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Abstract
Scalability represents a fundamental challenge in pose graph optimization for
SLAM systems. As new poses and constraints are continuously added during
map creation, the underlying graph progressively increases in size and density.
While global optimization is essential to ensure consistency, jointly optimizing
all accumulated constraints can lead to prohibitive computational costs, particularly in large-scale and real-time applications. This work explores hierarchical
initialization as a strategy to alleviate this limitation. By decomposing the
global optimization problem into structured subgraphs, hierarchical methods
provide a coarse but globally consistent estimate before refining the solution.
The HiPE framework was implemented and evaluated using two decomposition
strategies: Breadth-First Splitter (BFS) and Nested Dissection (ND). The approach was integrated within a nonlinear least-squares pipeline based on Ceres
Solver. Experimental validation was performed on datasets of varying structural complexity, using Absolute Trajectory Error (ATE) and execution time as
evaluation metrics. The results confirm that hierarchical initialization improves
convergence behavior and computational efficiency compared to full pose graph
optimization, particularly in dense graphs. BFS achieves the best performance
under optimal parameter settings, while ND demonstrates greater robustness
across configurations. The observed effectiveness of skeleton-only optimization
further supports the potential of hierarchical approaches as scalable solutions
for large-scale SLAM systems
Abstract
Scalability represents a fundamental challenge in pose graph optimization for
SLAM systems. As new poses and constraints are continuously added during
map creation, the underlying graph progressively increases in size and density.
While global optimization is essential to ensure consistency, jointly optimizing
all accumulated constraints can lead to prohibitive computational costs, particularly in large-scale and real-time applications. This work explores hierarchical
initialization as a strategy to alleviate this limitation. By decomposing the
global optimization problem into structured subgraphs, hierarchical methods
provide a coarse but globally consistent estimate before refining the solution.
The HiPE framework was implemented and evaluated using two decomposition
strategies: Breadth-First Splitter (BFS) and Nested Dissection (ND). The approach was integrated within a nonlinear least-squares pipeline based on Ceres
Solver. Experimental validation was performed on datasets of varying structural complexity, using Absolute Trajectory Error (ATE) and execution time as
evaluation metrics. The results confirm that hierarchical initialization improves
convergence behavior and computational efficiency compared to full pose graph
optimization, particularly in dense graphs. BFS achieves the best performance
under optimal parameter settings, while ND demonstrates greater robustness
across configurations. The observed effectiveness of skeleton-only optimization
further supports the potential of hierarchical approaches as scalable solutions
for large-scale SLAM systems
Tipologia del documento
Tesi di laurea
(Laurea magistrale)
Autore della tesi
Bettini, Giorgia
Relatore della tesi
Correlatore della tesi
Scuola
Corso di studio
Indirizzo
AUTOMATION ENGINEERING
Ordinamento Cds
DM270
Parole chiave
SLAM, Hierarchical Approach, Breadth First Splitter, Nested Dissection Splitter, Graph-Based
Data di discussione della Tesi
25 Marzo 2026
URI
Altri metadati
Tipologia del documento
Tesi di laurea
(NON SPECIFICATO)
Autore della tesi
Bettini, Giorgia
Relatore della tesi
Correlatore della tesi
Scuola
Corso di studio
Indirizzo
AUTOMATION ENGINEERING
Ordinamento Cds
DM270
Parole chiave
SLAM, Hierarchical Approach, Breadth First Splitter, Nested Dissection Splitter, Graph-Based
Data di discussione della Tesi
25 Marzo 2026
URI
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