nutrimorph.py

# Copyright CNRS/Inria/UNS
# Contributor(s): Eric Debreuve (since 2019), Morgane Nadal (2020)
#
# eric.debreuve@cnrs.fr
#
# This software is governed by the CeCILL  license under French law and
# abiding by the rules of distribution of free software.  You can  use,
# modify and/ or redistribute the software under the terms of the CeCILL
# license as circulated by CEA, CNRS and INRIA at the following URL
# "http://www.cecill.info".
#
# As a counterpart to the access to the source code and  rights to copy,
# modify and redistribute granted by the license, users are provided only
# with a limited warranty  and the software's author,  the holder of the
# economic rights,  and the successive licensors  have only  limited
# liability.
#
# In this respect, the user's attention is drawn to the risks associated
# with loading,  using,  modifying and/or developing or reproducing the
# software by the user in light of its specific status of free software,
# that may mean  that it is complicated to manipulate,  and  that  also
# therefore means  that it is reserved for developers  and  experienced
# professionals having in-depth computer knowledge. Users are therefore
# encouraged to load and test the software's suitability as regards their
# requirements in conditions enabling the security of their systems and/or
# data to be ensured and,  more generally, to use and operate it in the
# same conditions as regards security.
#
# The fact that you are presently reading this means that you have had
# knowledge of the CeCILL license and that you accept its terms.

# Time profiling:
#     python -m cProfile -o runtime/profiling.log -s name main.py
# Memory profiling:
#     python -m memory_profiler main.py
#     or
#     mprof run main.py
#     mprof plot

import brick.component.connection as cn_
import brick.component.extension as xt_
import brick.component.soma as sm_
import brick.general.feedback as fb_
import brick.processing.input as in_
import brick.processing.plot as po_
# import brick.processing.image_verification as iv_
from sklgraph.skl_fgraph import skl_graph_t
from sklgraph.skl_map import skl_map_t
import brick.processing.graph_extraction as ge_
import brick.processing.best_fit_ellipsoid as bf_

import os as os_
import sys as sy_
import time as tm_
import psutil as mu_

import matplotlib.pyplot as pl_
import numpy as np_
import skimage.io as io_
# from skimage.segmentation import relabel_sequential
import skimage.morphology as mp_
import skimage.measure as ms_
import skimage.graph as gr_
import networkx as nx_
import math as mt_
import scipy.stats as st_
import pandas as pd_

print(sy_.argv, sy_.argv.__len__())

if sy_.argv.__len__() < 2:
    print("Missing parameter file argument")
    sy_.exit(0)
if not (os_.path.isfile(sy_.argv[1]) and os_.access(sy_.argv[1], os_.R_OK)):
    print("Wrong parameter file path or parameter file unreadable")
    sy_.exit(0)

data_path = None
channel = None
size_voxel_in_micron = None
soma_low_c = None
soma_high_c = None
soma_selem_micron_c = None
soma_min_area_c = None
ext_low_c = None
ext_high_c = None
ext_selem_micron_c = None
ext_min_area_c = None
max_straight_sq_dist_c = None
max_weighted_length_c = None
scale_range = None
scale_step = None
alpha = None
beta = None
frangi_c = None
bright_on_dark = None
method = None
with_plot = None
in_parallel = None

exec(open(sy_.argv[1]).read())  # Only with search_parameters.py (stable version)

soma_t = sm_.soma_t
extension_t = xt_.extension_t

print(f"STARTED: {tm_.strftime('%a, %b %d %Y @ %H:%M:%S')}")
start_time = tm_.time()


# --- Images

# Find the dimension of the image voxels in micron
size_voxel_in_micron = in_.FindVoxelDimensionInMicron(data_path, size_voxel_in_micron=size_voxel_in_micron)

image = io_.imread(data_path)

# Image size verification - simple version without user interface
image = in_.ImageVerification(image, channel)

# iv_.image_verification(image, channel)  # -> PySide2 user interface  # TODO: must return the modified image!
# /!\ conflicts between some versions of PySide2 and Python3

image = image[:, 800:, 800:]  # 512 # 562 # Just for development
img_shape = image.shape

#
print(f"IMAGE: s.{img_shape} t.{image.dtype} m.{image.min()} M.{image.max()}")

# Intensity relative normalization (between 0 and 1).
image_for_soma = in_.IntensityNormalizedImage(image)
image_for_ext = in_.IntensityNormalizedImage(image)

print(f"NRM-IMG: t.{image_for_soma.dtype} m.{image_for_soma.min():.2f} M.{image_for_soma.max():.2f}")

# --- Initialization
som_nfo = {}
ext_nfo = {}
axes = {}

#
# --- Somas
print("\n--- Soma Detection")

# Change the soma parameters from micron to pixel dimensions
soma_min_area_c = in_.ToPixel(soma_min_area_c, size_voxel_in_micron, dimension=(0, 1))
soma_selem_c = mp_.disk(in_.ToPixel(soma_selem_micron_c, size_voxel_in_micron))

# Create the maps for enhancing and detecting the soma
som_nfo["map"] = soma_t.Map(image_for_soma, soma_low_c, soma_high_c, soma_selem_c)
som_nfo["map"], som_lmp = soma_t.FilteredMap(som_nfo["map"], soma_min_area_c)
som_nfo["lmp"], n_somas = ms_.label(som_nfo["map"], return_num=True)

# Use relabel instead of label to optimize the algorithm. But BUG.
# som_nfo["lmp"] = relabel_sequential(som_lmp)[0]
# n_somas = som_nfo["lmp"].max()

som_nfo["dist_to_closest"], som_nfo["influence_map"] = soma_t.InfluenceMaps(
    som_nfo["lmp"])

somas = tuple(
    soma_t().FromMap(som_nfo["lmp"], uid) for uid in range(1, n_somas + 1))

print(f"    n = {n_somas}")

elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")

if with_plot:
    fb_.PlotSomas(somas, som_nfo, axes)

#
# -- Extentions
print("\n--- Extension Detection")

# Change the extensions parameters from micron to pixel dimensions
ext_min_area_c = in_.ToPixel(ext_min_area_c, size_voxel_in_micron, dimension=(0, 1))

if ext_selem_micron_c == 0:
    ext_selem_pixel_c = None
else:
    ext_selem_pixel_c = mp_.disk(in_.ToPixel(ext_selem_micron_c, size_voxel_in_micron))

scale_range_pixel = []
#
for value in scale_range:
    value_in_pixel = in_.ToPixel(value, size_voxel_in_micron, decimals=1)
    scale_range_pixel.append(value_in_pixel)
scale_range = tuple(scale_range_pixel)
#
scale_step = in_.ToPixel(scale_step, size_voxel_in_micron, decimals=1)
alpha = in_.ToPixel(alpha, size_voxel_in_micron, decimals=1)
beta = in_.ToPixel(beta, size_voxel_in_micron, decimals=1)
frangi_c = in_.ToPixel(frangi_c, size_voxel_in_micron)

# Perform frangi feature enhancement (via python or c - faster - implementation)

enhanced_ext, ext_scales = extension_t.EnhancedForDetection(
    image_for_ext,
    scale_range,
    scale_step,
    alpha,
    beta,
    frangi_c,
    bright_on_dark,
    method,
    in_parallel=in_parallel)

elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"Elapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}\n")

# Creation of the enhanced maps
ext_nfo["coarse_map"] = extension_t.CoarseMap(enhanced_ext, ext_low_c, ext_high_c, ext_selem_pixel_c) # seuillage
ext_nfo["coarse_map"], ext_lmp = extension_t.FilteredCoarseMap(ext_nfo["coarse_map"], ext_min_area_c)  # min
ext_nfo["map"] = extension_t.FineMapFromCoarseMap(ext_nfo["coarse_map"]) # skeleton
ext_nfo["map"][som_nfo["map"] > 0] = 0
ext_nfo["lmp"], n_extensions = ms_.label(ext_nfo["map"], return_num=True)
# Use relabel instead of label to optimize the algorithm. BUT PROBLEM WITH THE NUMBER OF EXTENSIONS DETECTED !
# ext_nfo["lmp"] = relabel_sequential(ext_lmp)[0]
# n_extensions = ext_nfo["lmp"].max()

extensions = tuple(
    extension_t().FromMap(ext_nfo["lmp"], ext_scales, uid)
    for uid in range(1, n_extensions + 1))

print(f"    n = {n_extensions}")
#
elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")

if with_plot:
    fb_.PlotExtensions(extensions, ext_nfo, img_shape)

# -- Preparation for Connections
dijkstra_costs = in_.DijkstraCosts(image, som_nfo["map"], ext_nfo["map"])


# -- Soma-Extention
print("\n--- Soma <-> Extension")

# Change the extensions parameters from micron to pixel dimensions
max_straight_sq_dist_c = in_.ToPixel(max_straight_sq_dist_c, size_voxel_in_micron)
max_weighted_length_c = in_.ToPixel(max_weighted_length_c, size_voxel_in_micron)

# Find the candidate extensions for connexion to the somas
candidate_conn_nfo = cn_.CandidateConnections(
    somas,
    som_nfo["influence_map"],
    som_nfo["dist_to_closest"],
    extensions,
    max_straight_sq_dist_c,
)

# For each candidate, verify that it is valid based on the shortest path and the maximum allowed straight distance
for ep_idx, soma, extension, end_point in candidate_conn_nfo:
    # print(end_point)
    if extension.is_unconnected:
        print(f"    Soma.{soma.uid} <-?-> Ext.{extension.uid}({ep_idx})", end="")
        path, length = cn_.ShortestPathFromToN(
            start_time,
            end_point,
            dijkstra_costs,
            soma.ContourPointsCloseTo,
            max_straight_sq_dist=max_straight_sq_dist_c,
        )
        # print(length == len(path)-2)   True when the connexion is made, otherwise, False because length = 0 and len(path)=0

        if length <= max_weighted_length_c:
            cn_.ValidateConnection(soma, extension, end_point, path, dijkstra_costs)
            print(": Made")
        else:
            print("")

# for soma in somas:
#     soma.Extend(extensions, som_nfo["dist_to_closest"], dijkstra_costs)

fb_.PrintConnectedExtensions(extensions)
#
elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")

if with_plot:
    fb_.PlotSomasWithExtensions(somas, som_nfo, "all")


# -- Extention-Extention
print("\n--- Extension <-> Extension")

# Update the soma maps with nex Ext-Ext connexions
should_look_for_connections = True
while should_look_for_connections:
    som_nfo["soma_w_ext_lmp"] = soma_t.SomasLMap(somas)
    som_nfo["dist_to_closest"], som_nfo["influence_map"] = soma_t.InfluenceMaps(
        som_nfo["soma_w_ext_lmp"]
    )

    # Find the candidate extensions for connexion to the primary extensions
    candidate_conn_nfo = cn_.CandidateConnections(
        somas,
        som_nfo["influence_map"],
        som_nfo["dist_to_closest"],
        extensions,
        max_straight_sq_dist_c,
    )

    should_look_for_connections = False
    # For each candidate, verify that it is valid based on the shortest path and the maximum allowed straight distance
    for ep_idx, soma, extension, end_point in candidate_conn_nfo:
        if extension.is_unconnected:
            print(f"    Soma.{soma.uid} <-?-> Ext.{extension.uid}({ep_idx})", end="")
            path, length = cn_.ShortestPathFromToN(
                start_time,
                end_point,
                dijkstra_costs,
                soma.ExtensionPointsCloseTo,
                max_straight_sq_dist=max_straight_sq_dist_c,
            )
            if length <= max_weighted_length_c:
                tgt_extenstion = extension_t.ExtensionContainingSite(extensions, path[-1])
                cn_.ValidateConnection(tgt_extenstion, extension, end_point, path, dijkstra_costs)
                should_look_for_connections = True
                print(": Made")
            else:
                print("")

# Create an extension map containing all the ext + connexions, without the somas.
ext_nfo["lmp_soma"] = som_nfo['soma_w_ext_lmp'] - som_nfo['lmp']

fb_.PrintConnectedExtensions(extensions)
#
elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")

if with_plot:
    fb_.PlotSomasWithExtensions(somas, som_nfo, "with_ext_of_ext")


# -- Summary
print("\n")
for soma in somas:
    print(soma)


# snapshot = tr_.take_snapshot()
# top_file_stats = snapshot.statistics('lineno')
# print("Memory Profiling: Top 10 FILES")
# for stat in top_file_stats[:10]:
#     print(stat)
# top_block_stats = snapshot.statistics('traceback')
# top_block_stats = top_block_stats[0]
# print(f"Memory Profiling: {top_block_stats.count} memory blocks: {top_block_stats.size / 1024:.1f} KiB")
# for line in top_block_stats.traceback.format():
#     print(line)

elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")

if with_plot:
    pl_.show()

po_.MaximumIntensityProjectionZ(som_nfo['soma_w_ext_lmp'])
# po_.MaximumIntensityProjectionZ(ext_nfo['lmp_soma'])

# --- Extract all the extensions of all somas as a graph
print('\n--- Graph extraction')
print('\n- Graph roots')

# Create the graphs
somas_features_dict = {}  # Dict{soma 1: [features], soma 2: [features], ...}
columns = [
    "Coef_V_soma__V_convex_hull",
    "Coef_axes_ellips_b__a",
    "Coef_axes_ellips_c__a",
    "N_nodes",
    "N_ext",
    "N_primary_ext",
    "N_sec_ext",
    "highest_degree",
    "min_degree",
    "mean_degree",
    "median_degree",
    "max_degree",
    "std_degree",
    "ext_lengths",
    "total_ext_length",
    "min_length",
    "mean_length",
    "median_length",
    "max_length",
    "std_length",
    "entropy_length",
    # "hist_length",
    "ext_lengths_P",
    "total_ext_length_P",
    "min_length_P",
    "mean_length_P",
    "median_length_P",
    "max_length_P",
    "std_length_P",
    "entropy_length_P",
    # "hist_length_P",
    "ext_lengths_S",
    "total_ext_length_S",
    "min_length_S",
    "mean_length_S",
    "median_length_S",
    "max_length_S",
    "std_length_S",
    "entropy_length_S",
    # "hist_length_S",
]

for soma in somas:
    ext_map = skl_map_t.FromShapeMap(ext_nfo['lmp_soma'] == soma.uid, store_widths=True, skeletonize=False)  # do_post_thinning=True
    # to remove pixel that are not breaking connectivity - FineMap in FromShapeMap
    soma.skl_graph = skl_graph_t.FromSkeleton(ext_map)

#     soma.skl_graph.Plot(mode=plot_mode_e.SKL_Curve, w_directions=True, should_block=False)
#     soma.skl_graph.Plot(should_block=True)
#     if with_plot:
#         pl_.show()

    # --- Find the root of the {ext+conn} graphs.
    # Roots are the nodes of degree 1 that are to be linked to the soma
    print(f"\nSoma {soma.uid}")

    soma.graph_roots = ge_.FindGraphsRootWithNodes(soma)
    # soma.graph_roots = ge_.FindGraphsRootWithEdges(soma, ext_nfo)
    print(soma.graph_roots, '\nn = ', len(soma.graph_roots))

    # Add a node "soma" and link it to the root nodes
    soma_node = f"S-{int(soma.centroid[0])}-{int(soma.centroid[1])}-{int(soma.centroid[2])}"
    # soma.skl_graph.add_node(soma_node, soma=True, soma_uid=soma.uid, centroid=soma.centroid, sites=soma.sites)
    soma.skl_graph.add_node(soma_node, soma=True, soma_nfo=soma)
    for node in soma.graph_roots.values():
        soma.skl_graph.add_edge(node, soma_node, root=True)
        # print(node, "<->", soma_node,': Done')

    # nx_.draw_networkx(soma.skl_graph)
    # if with_plot:
    #     pl_.show(block=True)

    #
    elapsed_time = tm_.gmtime(tm_.time() - start_time)

    # --- Extract features
    print('- Extracting features')
    # features_df = fe_.ExtractFeaturesInDF()

    # Soma features
    print('***Soma***')
    # # Volume of the soma
    volume_pixel_micron = round(np_.prod(size_voxel_in_micron), 4)
    soma.volume_soma_micron = volume_pixel_micron * len(soma.sites[0])
    volume_convex_hull = volume_pixel_micron * bf_.GetConvexHull3D(soma.sites)[1]
    Coef_V_soma__V_convex_hull = soma.volume_soma_micron / volume_convex_hull  ## TODO keep as prm
    print(f"Volume soma = {soma.volume_soma_micron}\n"
          f"Volume soma / Volume Convex Hull = {Coef_V_soma__V_convex_hull}"
          )

    # # Axes of the best fitting ellipsoid
    soma.axes_ellipsoid = bf_.FindBestFittingEllipsoid3D(soma)[2]
    Coef_axes_ellips_b__a = soma.axes_ellipsoid[1] / soma.axes_ellipsoid[0]  ## TODO keep as prm (2)
    Coef_axes_ellips_c__a = soma.axes_ellipsoid[2] / soma.axes_ellipsoid[0]


    # -- Extension features
    # # Graph features # TODO keep as prms (4)
    N_nodes = soma.skl_graph.n_nodes  # number of nodes
    N_ext = soma.skl_graph.n_edges - len(soma.graph_roots)  # number of edges except the constructed ones from node soma to the roots
    N_primary_ext = len(soma.graph_roots)  # number of primary edges = linked to the soma except the constructed ones from node soma to the roots
    N_sec_ext = N_ext - N_primary_ext  # number of secondary edges = not linked to the soma.

    print(
        f"\n***Extension***\n"
        f"N nodes = {N_nodes}\n"
        f"N edges = {N_ext}\n"
        f"N primary extensions = {N_primary_ext}\n"
        f"N secondary extensions = {N_sec_ext}\n"
    )

    if N_primary_ext > 0:
        # Calculate the extensions lengths
        ext_lengths = list(soma.skl_graph.edge_lengths)
        for length in ext_lengths:
            ext_lengths[length] = in_.ToMicron(length, volume_pixel_micron)
        total_ext_length = in_.ToMicron(soma.skl_graph.length, volume_pixel_micron)
        #
        # min, mean, median, max and standard deviation of the ALL extensions
        min_length = in_.ToMicron(soma.skl_graph.min_length, volume_pixel_micron)
        mean_length = in_.ToMicron(soma.skl_graph.mean_length, volume_pixel_micron)
        median_length = in_.ToMicron(soma.skl_graph.median_length, volume_pixel_micron)
        max_length = in_.ToMicron(soma.skl_graph.max_length, volume_pixel_micron)
        std_length = np_.std(ext_lengths)
        entropy_length = st_.entropy(ext_lengths)

        print(
            f"NODES DEGREES\n"
            f"Highest degree (except soma) = {highest_degree}/{highest_degree_w_node}\n"
            f"Min/Mean/Median/Max degree (except soma & leaves) = {min_degree} / {mean_degree} / {median_degree} / {max_degree}\n"
            f"Standard deviation (except soma & leaves) = {std_degree}\n\n"
            #
            f"ALL EXTENSIONS\n  Total Length = {total_ext_length} <- {ext_lengths}\n"
            f"  Min/Mean/Median/Max Length = {min_length} / {mean_length} / {median_length} / {max_length}\n"
            f"  Standard Deviation = {std_length} / Entropy = {entropy_length}")

        # PRIMARY extensions
        ext_lengths_P = list(soma.skl_graph.primary_edge_lengths(soma))
        for length in ext_lengths_P:
            ext_lengths_P[length] = in_.ToMicron(length, volume_pixel_micron)
        total_ext_length_P = sum(ext_lengths_P)
        #
        # min, mean, median, max and standard deviation of the PRIMARY extensions
        min_length_P = min(ext_lengths_P)
        mean_length_P = np_.mean(ext_lengths_P)
        median_length_P = np_.median(ext_lengths_P)
        max_length_P = max(ext_lengths_P)
        std_length_P = np_.std(ext_lengths_P)
        entropy_length_P = st_.entropy(ext_lengths_P)

        print(
            f"PRIMARY EXTENSIONS\n  Total Length = {total_ext_length_P}\n"
            f"  Min/Mean/Median/Max Length = {min_length_P} / {mean_length_P} / {median_length_P} / {max_length_P}\n"
            f"  Standard Deviation = {std_length_P} / Entropy = {entropy_length_P}")

        if N_sec_ext > 0:
            highest_degree = soma.skl_graph.max_degree  # highest degree of the nodes except the soma
            if highest_degree == 2:
                highest_degree = 1
            highest_degree_w_node = soma.skl_graph.highest_degree_w_nodes(soma)  # highest degree of the nodes with the node coordinates except the soma
            # min, mean, median, max and standard deviation of the degrees of non-leaves nodes
            min_degree = soma.skl_graph.min_degree_except_leaves_and_roots
            mean_degree = soma.skl_graph.mean_degree_except_leaves_and_roots
            median_degree = soma.skl_graph.median_degree_except_leaves_and_roots
            max_degree = soma.skl_graph.max_degree_except_leaves_an_roots
            std_degree = soma.skl_graph.std_degree_except_leaves_and_roots

            # SECONDARY extensions length
            ext_lengths_S = list(soma.skl_graph.secondary_edge_lengths(soma))
            for length in ext_lengths_S:
                ext_lengths_S[length] = in_.ToMicron(length, volume_pixel_micron)
            total_ext_length_S = sum(ext_lengths_S)
            #
            # min, mean, median, max and standard deviation of the PRIMARY extensions
            min_length_S = min(ext_lengths_S)
            mean_length_S = np_.mean(ext_lengths_S)
            median_length_S = np_.median(ext_lengths_S)
            max_length_S = max(ext_lengths_S)
            std_length_S = np_.std(ext_lengths_S)
            entropy_length_S = st_.entropy(ext_lengths_S)

            print(
                f"SECONDARY EXTENSIONS\n  Total Length = {total_ext_length_S}\n"
                f"  Min/Mean/Median/Max Length = {min_length_S} / {mean_length_S} / {median_length_S} / {max_length_S}\n"
                f"  Standard Deviation = {std_length_S} / Entropy = {entropy_length_S}")

        if N_sec_ext == 0:
            highest_degree = 1
            highest_degree_w_node = soma.skl_graph.highest_degree_w_nodes(
                soma)  # highest degree of the nodes with the node coordinates except the soma
            # min, mean, median, max and standard deviation of the degrees of non-leaves nodes
            min_degree = 1
            mean_degree = 1
            median_degree = 1
            max_degree = 1
            std_degree = 0

            ext_lengths_S = None
            total_ext_length_S = 0
            min_length_S = None
            mean_length_S = None
            median_length_S = None
            max_length_S = None
            std_length_S = None
            entropy_length_S = None
    else:
        ext_lengths = None
        total_ext_length = 0
        min_length = None
        mean_length = None
        median_length = None
        max_length = None
        std_length = None
        entropy_length = None
        ext_lengths_P = None
        total_ext_length_P = 0
        min_length_P = None
        mean_length_P = None
        median_length_P = None
        max_length_P = None
        std_length_P = None
        entropy_length_P = None
        ext_lengths_S = None
        total_ext_length_S = 0
        min_length_S = None
        mean_length_S = None
        median_length_S = None
        max_length_S = None
        std_length_S = None
        entropy_length_S =None

    somas_features_dict[f"soma {soma.uid}"] = [
            Coef_V_soma__V_convex_hull,
            Coef_axes_ellips_b__a,
            Coef_axes_ellips_c__a,
            N_nodes,
            N_ext,
            N_primary_ext,
            N_sec_ext,
            highest_degree,
            min_degree,
            mean_degree,
            median_degree,
            max_degree,
            std_degree,
            ext_lengths,
            total_ext_length,
            min_length,
            mean_length,
            median_length,
            max_length,
            std_length,
            entropy_length,
            # hist_length,
            ext_lengths_P,
            total_ext_length_P,
            min_length_P,
            mean_length_P,
            median_length_P,
            max_length_P,
            std_length_P,
            entropy_length_P,
            # hist_length_P,
            ext_lengths_S,
            total_ext_length_S,
            min_length_S,
            mean_length_S,
            median_length_S,
            max_length_S,
            std_length_S,
            entropy_length_S,
            # hist_length_S,
        ]

features_df = pd_.DataFrame.from_dict(somas_features_dict, orient="index", columns=columns)

    # TODO FRANGI:WIDTH OF EXTENSIONS, CURVATURE EXTENSIONS


#
elapsed_time = tm_.gmtime(tm_.time() - start_time)
print(f"\nElapsed Time={tm_.strftime('%Hh %Mm %Ss', elapsed_time)}")
print(f"DONE: {tm_.strftime('%a, %b %d %Y @ %H:%M:%S')}")