From b66673d61df80d009458d0da9378a089bcda77f6 Mon Sep 17 00:00:00 2001
From: "Ciccarelli, Edoardo (PG/R - Comp Sci & Elec Eng)"
 <e.ciccarelli@surrey.ac.uk>
Date: Fri, 17 Mar 2023 16:03:30 +0000
Subject: [PATCH] Creata function per lista osservabili

---
 CovarianceAnalysisParameters.m | 105 +++++++++++++++++++++++++
 Observations_Generation.m      |  36 +++++----
 Observations_with_features.m   | 136 +++++++++++----------------------
 PlotGeometryAndLight.m         |  43 +++++++++++
 Plotfeatures_Pic.m             |  15 ++++
 Principal_Phobos.mat           | Bin 0 -> 83538 bytes
 Principal_Phobos_Ogni10.mat    | Bin 0 -> 8625 bytes
 Principal_Phobos_Ogni2.mat     | Bin 0 -> 41977 bytes
 Principal_Phobos_Ogni5.mat     | Bin 0 -> 16950 bytes
 visible_features.m             |  67 +++++-----------
 10 files changed, 244 insertions(+), 158 deletions(-)
 create mode 100644 CovarianceAnalysisParameters.m
 create mode 100644 PlotGeometryAndLight.m
 create mode 100644 Plotfeatures_Pic.m
 create mode 100644 Principal_Phobos.mat
 create mode 100644 Principal_Phobos_Ogni10.mat
 create mode 100644 Principal_Phobos_Ogni2.mat
 create mode 100644 Principal_Phobos_Ogni5.mat

diff --git a/CovarianceAnalysisParameters.m b/CovarianceAnalysisParameters.m
new file mode 100644
index 0000000..3c31b03
--- /dev/null
+++ b/CovarianceAnalysisParameters.m
@@ -0,0 +1,105 @@
+function [pars, units] = CovarianceAnalysisParameters(pars, units)
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% [pars, units] = New_MMX_CovarianceAnalysisParameters(pars, units)
+%
+% This function adds some units and parameters useful to the covariance
+% analysis
+% 
+% Inputs:
+% pars          Structure which contains parameters
+% units         Structure with units 
+% 
+% Outputs:
+% pars.ObsNoise             Observations noises standard deviation
+% pars.ObsNoise.range       Standard deviation of the relative distance measure
+% pars.ObsNoise.range_rate  Standard deviation of the relative velocity measure
+% pars.ObsNoise.lidar       Standard deviation of the lidar measure
+% pars.ObsNoise.camera      Standard deviation of the camera measure
+% pars.interval             Seconds between observations
+% pars.Clm                  Vector with all the Clm coefficients
+% pars.Slm                  Vector with all the Slm coefficients
+% pars.nCoeff               Number of the harmonics coefficients
+% pars.P0                   A-priori covariance
+% pars.sigma                PN diffusion coefficient
+%
+% units.Dim                 Vector of normalizing units [sfVec, sfVec, ones(pars.nCoeff,1)]
+% units.CovDim              Matrix of normalizing units
+%
+% Author: STAG Team
+% Date: Jun 2021
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% 
+
+%% Parameters
+    
+% Observation noise
+pars.ObsNoise.range     = 5e-3/units.lsf;         % [km]
+pars.ObsNoise.range_rate= 5e-7/units.vsf;         % [km/s]
+pars.ObsNoise.lidar     = 1e-2/units.lsf;         % [km]
+
+cam.f       = 15;                       %[mm]
+cam.nPixX   = 3296;                     %[n. pixel]
+cam.nPixY   = 2472;                     %[n. pixel]
+cam.Res     = 100;
+cam.SixeX   = 36;                       %[mm]
+cam.SixeY   = 24;                       %[mm]
+cam.pixARx  = 1;
+cam.pixARy  = 1;
+pars.camera_intrinsic = IntrinsicParameters(cam);
+pars.FOV = deg2rad(45);
+pixels  = 2048;
+
+pars.ObsNoise.camera   = pars.FOV/pixels;   % [rad/pixel]
+pars.ObsNoise.pixel    = 1;                 % [n. pixel]
+
+
+% Useful to adimensionalize the observables
+units.Observations = [units.lsf; units.vsf; units.lsf; units.vsf; units.lsf; units.vsf; units.lsf; 1; 1];
+
+% Matrix of the observation noise
+pars.R      = zeros(9,9);
+pars.R(1,1) = pars.ObsNoise.range^2;
+pars.R(2,2) = pars.ObsNoise.range_rate^2;
+pars.R(3,3) = pars.ObsNoise.range^2;
+pars.R(4,4) = pars.ObsNoise.range_rate^2;
+pars.R(5,5) = pars.ObsNoise.range^2;
+pars.R(6,6) = pars.ObsNoise.range_rate^2;
+pars.R(7,7) = pars.ObsNoise.lidar^2;
+pars.R(8,8) = pars.ObsNoise.camera^2;
+pars.R(9,9) = pars.ObsNoise.camera^2;
+
+% Seconds between observation
+pars.interval_Range         = 3600;     % s
+pars.interval_Range_rate    = 600;      % s
+pars.interval_lidar         = 100;      % s
+pars.interval_camera        = 3600;     % s
+
+
+pars.cutoffLIDAR    = 200;  % km
+pars.elevation      = 80;   % deg
+
+% Gravitational harmonics' parameters
+pars.I2 = [pars.IPhx_bar; pars.IPhy_bar; pars.IPhz_bar];
+
+% Measurements biases
+bias = [0; 0; 0]...
+    ./[units.lsf; units.vsf; units.lsf];
+pars.bias = bias;
+
+% Unit vector and parameters number useful for later use
+pars.nCoeff     = size(pars.I2,1);
+pars.nBias      = size(bias,1);
+units.Dim       = [units.sfVec; units.lsf; units.vsf; 1; units.tsf;...
+     1; units.tsf; 1; units.tsf; ones(pars.nCoeff,1); units.lsf; units.vsf;...
+     units.lsf];
+units.CovDim    = (repmat(units.Dim, 1, length(units.Dim)).*...
+    repmat(units.Dim', length(units.Dim), 1));
+
+
+% A-priori covariance
+pars.P0         = diag(([.3*ones(3,1); .3e-3*ones(3,1);...    
+    1e-1; 1e-4; 1e-5; 1e-7; 3e-1; 1e-3; 3e-1; 1e-3; 1e-2*ones(pars.nCoeff,1);...
+    1; 1e-3; 1]./units.Dim).^2);
+
+end
\ No newline at end of file
diff --git a/Observations_Generation.m b/Observations_Generation.m
index 114a8af..708b8df 100644
--- a/Observations_Generation.m
+++ b/Observations_Generation.m
@@ -25,32 +25,30 @@ clc
     
 
     %   Time of the analysis
-    data        = '2026-03-16 13:00:00 (UTC)';
+    data        = '2026-03-21 00:00:00 (UTC)';
     data        = cspice_str2et(data);
-    
+    Ndays       = 1;
+    t           = Ndays*86400;
+    date_end    = data+t;
+
 %   Model parameters
-    [par, units] = MMX_DefineNewModelParametersAndUnits;
+    [pars, units] = MMX_DefineNewModelParametersAndUnits;
 
 %   Covariance analysis parameters
-    par.et0      = data;
-    [par, units] = New_MMX_CovarianceAnalysisParameters(par, units);
+    pars.et0      = data;
+    [pars, units] = CovarianceAnalysisParameters(pars, units);
+    
     
-    cam.f       = 15;                       %[mm]
-    cam.nPixX   = 3296;                     %[n. pixel]
-    cam.nPixY   = 2472;                     %[n. pixel]
-    cam.Res     = 100;
-    cam.SixeX   = 36;                       %[mm]
-    cam.SixeY   = 24;                       %[mm]
-    cam.pixARx  = 1;
-    cam.pixARy  = 1;
-    par.camera_intrinsic = IntrinsicParameters(cam);
-    par.FOV = deg2rad(30);
-
-    %   Positin of my target bodies at that date
+%   Positin of my target bodies at that date
     Sun     = cspice_spkezr('10', data, 'J2000', 'none', 'MARS');
     MMX     = cspice_spkezr('-34', data, 'J2000', 'none', 'MARS');
     Phobos  = cspice_spkezr('-401', data, 'J2000', 'none', 'MARS');
     Phi     = deg2rad(0);
 
-    [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi,...
-        'Principal_Phobos_Ogni5.mat', par, units);
+%     [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi,...
+%         'Principal_Phobos_Ogni10.mat', par, units);
+
+    file_features = 'Principal_Phobos_Ogni2.mat';
+    YObs = Observations_with_features(data, date_end, file_features, pars, units);
+
+%     Plotfeatures_Pic(YObs(685).Features, pars)
diff --git a/Observations_with_features.m b/Observations_with_features.m
index ed31bb5..a72a4cb 100644
--- a/Observations_with_features.m
+++ b/Observations_with_features.m
@@ -1,4 +1,4 @@
-function YObs_Full = Observations_with_features(date0, date_end, pars, units)
+function YObs = Observations_with_features(date0, date_end, file_features, pars, units)
 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
 %
 % dx = Mars_Phobos_Circular_FullState(t,x,pars)
@@ -35,7 +35,6 @@ function YObs_Full = Observations_with_features(date0, date_end, pars, units)
     sigma_range      = pars.ObsNoise.range*units.lsf;
     sigma_range_rate = pars.ObsNoise.range_rate*units.vsf;
     sigma_lidar      = pars.ObsNoise.lidar*units.lsf;
-    sigma_cam        = pars.ObsNoise.camera;
     
     
 %%  Observations
@@ -43,7 +42,7 @@ function YObs_Full = Observations_with_features(date0, date_end, pars, units)
     et0             = date0;
     et_end          = date_end;
     
-    YObs_Full       = [];
+    YObs       = [];
     
     min_interval    = min([interval_Range; interval_Range_rate; interval_lidar; interval_camera]);
     
@@ -53,33 +52,6 @@ function YObs_Full = Observations_with_features(date0, date_end, pars, units)
         got_it          = 0;
        
 
-%--------------------------------------------------------------------------
-%       CAMERA OBSERVABLE
-%--------------------------------------------------------------------------
-
-        
-%       Check if Phobos is in light or not
-        Phobos  = cspice_spkezr('-401', i, 'J2000', 'none', 'SUN');
-        MMX     = cspice_spkezr('-34', i, 'J2000', 'none', 'SUN');
-        R_PS    = -Phobos(1:3)/norm(Phobos(1:3));
-        R_MMXP  = (MMX(1:3) - Phobos(1:3))/norm(MMX(1:3) - Phobos(1:3));
-        
-%       Is Mars between Phobos and the Sun?
-        check3   = cspice_occult('-401','POINT',' ',...
-         '499','ELLIPSOID','IAU_MARS','none','SUN',i);
-        
-        if (dot(R_MMXP,R_PS)>0)&&(check3>=0)&&(rem(round(i-et0),interval_camera)==0)
-            
-            Y = visible_features(i, pars.file_features, pars, units);
-            
-            
-
-            got_it = 1;
-        else
-            Y = [NaN; NaN];
-        end
-     
-
 %--------------------------------------------------------------------------
 %       LIDAR OBSERVABLES WRT PHOBOS SURFACE
 %--------------------------------------------------------------------------
@@ -197,6 +169,37 @@ function YObs_Full = Observations_with_features(date0, date_end, pars, units)
         end   
         
 
+%--------------------------------------------------------------------------
+%       CAMERA OBSERVABLE
+%--------------------------------------------------------------------------
+
+        
+%       Check if Phobos is in light or not
+        Phobos  = cspice_spkezr('-401', i, 'J2000', 'none', 'SUN');
+        MMX     = cspice_spkezr('-34', i, 'J2000', 'none', 'SUN');
+        R_PS    = -Phobos(1:3)/norm(Phobos(1:3));
+        R_MMXP  = (MMX(1:3) - Phobos(1:3))/norm(MMX(1:3) - Phobos(1:3));
+        
+%       Is Mars between Phobos and the Sun?
+        check3   = cspice_occult('-401','POINT',' ',...
+         '499','ELLIPSOID','IAU_MARS','none','SUN',i);
+        
+        if (dot(R_MMXP,R_PS)>0)&&(check3>=0)&&(rem(round(i-et0),interval_camera)==0)
+            
+            Sun     = cspice_spkezr('10', i, 'J2000', 'none', 'MARS');
+            MMX     = cspice_spkezr('-34', i, 'J2000', 'none', 'MARS');
+            Phobos  = cspice_spkezr('-401', i, 'J2000', 'none', 'MARS');
+            Phi     = deg2rad(0);
+
+            [~, Y_pix] = visible_features(MMX, Phobos, Sun, Phi,...
+                file_features, pars, units);
+            got_it = 1;
+
+        else
+            Y_LOS = [];
+            Y_pix = [];
+        end
+     
 
 %--------------------------------------------------------------------------
 %       NEW LINE SETUP
@@ -204,70 +207,17 @@ function YObs_Full = Observations_with_features(date0, date_end, pars, units)
 
 
         if (got_it == 1)
-            YObs_Full   = [YObs_Full, [i-et0; R_Cam; R_dot_Cam; R_Gold; R_dot_Gold; R_Mad; R_dot_Mad; Lidar; Y]];
+            Obs.t       = i-et0; 
+            DSN         = [R_Cam; R_dot_Cam; R_Gold; R_dot_Gold; R_Mad; R_dot_Mad];
+            if sum(~isnan(DSN))>0
+                Obs.DSN = [R_Cam; R_dot_Cam; R_Gold; R_dot_Gold; R_Mad; R_dot_Mad];
+            else
+                Obs.DSN = [];
+            end
+            Obs.Lidar   = Lidar;
+            Obs.Features= Y_pix;
+            YObs   = [YObs; Obs];
         end
     end
     
-%     fclose(fileID);
-
-%%  Plot of the data
-
-set(0,'DefaultTextInterpreter','latex');
-set(0,'DefaultAxesFontSize', 16);
-
-% Observables
-
-DSN_Cam   = [];
-DSN_GS    = [];
-DSN_Mad   = [];
-
-for i = 1:size(YObs_Full,2)
-
-    DSN_Cam   = [DSN_Cam, [YObs_Full(1,i); YObs_Full(2:3,i)]];
-    DSN_GS    = [DSN_GS, [YObs_Full(1,i); YObs_Full(4:5,i)]];
-    DSN_Mad   = [DSN_Mad, [YObs_Full(1,i); YObs_Full(6:7,i)]];
-
-end
-
-
-figure()
-
-subplot(2,1,1)
-plot(DSN_Cam(1,:)/3600,DSN_Cam(2,:),'*','Color','b')
-grid on; hold on;
-plot(DSN_GS(1,:)/3600,DSN_GS(2,:),'*','Color','r')
-plot(DSN_Mad(1,:)/3600,DSN_Mad(2,:),'*','Color','g')
-ylabel('Range [km]');
-xlabel('Time [hour]')
-legend('Camberra','GoldStone','Madrid')
-
-subplot(2,1,2)
-plot(DSN_Cam(1,:)/3600,DSN_Cam(3,:),'*','Color','b')
-grid on; hold on;
-plot(DSN_GS(1,:)/3600,DSN_GS(3,:),'*','Color','r')
-plot(DSN_Mad(1,:)/3600,DSN_Mad(3,:),'*','Color','g')
-ylabel('Range Rate [km/s]');
-xlabel('Time [hour]')
-legend('Camberra','GoldStone','Madrid')
-
-figure()
-plot(YObs_Full(1,:)/3600,YObs_Full(8,:),'*')
-grid on; hold on;
-ylabel('Lidar [km]');
-xlabel('Time [hour]')
-
-figure()
-subplot(2,1,1)
-plot(YObs_Full(1,:)/3600,YObs_Full(9,:),'*')
-grid on; hold on;
-ylabel('Cam1 [rad]');
-xlabel('Time [hour]')
-
-subplot(2,1,2)
-plot(YObs_Full(1,:)/3600,YObs_Full(10,:),'*')
-grid on; hold on;
-ylabel('Cam2 [rad]');
-xlabel('Time [hour]')
- 
-    
 end
\ No newline at end of file
diff --git a/PlotGeometryAndLight.m b/PlotGeometryAndLight.m
new file mode 100644
index 0000000..2fd3a9b
--- /dev/null
+++ b/PlotGeometryAndLight.m
@@ -0,0 +1,43 @@
+function PlotGeometryAndLight(points, point_in_light, visible, r_sb_Ph, r_PhSun, pars, units)
+
+
+%   Rotation matrix from Phobos to the camera lens
+    i_feat  = r_sb_Ph/norm(r_sb_Ph);
+    v       = [0; 0; 1];
+    j       = cross(v, i_feat)/norm(cross(v, i_feat));
+    k       = cross(i_feat, j)/norm(cross(i_feat, j));
+    
+    T       = [i_feat, j, k]';
+
+%   In the CV world si usa questa convenzione, l'asse Z della camera è
+%   quello che esce dal piatto
+    R_bCam2CV   = [0, 0, 1; 0, 1, 0; -1, 0, 0];
+    R_CV        = R_bCam2CV*T;
+
+
+    figure()
+    grid on
+    axis equal
+    hold on
+    plot3(points(1,:), points(2,:), points(3,:),'.','Color','b')
+    plot3(point_in_light(1,:), point_in_light(2,:), point_in_light(3,:), 'x','Color','g')
+    if ~isempty(visible)
+        plot3(visible(1,:), visible(2,:), visible(3,:), 'o','Color','r')
+        for n = 1:size(visible,2)    
+            r_sf    = r_sb_Ph - visible(:,n);
+            LOS     = -r_sf/norm(r_sf);
+            quiver3(r_sb_Ph(1),r_sb_Ph(2),r_sb_Ph(3),LOS(1)*units.lsf,LOS(2)*units.lsf,LOS(3)*units.lsf);
+        end
+    end
+    xlabel('X','FontSize',16,'Interpreter','latex')
+    ylabel('Y','FontSize',16,'Interpreter','latex')
+    zlabel('Z','FontSize',16,'Interpreter','latex')
+    quiver3(-2*r_PhSun(1)*units.lsf,-2*r_PhSun(2)*units.lsf,-2*r_PhSun(3)*units.lsf,...
+        r_PhSun(1)*units.lsf,r_PhSun(2)*units.lsf,r_PhSun(3)*units.lsf,'LineWidth',1.5,'Color','g')
+    plot3(-2*r_PhSun(1)*units.lsf,-2*r_PhSun(2)*units.lsf,-2*r_PhSun(3)*units.lsf, '*','Color','g','MarkerSize',20)
+    quiver3(r_sb_Ph(1),r_sb_Ph(2),r_sb_Ph(3),...
+        -r_sb_Ph(1)/units.tsf,-r_sb_Ph(2)/units.tsf,-r_sb_Ph(3)/units.tsf,'LineWidth',1.5,'Color','r')
+    plotCamera('location',r_sb_Ph,'orientation',R_CV,'Color','r')
+
+
+end
\ No newline at end of file
diff --git a/Plotfeatures_Pic.m b/Plotfeatures_Pic.m
new file mode 100644
index 0000000..1df6837
--- /dev/null
+++ b/Plotfeatures_Pic.m
@@ -0,0 +1,15 @@
+function Plotfeatures_Pic(Y_pix, pars)
+
+
+    figure()
+    grid on
+    axis equal
+    hold on
+    plot(Y_pix(1,:), Y_pix(2,:), 'o', 'Color', 'r');
+    xlabel('X','FontSize',16,'Interpreter','latex')
+    ylabel('Y','FontSize',16,'Interpreter','latex')
+    xlim([0, 2*pars.camera_intrinsic(3,1)])
+    ylim([0, 2*pars.camera_intrinsic(3,2)])
+
+
+end
\ No newline at end of file
diff --git a/Principal_Phobos.mat b/Principal_Phobos.mat
new file mode 100644
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diff --git a/Principal_Phobos_Ogni10.mat b/Principal_Phobos_Ogni10.mat
new file mode 100644
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diff --git a/Principal_Phobos_Ogni2.mat b/Principal_Phobos_Ogni2.mat
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diff --git a/visible_features.m b/visible_features.m
index b9d58d1..4c437f4 100644
--- a/visible_features.m
+++ b/visible_features.m
@@ -22,7 +22,12 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
 %   Features defined in the Phobos-fixed reference frame
     load(file_features);
     R_ini   = [0, -1, 0; 1, 0, 0; 0, 0, 1];
-    points  = R_ini*Point_Cloud';
+    Point_Clooud  = R_ini*Point_Cloud';
+    points = zeros(4,size(Point_Clooud,2));
+
+    for n = 1:size(points,2)
+        points(:,n) = [Point_Clooud(:,n); n];
+    end
 
 
 %%  Identification of the features that are in light
@@ -50,14 +55,15 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
 %       If the dot product of the incoming light ray and the feature
 %       position vector in the Phobos-fixed ref frame is less than zero,
 %       then it is in light
-        if dot(r_PhSun, points(:,n))<0
+        if dot(r_PhSun, points(1:3,n))<0
             point_in_light = [points(:,n), point_in_light];
         end
     end
 
     
 
-%%   Between those features, which ones are inside the FOV?
+%%  Between those features, which ones are inside the FOV?
+
 
 %   Position of MMX wrt Phobos-fixed frame
     
@@ -65,8 +71,8 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
     R_sb    = norm(r_sb);
     r_sb_Ph = RLibration*R2rot*r_sb;
 
-%   Rotation matrix from Phobos to the camera les
-    i_feat       = r_sb_Ph/R_sb;
+%   Rotation matrix from Phobos to the camera lens
+    i_feat  = r_sb_Ph/R_sb;
     v       = [0; 0; 1];
     j       = cross(v, i_feat)/norm(cross(v, i_feat));
     k       = cross(i_feat, j)/norm(cross(i_feat, j));
@@ -78,10 +84,6 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
     R_bCam2CV   = [0, 0, 1; 0, 1, 0; -1, 0, 0];
     R_CV        = R_bCam2CV*T;
 
-%     [M_int, M_ext, PM] = ProjMatrix(r_sb_Ph, pars, units);
-
-
-
     visible = [];
     Y_LOS   = [];
     Y_pix   = [];
@@ -90,7 +92,7 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
     I   = i_feat;
 
     for n = 1:size(point_in_light,2)
-        candidate = point_in_light(:,n);
+        candidate = point_in_light(1:3,n);
 
         r_sf = r_sb_Ph - candidate;
         
@@ -101,52 +103,25 @@ function [Y_LOS, Y_pix] = visible_features(MMX, Phobos, Sun, Phi, file_features,
 
         angle   = acos(dot(I,-i_feat));
 
-        if (angle<pars.FOV)&&(dot(r_sb_Ph, point_in_light(:,n))>0)
+        if (angle<pars.FOV)&&(dot(r_sb_Ph, point_in_light(1:3,n))>0)
             visible     = [candidate, visible];
             LOS_feat    = [y_cam'; z_cam'] * r_sf/norm(r_sf) + [random('Normal',0, pars.ObsNoise.camera);...
                                random('Normal',0, pars.ObsNoise.camera)];
-            Y_LOS = [LOS_feat, Y_LOS];
+            Y_LOS = [[LOS_feat; point_in_light(end,n)], Y_LOS];
 
             [~, ~, PM]  = ProjMatrix(-r_sb_Ph, pars, units);
             pix_feat    = PM*[-candidate; 1];
             pix_feat    = pix_feat./repmat(pix_feat(3),3,1);
-            Y_pix = [[ceil(pix_feat(1:2)+ [random('Normal',0, 1); random('Normal',0, 1)]); candidate(end)], Y_pix];
+            Y_pix = [[ceil(pix_feat(1:2)+ [random('Normal',0, pars.ObsNoise.pixel);...
+                random('Normal',0, pars.ObsNoise.pixel)]); point_in_light(end,n)], Y_pix];
 
         end
     end
 
-    figure()
-    grid on
-    axis equal
-    hold on
-    plot3(points(1,:), points(2,:), points(3,:),'.','Color','b')
-    plot3(point_in_light(1,:), point_in_light(2,:), point_in_light(3,:), 'x','Color','g')
-    if ~isempty(visible)
-        plot3(visible(1,:), visible(2,:), visible(3,:), 'o','Color','r')
-        for n = 1:size(visible,2)    
-            r_sf    = r_sb_Ph - visible(:,n);
-            LOS     = -r_sf/norm(r_sf);
-            quiver3(r_sb_Ph(1),r_sb_Ph(2),r_sb_Ph(3),LOS(1)*units.lsf,LOS(2)*units.lsf,LOS(3)*units.lsf);
-        end
-    end
-    xlabel('X','FontSize',16,'Interpreter','latex')
-    ylabel('Y','FontSize',16,'Interpreter','latex')
-    zlabel('Z','FontSize',16,'Interpreter','latex')
-    quiver3(-2*r_PhSun(1)*units.lsf,-2*r_PhSun(2)*units.lsf,-2*r_PhSun(3)*units.lsf,...
-        r_PhSun(1)*units.lsf,r_PhSun(2)*units.lsf,r_PhSun(3)*units.lsf,'LineWidth',1.5,'Color','g')
-    plot3(-2*r_PhSun(1)*units.lsf,-2*r_PhSun(2)*units.lsf,-2*r_PhSun(3)*units.lsf, '*','Color','g','MarkerSize',20)
-    quiver3(r_sb_Ph(1),r_sb_Ph(2),r_sb_Ph(3),...
-        -r_sb_Ph(1)/units.tsf,-r_sb_Ph(2)/units.tsf,-r_sb_Ph(3)/units.tsf,'LineWidth',1.5,'Color','r')
-    plotCamera('location',r_sb_Ph,'orientation',R_CV,'Color','r')
-
-    figure()
-    grid on
-    axis equal
-    hold on
-    plot(Y_pix(1,:), Y_pix(2,:), 'o', 'Color', 'r');
-    xlabel('X','FontSize',16,'Interpreter','latex')
-    ylabel('Y','FontSize',16,'Interpreter','latex')
-    xlim([0, 2*pars.camera_intrinsic(3,1)])
-    ylim([0, 2*pars.camera_intrinsic(3,2)])
+
+%%  Plot of the Resulting sceene
+
+%     PlotGeometryAndLight(points, point_in_light, visible, r_sb_Ph, r_PhSun, pars, units);
+%     Plotfeatures_Pic(Y_pix, pars);
 
 end
\ No newline at end of file
-- 
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