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00033 #include <algorithm>
00034 #include <cfloat>
00035 #include <door_handle_detector/geometry/statistics.h>
00036
00037 namespace cloud_geometry
00038 {
00039
00040 namespace statistics
00041 {
00043
00046 geometry_msgs::Point32
00047 computeMedian (const sensor_msgs::PointCloud& points)
00048 {
00049 geometry_msgs::Point32 median;
00050
00051
00052 std::vector<double> x (points.points.size ());
00053 std::vector<double> y (points.points.size ());
00054 std::vector<double> z (points.points.size ());
00055 for (unsigned int i = 0; i < points.points.size (); i++)
00056 {
00057 x[i] = points.points[i].x;
00058 y[i] = points.points[i].y;
00059 z[i] = points.points[i].z;
00060 }
00061 std::sort (x.begin (), x.end ());
00062 std::sort (y.begin (), y.end ());
00063 std::sort (z.begin (), z.end ());
00064
00065 int mid = points.points.size () / 2;
00066 if (points.points.size () % 2 == 0)
00067 {
00068 median.x = (x[mid-1] + x[mid]) / 2;
00069 median.y = (y[mid-1] + y[mid]) / 2;
00070 median.z = (z[mid-1] + z[mid]) / 2;
00071 }
00072 else
00073 {
00074 median.x = x[mid];
00075 median.y = y[mid];
00076 median.z = z[mid];
00077 }
00078 return (median);
00079 }
00080
00082
00087 geometry_msgs::Point32
00088 computeMedian (const sensor_msgs::PointCloud &points, const std::vector<int> &indices)
00089 {
00090 geometry_msgs::Point32 median;
00091
00092
00093 std::vector<double> x (indices.size ());
00094 std::vector<double> y (indices.size ());
00095 std::vector<double> z (indices.size ());
00096 for (unsigned int i = 0; i < indices.size (); i++)
00097 {
00098 x[i] = points.points.at (indices.at (i)).x;
00099 y[i] = points.points.at (indices.at (i)).y;
00100 z[i] = points.points.at (indices.at (i)).z;
00101 }
00102 std::sort (x.begin (), x.end ());
00103 std::sort (y.begin (), y.end ());
00104 std::sort (z.begin (), z.end ());
00105
00106 int mid = indices.size () / 2;
00107 if (indices.size () % 2 == 0)
00108 {
00109 median.x = (x[mid-1] + x[mid]) / 2;
00110 median.y = (y[mid-1] + y[mid]) / 2;
00111 median.z = (z[mid-1] + z[mid]) / 2;
00112 }
00113 else
00114 {
00115 median.x = x[mid];
00116 median.y = y[mid];
00117 median.z = z[mid];
00118 }
00119 return (median);
00120 }
00121
00123
00131 double
00132 computeMedianAbsoluteDeviation (const sensor_msgs::PointCloud &points, double sigma)
00133 {
00134
00135 geometry_msgs::Point32 median = computeMedian (points);
00136
00137 std::vector<double> distances (points.points.size ());
00138
00139 for (unsigned int i = 0; i < points.points.size (); i++)
00140 distances[i] = (points.points[i].x - median.x) * (points.points[i].x - median.x) +
00141 (points.points[i].y - median.y) * (points.points[i].y - median.y) +
00142 (points.points[i].z - median.z) * (points.points[i].z - median.z);
00143
00144 std::sort (distances.begin (), distances.end ());
00145
00146 double result;
00147 int mid = points.points.size () / 2;
00148
00149 if (points.points.size () % 2 == 0)
00150 result = (sqrt (distances[mid-1]) + sqrt (distances[mid])) / 2;
00151 else
00152 result = sqrt (distances[mid]);
00153 return (sigma * result);
00154 }
00155
00157
00165 double
00166 computeMedianAbsoluteDeviation (const sensor_msgs::PointCloud &points, const std::vector<int> &indices, double sigma)
00167 {
00168
00169 geometry_msgs::Point32 median = computeMedian (points, indices);
00170
00171 std::vector<double> distances (indices.size ());
00172
00173 for (unsigned int i = 0; i < indices.size (); i++)
00174 distances[i] = (points.points.at (indices.at (i)).x - median.x) * (points.points.at (indices.at (i)).x - median.x) +
00175 (points.points.at (indices.at (i)).y - median.y) * (points.points.at (indices.at (i)).y - median.y) +
00176 (points.points.at (indices.at (i)).z - median.z) * (points.points.at (indices.at (i)).z - median.z);
00177
00178 std::sort (distances.begin (), distances.end ());
00179
00180 double result;
00181 int mid = indices.size () / 2;
00182
00183 if (indices.size () % 2 == 0)
00184 result = (sqrt (distances[mid-1]) + sqrt (distances[mid])) / 2;
00185 else
00186 result = sqrt (distances[mid]);
00187
00188 return (sigma * result);
00189 }
00190
00192
00198 void
00199 getChannelMeanStd (const sensor_msgs::PointCloud &points, int d_idx, double &mean, double &stddev)
00200 {
00201 double sum = 0, sq_sum = 0;
00202
00203 for (unsigned int i = 0; i < points.points.size (); i++)
00204 {
00205 sum += points.channels.at (d_idx).values.at (i);
00206 sq_sum += points.channels.at (d_idx).values.at (i) * points.channels.at (d_idx).values.at (i);
00207 }
00208 mean = sum / points.points.size ();
00209 double variance = (double)(sq_sum - sum * sum / points.points.size ()) / (points.points.size () - 1);
00210 stddev = sqrt (variance);
00211 }
00212
00214
00221 void
00222 getChannelMeanStd (const sensor_msgs::PointCloud &points, const std::vector<int> &indices, int d_idx, double &mean, double &stddev)
00223 {
00224 double sum = 0, sq_sum = 0;
00225
00226 for (unsigned int i = 0; i < indices.size (); i++)
00227 {
00228 sum += points.channels.at (d_idx).values.at (indices.at (i));
00229 sq_sum += points.channels.at (d_idx).values.at (indices.at (i)) * points.channels.at (d_idx).values.at (indices.at (i));
00230 }
00231 mean = sum / indices.size ();
00232 double variance = (double)(sq_sum - sum * sum / indices.size ()) / (indices.size () - 1);
00233 stddev = sqrt (variance);
00234 }
00235
00237
00247 void
00248 selectPointsOutsideDistribution (const sensor_msgs::PointCloud &points, const std::vector<int> &indices, int d_idx,
00249 double mean, double stddev, double alpha, std::vector<int> &inliers)
00250 {
00251 inliers.resize (indices.size ());
00252 int nr_i = 0;
00253 for (unsigned int i = 0; i < indices.size (); i++)
00254 {
00255 if ( (points.channels.at (d_idx).values.at (indices.at (i)) > (mean + alpha * stddev)) ||
00256 (points.channels.at (d_idx).values.at (indices.at (i)) < (mean - alpha * stddev))
00257 )
00258 {
00259 inliers[nr_i] = indices.at (i);
00260 nr_i++;
00261 }
00262 }
00263 inliers.resize (nr_i);
00264 }
00265
00267
00277 void
00278 selectPointsInsideDistribution (const sensor_msgs::PointCloud &points, const std::vector<int> &indices, int d_idx,
00279 double mean, double stddev, double alpha, std::vector<int> &inliers)
00280 {
00281 inliers.resize (indices.size ());
00282 int nr_i = 0;
00283 for (unsigned int i = 0; i < indices.size (); i++)
00284 {
00285 if ( (points.channels.at (d_idx).values.at (indices.at (i)) < (mean + alpha * stddev)) &&
00286 (points.channels.at (d_idx).values.at (indices.at (i)) > (mean - alpha * stddev))
00287 )
00288 {
00289 inliers[nr_i] = indices.at (i);
00290 nr_i++;
00291 }
00292 }
00293 inliers.resize (nr_i);
00294 }
00295
00297
00303 void
00304 getTrimean (std::vector<int> values, double &trimean)
00305 {
00306 nth_element (values.begin (), values.begin () + (int)(values.size () * 0.25), values.end ());
00307 int p_25 = *(values.begin () + (int)(values.size () * 0.25));
00308
00309 nth_element (values.begin (), values.begin () + (int)(values.size () * 0.5), values.end ());
00310 int p_50 = *(values.begin () + (int)(values.size () * 0.5));
00311
00312 nth_element (values.begin (), values.begin () + (int)(values.size () * 0.75), values.end ());
00313 int p_75 = *(values.begin () + (int)(values.size () * 0.75));
00314
00315 trimean = (p_25 + 2.0 * p_50 + p_75) / 4.0;
00316 }
00317
00318 }
00319 }