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1 g2o:·A·general·Framework·for·(Hyper)·Graph·Optimization1 g2o:·A·general·Framework·for·(Hyper)·Graph·Optimization
2 Giorgio·Grisetti,·Rainer·Kümmerle,·Hauke·Strasdat,·Kurt·Konolige2 Giorgio·Grisetti,·Rainer·Kümmerle,·Hauke·Strasdat,·Kurt·Konolige
3 email:·{grisetti,kuemmerl}@informatik.uni-freiburg.de3 email:·{grisetti,kuemmerl}@informatik.uni-freiburg.de
4 strasdat@gmail.com·konolige@willowgarage.com4 strasdat@gmail.com·konolige@willowgarage.com
5 November·8,·20245 December·12,·2025
6 In·this·document·we·describe·a·C++·framework·for·performing·the·optimization·of·nonlinear·least6 In·this·document·we·describe·a·C++·framework·for·performing·the·optimization·of·nonlinear·least
7 squares·problems·that·can·be·embedded·as·a·graph·or·in·a·hyper-graph.·A·hyper-graph·is·an·extension7 squares·problems·that·can·be·embedded·as·a·graph·or·in·a·hyper-graph.·A·hyper-graph·is·an·extension
8 of·a·graph·where·an·edge·can·connect·multiple·nodes·and·not·only·two.·Several·problems·in·robotics·and8 of·a·graph·where·an·edge·can·connect·multiple·nodes·and·not·only·two.·Several·problems·in·robotics·and
9 in·computer·vision·require·to·find·the·optimum·of·an·error·function·with·respect·of·a·set·of·parameters.9 in·computer·vision·require·to·find·the·optimum·of·an·error·function·with·respect·of·a·set·of·parameters.
10 Examples·include,·popular·applications·like·SLAM·and·Bundle·adjustment.10 Examples·include,·popular·applications·like·SLAM·and·Bundle·adjustment.
11 In·the·literature,·many·approaches·have·been·proposed·to·address·this·class·of·problems.·The·naive11 In·the·literature,·many·approaches·have·been·proposed·to·address·this·class·of·problems.·The·naive
12 implementation·of·standard·methods,·like·Levenberg-Marquardt·or·Gauss-Newton·can·lead·to·acceptable12 implementation·of·standard·methods,·like·Levenberg-Marquardt·or·Gauss-Newton·can·lead·to·acceptable
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147 ········['../structPlaneSensor.html#a21b2442992f9a0a0dd2c073008c37ebf',·1,·'PlaneSensor::sense()'],147 ········['../structPlaneSensor.html#a21b2442992f9a0a0dd2c073008c37ebf',·1,·'PlaneSensor::sense()'],
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16 ········['../types_2slam2d_2se2_8h.html',·1,·'(Global·Namespace)']16 ········['../examples_2tutorial__slam2d_2se2_8h.html',·1,·'(Global·Namespace)']
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18 ····['se3_5fops_2eh_14',·['se3_ops.h',·['../se3__ops_8h.html',·1,·'']]],18 ····['se3_5fops_2eh_14',·['se3_ops.h',·['../se3__ops_8h.html',·1,·'']]],
19 ····['se3_5fops_2ehpp_15',·['se3_ops.hpp',·['../se3__ops_8hpp.html',·1,·'']]],19 ····['se3_5fops_2ehpp_15',·['se3_ops.hpp',·['../se3__ops_8hpp.html',·1,·'']]],
20 ····['se3quat_2eh_16',·['se3quat.h',·['../se3quat_8h.html',·1,·'']]],20 ····['se3quat_2eh_16',·['se3quat.h',·['../se3quat_8h.html',·1,·'']]],
21 ····['sensor_5fline3d_2ecpp_17',·['sensor_line3d.cpp',·['../sensor__line3d_8cpp.html',·1,·'']]],21 ····['sensor_5fline3d_2ecpp_17',·['sensor_line3d.cpp',·['../sensor__line3d_8cpp.html',·1,·'']]],
22 ····['sensor_5fline3d_2eh_18',·['sensor_line3d.h',·['../sensor__line3d_8h.html',·1,·'']]],22 ····['sensor_5fline3d_2eh_18',·['sensor_line3d.h',·['../sensor__line3d_8h.html',·1,·'']]],
23 ····['sensor_5fodometry_2eh_19',·['sensor_odometry.h',·['../sensor__odometry_8h.html',·1,·'']]],23 ····['sensor_5fodometry_2eh_19',·['sensor_odometry.h',·['../sensor__odometry_8h.html',·1,·'']]],
Offset 51, 16 lines modifiedOffset 51, 16 lines modified
51 ····['sensor_5fsegment2d_5fline_2eh_47',·['sensor_segment2d_line.h',·['../sensor__segment2d__line_8h.html',·1,·'']]],51 ····['sensor_5fsegment2d_5fline_2eh_47',·['sensor_segment2d_line.h',·['../sensor__segment2d__line_8h.html',·1,·'']]],
52 ····['sensor_5fsegment2d_5fpointline_2ecpp_48',·['sensor_segment2d_pointline.cpp',·['../sensor__segment2d__pointline_8cpp.html',·1,·'']]],52 ····['sensor_5fsegment2d_5fpointline_2ecpp_48',·['sensor_segment2d_pointline.cpp',·['../sensor__segment2d__pointline_8cpp.html',·1,·'']]],
53 ····['sensor_5fsegment2d_5fpointline_2eh_49',·['sensor_segment2d_pointline.h',·['../sensor__segment2d__pointline_8h.html',·1,·'']]],53 ····['sensor_5fsegment2d_5fpointline_2eh_49',·['sensor_segment2d_pointline.h',·['../sensor__segment2d__pointline_8h.html',·1,·'']]],
54 ····['sim3_2eh_50',·['sim3.h',·['../sim3_8h.html',·1,·'']]],54 ····['sim3_2eh_50',·['sim3.h',·['../sim3_8h.html',·1,·'']]],
55 ····['simple_5foptimize_2ecpp_51',·['simple_optimize.cpp',·['../simple__optimize_8cpp.html',·1,·'']]],55 ····['simple_5foptimize_2ecpp_51',·['simple_optimize.cpp',·['../simple__optimize_8cpp.html',·1,·'']]],
56 ····['simple_5fstar_5fops_2ecpp_52',·['simple_star_ops.cpp',·['../simple__star__ops_8cpp.html',·1,·'']]],56 ····['simple_5fstar_5fops_2ecpp_52',·['simple_star_ops.cpp',·['../simple__star__ops_8cpp.html',·1,·'']]],
57 ····['simple_5fstar_5fops_2eh_53',·['simple_star_ops.h',·['../simple__star__ops_8h.html',·1,·'']]],57 ····['simple_5fstar_5fops_2eh_53',·['simple_star_ops.h',·['../simple__star__ops_8h.html',·1,·'']]],
58 ····['simulator_2ecpp_54',·['simulator.cpp',·['../examples_2tutorial__slam2d_2simulator_8cpp.html',·1,·'(Global·Namespace)'],58 ····['simulator_2ecpp_54',·['simulator.cpp',·['../apps_2g2o__simulator_2simulator_8cpp.html',·1,·'(Global·Namespace)'],
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65 ····['simulator2d_5fbase_2eh_57',·['simulator2d_base.h',·['../simulator2d__base_8h.html',·1,·'']]],65 ····['simulator2d_5fbase_2eh_57',·['simulator2d_base.h',·['../simulator2d__base_8h.html',·1,·'']]],
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