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ENH: Addition of New Radar Echo Classification Function (#1495)
* ADD: _echo_class_wt.py: RadarEchoClass module with all methods/code from PyREClass. * ADD:wrapper function for wt_reclass * REFORMAT: Function names comply with PyART & PEP8 standards. * REFORMAT: Function names comply with PyART & PEP8 standards. * Revert "REFORMAT: Function names comply with PyART & PEP8 standards." This reverts commit 6ce7cc8. * REFORMAT: Function names comply with PyART & PEP8 standards. * ADD: masked array, detailed func arguments * MOD:func user arguments used,class num changed. * DOC:function and user arguments. * MOD: added metadata to field dictinery. * order of classes changed * cappi level added;better description of calsses * REFORMAT: PEP8 style * FORMAT:PEP8 * MOD:sanity check for conv core threshold * MOD:More sanity check for thresholds * MOD:Added override to sanity check+documentation * MOD:minor * invalid grid raises exception * first unit test added * ADD:func make_gaussian_storm_grid * ADD: test for output validity * ADD:utest for results of classification * ENH: test documentation and apply black formatting * ENH:small test func merged;name change * ADD: Stat-based tests for Gaussian storm grid function * ADD: example * FORMAT:Black * FIX: issues for #1495 the code review - aded TypeError handling in `_echo_class_wt.py` - Left tab docstring in `echo_class.py` - Added blank line in `_echo_class_wt.py` - Did not check `reflectivity_to_rainrate` function for duplication - Spellcheck Done - Confirmed grid object check in `echo_class.py` - Added `#noqa` comment in `__init__.py` * FIX:unused imports andvariables removed * Removed two line func sum_conv_wavelets(); * minor * Removed reflectivity_to_rainrate() * Test PAssed reflectivity_to_rainrate(): * minor:autosummary * ADD:conv_wavelet_sum() * Func Renamed: get_reclass -> wavelet_reclas * Refined documentation and Descriptive user arguments * FMT: Black * ENH:Docstring * DOC:Better description & ordering of classification categories * REFACTOR:scale_break now computed in calling function Moved scale break calculation to calling function, outputting scale_break as a parameter for the user. Adjusted related functions and variables. * ENH:scale_break is adaptive to resolution * ENH:atol added, tests default function arguments * FROMAT:black * MINOR:corrected tab in docstring * used new scaling and added description * MINOR: alignment in docstring * FORAMT:linting error corrected * 'LINTING ERR:import-block sorted;extra'()' removed' Follwing errors are fixed: pyart/retrieve/_echo_class_wt.py:192:26: UP034 [*] Avoid extraneous parentheses pyart/retrieve/echo_class.py:6:1: I001 [*] Import block is un-sorted or un-formatted Found 2 errors. [*] 2 fixable with the `--fix` option. Error: Process completed with exit code 1. * FIX: Fix linting error * FIX: Fix more linting errors * DOCS:minor docstrig chages from Zach * DOCS: testing precommit --------- Co-authored-by: mgrover1 <[email protected]> Co-authored-by: Max Grover <[email protected]>
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""" | ||
Classification of Precipitation Echoes in Radar Data. | ||
Created on Thu Oct 12 23:12:19 2017 | ||
@author: Bhupendra Raut | ||
@modifed: 11/19/2023 | ||
@references: 10.1109/TGRS.2020.2965649 | ||
.. autosummary:: | ||
wavelet_reclass | ||
label_classes | ||
calc_scale_break | ||
atwt2d | ||
""" | ||
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import numpy as np | ||
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def wavelet_reclass( | ||
grid, | ||
refl_field, | ||
level, | ||
zr_a, | ||
zr_b, | ||
core_wt_threshold, | ||
conv_wt_threshold, | ||
scale_break, | ||
min_reflectivity, | ||
conv_min_refl, | ||
conv_core_threshold, | ||
): | ||
""" | ||
Compute ATWT described as Raut et al (2008) and classify radar echoes using scheme of Raut et al (2020). | ||
First, convert dBZ to rain rates using standard Z-R relationship or user given coefficients. This is to | ||
transform the normally distributed dBZ to gamma-like distribution, enhancing the structure of the field. | ||
Parameters | ||
---------- | ||
dbz_data : ndarray | ||
2D array containing radar data. Last dimension should be levels. | ||
res_km : float | ||
Resolution of the radar data in km | ||
scale_break : int | ||
Calculated scale break between convective and stratiform scales. Dyadically spaced in grid pixels. | ||
Returns | ||
------- | ||
wt_class : ndarray | ||
Precipitation type classification: 0. N/A 1. stratiform/non-convective, | ||
2. convective cores and 3. moderate+transitional (mix) convective | ||
regions. | ||
""" | ||
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# Extract grid data, save mask and get the resolution in km | ||
try: | ||
dbz_data = grid.fields[refl_field]["data"][level, :, :] | ||
except: | ||
dbz_data = grid.fields[refl_field]["data"][:, :] | ||
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# save the radar original mask for missing data. | ||
radar_mask = np.ma.getmask(dbz_data) | ||
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wt_sum = conv_wavelet_sum(dbz_data, zr_a, zr_b, scale_break) | ||
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wt_class = label_classes( | ||
wt_sum, | ||
dbz_data, | ||
core_wt_threshold, | ||
conv_wt_threshold, | ||
min_reflectivity, | ||
conv_min_refl, | ||
conv_core_threshold, | ||
) | ||
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wt_class_ma = np.ma.masked_where(radar_mask, wt_class) # add mask back | ||
wt_class_ma = wt_class_ma.squeeze() | ||
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return wt_class_ma | ||
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def conv_wavelet_sum(dbz_data, zr_a, zr_b, scale_break): | ||
""" | ||
Computes the sum of wavelet transform components for convective scales from dBZ data. | ||
Parameters | ||
------------ | ||
dbz_data : ndarray | ||
2D array containing radar dBZ data. | ||
zr_a, zr_b : float | ||
Coefficients for the Z-R relationship. | ||
res_km : float | ||
Resolution of the radar data in km. | ||
scale_break : int | ||
Calculated scale break (in pixels) between convective and stratiform scales | ||
Returns | ||
--------- | ||
wt_sum : ndarray | ||
Sum of convective scale wavelet transform components. | ||
""" | ||
try: | ||
dbz_data = dbz_data.filled(0) | ||
except Exception: | ||
pass | ||
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dbz_data[np.isnan(dbz_data)] = 0 | ||
rr_data = ((10.0 ** (dbz_data / 10.0)) / zr_a) ** (1.0 / zr_b) | ||
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wt, _ = atwt2d(rr_data, max_scale=scale_break) | ||
wt_sum = np.sum(wt, axis=(0)) | ||
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return wt_sum | ||
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def label_classes( | ||
wt_sum, | ||
dbz_data, | ||
core_wt_threshold, | ||
conv_wt_threshold, | ||
min_reflectivity, | ||
conv_min_refl, | ||
conv_core_threshold, | ||
): | ||
""" | ||
Labels classes using given thresholds: | ||
- 0: No precipitation or unclassified | ||
- 1: Stratiform/non-convective regions | ||
- 2: Transitional and mixed convective regions | ||
- 3: Convective cores | ||
Following hard coded values are optimized and validated using C-band radars | ||
over Darwin, Australia (2.5 km grid spacing) and tested for Solapur, India (1km grid spacing) [Raut et al. 2020]. | ||
core_wt_threshold = 5 # WT value more than this is strong convection | ||
conv_wt_threshold = 2 # WT value for moderate convection | ||
min_reflectivity = 10 # pixels below this value are not classified. | ||
conv_min_refl = 30 # pixel below this value are not convective. This works for most cases. | ||
Parameters | ||
----------- | ||
wt_sum : ndarray | ||
Integrated wavelet transform | ||
vol_data : ndarray | ||
Array, vector or matrix of data | ||
Returns | ||
--------- | ||
wt_class : ndarray | ||
Precipitation type classification. | ||
""" | ||
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# I first used negative numbers to annotate the categories. Then multiply it by -1. | ||
wt_class = np.where( | ||
(wt_sum >= conv_wt_threshold) & (dbz_data >= conv_core_threshold), -3, 0 | ||
) | ||
wt_class = np.where( | ||
(wt_sum >= core_wt_threshold) & (dbz_data >= conv_min_refl), -3, 0 | ||
) | ||
wt_class = np.where( | ||
(wt_sum < core_wt_threshold) | ||
& (wt_sum >= conv_wt_threshold) | ||
& (dbz_data >= conv_min_refl), | ||
-2, | ||
wt_class, | ||
) | ||
wt_class = np.where((wt_class == 0) & (dbz_data >= min_reflectivity), -1, wt_class) | ||
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wt_class = -1 * wt_class | ||
wt_class = np.where((wt_class == 0), np.nan, wt_class) | ||
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return wt_class.astype(np.int32) | ||
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def calc_scale_break(res_meters, conv_scale_km): | ||
""" | ||
Compute scale break for convection and stratiform regions. WT will be | ||
computed upto this scale and features will be designated as convection. | ||
Parameters | ||
----------- | ||
res_meters : float | ||
resolution of the image. | ||
conv_scale_km : float | ||
expected size of spatial variations due to convection. | ||
Returns | ||
-------- | ||
dyadic scale break : int | ||
integer scale break in dyadic scale. | ||
""" | ||
res_km = res_meters / 1000 | ||
scale_break = np.log(conv_scale_km / res_km) / np.log(2) + 1 | ||
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return int(round(scale_break)) | ||
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def atwt2d(data2d, max_scale=-1): | ||
""" | ||
Computes a trous wavelet transform (ATWT). Computes ATWT of the 2D array | ||
up to max_scale. If max_scale is outside the boundaries, number of scales | ||
will be reduced. | ||
Data is mirrored at the boundaries. 'Negative WT are removed. Not tested | ||
for non-square data. | ||
@authors: Bhupendra A. Raut and Dileep M. Puranik | ||
@references: Press et al. (1992) Numerical Recipes in C. | ||
Parameters | ||
----------- | ||
data2d : ndarray | ||
2D image as array or matrix. | ||
max_scale : | ||
Computes wavelets up to max_scale. Leave blank for maximum possible | ||
scales. | ||
Returns | ||
--------- | ||
tuple of ndarray | ||
ATWT of input image and the final smoothed image or background image. | ||
""" | ||
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if not isinstance(data2d, np.ndarray): | ||
raise TypeError("The input data2d must be a numpy array.") | ||
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data2d = data2d.squeeze() | ||
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dims = data2d.shape | ||
min_dims = np.min(dims) | ||
max_possible_scales = int(np.floor(np.log(min_dims) / np.log(2))) | ||
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if max_scale < 0 or max_possible_scales <= max_scale: | ||
max_scale = max_possible_scales - 1 | ||
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ny = dims[0] | ||
nx = dims[1] | ||
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# For saving wt components | ||
wt = np.zeros((max_scale, ny, nx)) | ||
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temp1 = np.zeros(dims) | ||
temp2 = np.zeros(dims) | ||
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sf = (0.0625, 0.25, 0.375) # scaling function | ||
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# start wavelet loop | ||
for scale in range(1, max_scale + 1): | ||
# print(scale) | ||
x1 = 2 ** (scale - 1) | ||
x2 = 2 * x1 | ||
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# Row-wise smoothing | ||
for i in range(0, nx): | ||
# find the indices for prev and next points on the line | ||
prev2 = abs(i - x2) | ||
prev1 = abs(i - x1) | ||
next1 = i + x1 | ||
next2 = i + x2 | ||
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# If these indices are outside the image, "mirror" them | ||
# Sometime this causes issues at higher scales. | ||
if next1 > nx - 1: | ||
next1 = 2 * (nx - 1) - next1 | ||
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if next2 > nx - 1: | ||
next2 = 2 * (nx - 1) - next2 | ||
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if prev1 < 0 or prev2 < 0: | ||
prev1 = next1 | ||
prev2 = next2 | ||
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for j in range(0, ny): | ||
left2 = data2d[j, prev2] | ||
left1 = data2d[j, prev1] | ||
right1 = data2d[j, next1] | ||
right2 = data2d[j, next2] | ||
temp1[j, i] = ( | ||
sf[0] * (left2 + right2) | ||
+ sf[1] * (left1 + right1) | ||
+ sf[2] * data2d[j, i] | ||
) | ||
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# Column-wise smoothing | ||
for i in range(0, ny): | ||
prev2 = abs(i - x2) | ||
prev1 = abs(i - x1) | ||
next1 = i + x1 | ||
next2 = i + x2 | ||
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# If these indices are outside the image use next values | ||
if next1 > ny - 1: | ||
next1 = 2 * (ny - 1) - next1 | ||
if next2 > ny - 1: | ||
next2 = 2 * (ny - 1) - next2 | ||
if prev1 < 0 or prev2 < 0: | ||
prev1 = next1 | ||
prev2 = next2 | ||
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for j in range(0, nx): | ||
top2 = temp1[prev2, j] | ||
top1 = temp1[prev1, j] | ||
bottom1 = temp1[next1, j] | ||
bottom2 = temp1[next2, j] | ||
temp2[i, j] = ( | ||
sf[0] * (top2 + bottom2) | ||
+ sf[1] * (top1 + bottom1) | ||
+ sf[2] * temp1[i, j] | ||
) | ||
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wt[scale - 1, :, :] = data2d - temp2 | ||
data2d[:] = temp2 | ||
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return wt, data2d |
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