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nervesenswithvideo
nervesenswithvideo
 
 
.gitattributes
.gitattributes
 
 
Beam_noisefree.m
Beam_noisefree.m
 
 
Cosserat_Milstein.m
Cosserat_Milstein.m
 
 
Cosserat_Milstein_Samples.m
Cosserat_Milstein_Samples.m
 
 
Cosserat_Simulation_Montecarlo.m
Cosserat_Simulation_Montecarlo.m
 
 
Cosserat_WeakRK.m
Cosserat_WeakRK.m
 
 
Cosserat_WeakRK_Samples.m
Cosserat_WeakRK_Samples.m
 
 
Cosserat_WeakRK_Samples_arbitrary.m
Cosserat_WeakRK_Samples_arbitrary.m
 
 
Cosserat_analytical.m
Cosserat_analytical.m
 
 
Cosserat_analytical_Montecarlo.m
Cosserat_analytical_Montecarlo.m
 
 
Cosserat_analytical_SDE.m
Cosserat_analytical_SDE.m
 
 
Cosserat_analytical_SDE_arbitrary.m
Cosserat_analytical_SDE_arbitrary.m
 
 
Cosserat_noisefree_approx.m
Cosserat_noisefree_approx.m
 
 
Cosserat_noisefree_approx_arbitrary.m
Cosserat_noisefree_approx_arbitrary.m
 
 
Cosserat_simulation.m
Cosserat_simulation.m
 
 
EB_analytical_Montecarlo.m
EB_analytical_Montecarlo.m
 
 
EBbeam_noisefree_approx.m
EBbeam_noisefree_approx.m
 
 
Fully_nonlin_Cosserat_Simulation_Montecarlo.m
Fully_nonlin_Cosserat_Simulation_Montecarlo.m
 
 
Fully_nonlin_Cosserat_simulation.m
Fully_nonlin_Cosserat_simulation.m
 
 
Fully_nonlin_nonlin_rod_assymbling_matrixs.m
Fully_nonlin_nonlin_rod_assymbling_matrixs.m
 
 
README.md
README.md
 
 
Tensorhelperdelta.m
Tensorhelperdelta.m
 
 
Tensorhelpervarepsi.m
Tensorhelpervarepsi.m
 
 
check_null_space_of_cable.m
check_null_space_of_cable.m
 
 
direct_compute_cable_strain_E_tau_tau.m
direct_compute_cable_strain_E_tau_tau.m
 
 
fully_nonlinear_least_square_solve_darboux.m
fully_nonlinear_least_square_solve_darboux.m
 
 
generate_MSF_kinematics.m
generate_MSF_kinematics.m
 
 
generate_MSF_strains.m
generate_MSF_strains.m
 
 
get_cable_direction_on_x_tau_k.m
get_cable_direction_on_x_tau_k.m
 
 
get_cable_direction_on_z_tau_k.m
get_cable_direction_on_z_tau_k.m
 
 
get_cable_location_x_k.m
get_cable_location_x_k.m
 
 
get_contravar_on_z_G_ij.m
get_contravar_on_z_G_ij.m
 
 
get_frenet_frame_from_cart.m
get_frenet_frame_from_cart.m
 
 
get_green_deform_grad_thirdcomp_on_x_F_i3.m
get_green_deform_grad_thirdcomp_on_x_F_i3.m
 
 
get_ini_darboux_strain_u0_k_and_v0_k.m
get_ini_darboux_strain_u0_k_and_v0_k.m
 
 
get_jacobain_J.m
get_jacobain_J.m
 
 
get_on_x_E_ij.m
get_on_x_E_ij.m
 
 
get_on_z_E_ij_nonlinear.m
get_on_z_E_ij_nonlinear.m
 
 
get_partial_D_ik_partial_s.m
get_partial_D_ik_partial_s.m
 
 
get_rhs_for_vecP.m
get_rhs_for_vecP.m
 
 
interpstrainneversens.m
interpstrainneversens.m
 
 
nervesesens.m
nervesesens.m
 
 
nonlin_rod_assymbling_matrixs.m
nonlin_rod_assymbling_matrixs.m
 
 
nonlin_rod_assymbling_matrixs_arbitrary.m
nonlin_rod_assymbling_matrixs_arbitrary.m
 
 
nonlinear_get_error_matrix.m
nonlinear_get_error_matrix.m
 
 
nonlinear_get_error_matrix_arbitrary.m
nonlinear_get_error_matrix_arbitrary.m
 
 
nonlinear_least_square_solve_darboux.m
nonlinear_least_square_solve_darboux.m
 
 
nonlinear_least_square_solve_darboux_arbitrary.m
nonlinear_least_square_solve_darboux_arbitrary.m
 
 
nonlinear_least_square_solve_darboux_helper.m
nonlinear_least_square_solve_darboux_helper.m
 
 
on_tau_strain.m
on_tau_strain.m
 
 
partial_cablestrain_partial_darboux.m
partial_cablestrain_partial_darboux.m
 
 
plotbiasanderror.m
plotbiasanderror.m
 
 
processvideonervesens.m
processvideonervesens.m
 
 
rand2pmat.m
rand2pmat.m
 
 
rand3p.m
rand3p.m
 
 
readnervesensvithvideo.m
readnervesensvithvideo.m
 
 
readneversens.m
readneversens.m
 
 
rotate_in_plane_rod.m
rotate_in_plane_rod.m
 
 

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Shape-sensing-matlab-code

This is a matlab shape-sensing code using cosserat rod theory with SDE.

Our paper: Cosserat rod-based modeling and stochastic analysis for distributed fiber optics shape-sensing.

🚀 Features

  • DFOS Shape-sensing based on cosserat rod theory.
  • Stochastic model quantifies shape-sensing error propagation.
  • Error bounds for position vectors.

🛠️ Installation

Matlab 2020+

Run nervesesens.m in matlab to see an example of using this code.

Watch the Shape Sensing Short Video on YouTube by clicking the video below.

Watch the Shape Sensing Short Video on YouTube

About

A matlab shape-sensing code using cosserat rod theory with SDE.

doi.org/10.1016/j.ymssp.2025.113457

Topics

stochastic-differential-equations shape-sensing numerical-stochastic-differential-equations

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