, Frank
Barfoot, Timothy D.
contents Continuous-time state estimation is gaining in popularity due to its abilities to provide smooth solutions, handle asynchronous sensors, and interpolate between data points. While there are two main paradigms, parametric (e.g., temporal basis functions, splines) and nonparametric (Gaussian processes), the latter has seen less adoption despite its technical advantages and relative ease of implementation. In this article, we seek to rectify this situation by providing a new simplified explanation of GP continuous-time estimation rooted in the language of factor graphs, which have become the de facto estimation paradigm in much of robotics. To simplify onboarding, we also provide three working examples implemented in the popular GTSAM estimation framework.
format Preprint
id arxiv_https___arxiv_org_abs_2605_09073
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Smoothing Out the Edges: Continuous-Time Estimation with Gaussian Process Motion Priors on Factor Graphs
Holmes, Connor
Lilge, Sven
Guo, Zi Cong
Dellaert, Frank
Barfoot, Timothy D.
Robotics
Continuous-time state estimation is gaining in popularity due to its abilities to provide smooth solutions, handle asynchronous sensors, and interpolate between data points. While there are two main paradigms, parametric (e.g., temporal basis functions, splines) and nonparametric (Gaussian processes), the latter has seen less adoption despite its technical advantages and relative ease of implementation. In this article, we seek to rectify this situation by providing a new simplified explanation of GP continuous-time estimation rooted in the language of factor graphs, which have become the de facto estimation paradigm in much of robotics. To simplify onboarding, we also provide three working examples implemented in the popular GTSAM estimation framework.
title Smoothing Out the Edges: Continuous-Time Estimation with Gaussian Process Motion Priors on Factor Graphs
topic Robotics
url https://arxiv.org/abs/2605.09073