Numpy array of integers into numpy array of arrays - python

I would like to convert numpy array into numpy array of arrays.
I have an array: a = [[0,0,0],[0,255,0],[0,255,255],[255,255,255]]
and I would like to have: b = [[[0,0,0],[0,0,0],[0,0,0]],[[0,0,0],[255,255,255],[0,0,0]],[[0,0,0],[255,255,255],[255,255,255]],[[255,255,255],[255,255,255],[255,255,255]]]
Is there any easy way to do it?
I have tried with np.where(a == 0, [0,0,0],[255,255,255]) but I got the following error:
ValueError: operands could not be broadcast together with shapes

You can use broadcast_to as
b = np.broadcast_to(a, (3,4,3))
where a was shape (3,4). Then you need to swap the axes around
import numpy as np
a = np.array([[0,0,0],[0,255,0],[0,255,255],[255,255,255]])
b = np.broadcast_to(a, (3,4,3))
c = np.moveaxis(b, [0,1,2], [2,0,1])
c
giving
array([[[ 0, 0, 0],
[ 0, 0, 0],
[ 0, 0, 0]],
[[ 0, 0, 0],
[255, 255, 255],
[ 0, 0, 0]],
[[ 0, 0, 0],
[255, 255, 255],
[255, 255, 255]],
[[255, 255, 255],
[255, 255, 255],
[255, 255, 255]]])
A more direct method broadcasting method suggested by #Divakar is
b = np.broadcast(a[:,:,None], (4,3,3))
which produces the same output without axis swapping.

What you tried will work with the following small modification:
a = np.array(a)
np.where(a[...,None]==0,[0,0,0],[255,255,255])
To make multidimensional indexing available we have to cast a to array first. a[...,None] adds a new dimension at the end of a to accomodate the triplets 0,0,0 and 255,255,255.

In [204]: a = np.array([[0,0,0],[0,255,0],[0,255,255],[255,255,255]])
In [205]: a.shape
Out[205]: (4, 3)
Looks like you want to replicate each element 3 times, making a new trailing dimension. We can do that using repeat (after adding the new trailing dimension):
In [207]: a.reshape(4,3,1).repeat(3,2)
Out[207]:
array([[[ 0, 0, 0],
[ 0, 0, 0],
[ 0, 0, 0]],
[[ 0, 0, 0],
[255, 255, 255],
[ 0, 0, 0]],
[[ 0, 0, 0],
[255, 255, 255],
[255, 255, 255]],
[[255, 255, 255],
[255, 255, 255],
[255, 255, 255]]])
In [208]: _.shape
Out[208]: (4, 3, 3)

Related

How to take only the array matrix (item) from np.array()

I have a list mask_arr of numpy array and the element of list is numpy array like this:
mask_arr[0][:]
array([[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
...,
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255]], dtype=uint8)
How to take only the 2D array without the dtype part:
[[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
...,
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255],
[255, 255, 255, ..., 255, 255, 255]]
the reason is that I am getting the following error:
im = mask_arr[i]
*** TypeError: only integer scalar arrays can be converted to a scalar index
Make a list of arrays:
In [19]: alist = [np.ones((3,4),'uint8'),np.zeros((2,2),'int16')]
default display of that list:
In [20]: alist
Out[20]:
[array([[1, 1, 1, 1],
[1, 1, 1, 1],
[1, 1, 1, 1]], dtype=uint8),
array([[0, 0],
[0, 0]], dtype=int16)]
Display the elements of the list using the str method:
In [21]: for a in alist: print(str(a))
[[1 1 1 1]
[1 1 1 1]
[1 1 1 1]]
[[0 0]
[0 0]]
The 'array', dtype and commas are omit. That's just a display style; no change in the actual arrays.
Compare that with the display of the arrays converted to lists - note the commas.
In [22]: for a in alist: print(a.tolist())
[[1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1]]
[[0, 0], [0, 0]]
In python, each class has defined __str__ and __repr__ methods, which determine how they are displayed. The display gives an idea of the object's class. But different displays don't change the class.
Likewise each class has its own indexing rules.

Calculate mask from comparing values of two Numpy arrays that are different shapes

Given these two arrays:
a = np.array(
[
[
[1, 102, 103, 255],
[201, 2, 202, 255],
[201, 202, 202, 255]
],
[
[11, 120, 0, 255],
[0, 0, 0, 255],
[1, 22, 142, 255]
],
])
b = np.array(
[
[
[1, 102, 103, 255],
[201, 2, 202, 255]
],
[
[11, 120, 0, 255],
[221, 222, 13, 255]
],
[
[91, 52, 53, 255],
[0, 0, 0, 255]
],
])
a.shape # => (2, 3, 4)
b.shape # => (3, 3, 4)
I want to overlay a and b at 0, 0 and output a mask that represents when a values equal b values. The values compared are the full pixel values, so in this case [1, 102, 103, 255] is a value.
An output mask like this would be great:
result = np.array([
[
true,
true,
false
],
[
true,
false,
false
],
[
false,
false,
false
],
])
A perfect answer in my case would be where matching values become [255, 0, 0, 255] and mismatching values become [0, 0, 0, 0]:
result = np.array([
[
[255, 0, 0, 255],
[255, 0, 0, 255],
[0, 0, 0, 0]
],
[
[255, 0, 0, 255],
[0, 0, 0, 0],
[0, 0, 0, 0]
],
[
[0, 0, 0, 0],
[0, 0, 0, 0],
[0, 0, 0, 0]
],
])
result.shape # => (3, 3, 4)
It looks like this:
[![diff between a and b][1]][1]
Here is one possibility using slicing.
outer = np.maximum(a.shape, b.shape)
inner = *map(slice, np.minimum(a.shape, b.shape)),
out = np.zeros(outer, np.result_type(a, b))
out[inner][(a[inner]==b[inner]).all(2)] = 255,0,0,255
out
# array([[[255, 0, 0, 255],
# [255, 0, 0, 255],
# [ 0, 0, 0, 0]],
#
# [[255, 0, 0, 255],
# [ 0, 0, 0, 0],
# [ 0, 0, 0, 0]],
#
# [[ 0, 0, 0, 0],
# [ 0, 0, 0, 0],
# [ 0, 0, 0, 0]]])

Replace multiple values in Numpy Array

Given the following example array:
import numpy as np
example = np.array(
[[[ 0, 0, 0, 255],
[ 0, 0, 0, 255]],
[[ 0, 0, 0, 255],
[ 221, 222, 13, 255]],
[[-166, -205, -204, 255],
[-257, -257, -257, 255]]]
)
I want to replace values [0, 0, 0, 255] values with [255, 0, 0, 255] and everything else becomes [0, 0, 0, 0].
So the desired output is:
[[[ 255, 0, 0, 255],
[ 255, 0, 0, 255]],
[[ 255, 0, 0, 255],
[ 0, 0, 0, 0]],
[[ 0, 0, 0, 0],
[ 0, 0, 0, 0]]
This solution got close:
np.place(example, example==[0, 0, 0, 255], [255, 0, 0, 255])
np.place(example, example!=[255, 0, 0, 255], [0, 0, 0, 0])
But it outputs this instead:
[[[255 0 0 255],
[255 0 0 255]],
[[255 0 0 255],
[ 0 0 0 255]], # <- extra 255 here
[[ 0 0 0 0],
[ 0 0 0 0]]]
What's a good way to do this?
You can find all occurrences of [0, 0, 0, 255] using
np.all(example == [0, 0, 0, 255], axis=-1)
# array([[ True, True],
# [ True, False],
# [False, False]])
Save these positions to a mask, set everything to zero, then place the desired output into the mask positions:
mask = np.all(example == [0, 0, 0, 255], axis=-1)
example[:] = 0
example[mask, :] = [255, 0, 0, 255]
# array([[[255, 0, 0, 255],
# [255, 0, 0, 255]],
#
# [[255, 0, 0, 255],
# [ 0, 0, 0, 0]],
#
# [[ 0, 0, 0, 0],
# [ 0, 0, 0, 0]]])
Here's one way:
a = np.array([0, 0, 0, 255])
replace = np.array([255, 0, 0, 255])
m = (example - a).any(-1)
np.logical_not(m)[...,None] * replace
array([[[255, 0, 0, 255],
[255, 0, 0, 255]],
[[255, 0, 0, 255],
[ 0, 0, 0, 0]],
[[ 0, 0, 0, 0],
[ 0, 0, 0, 0]]])

How to convert RGB image to one-hot encoded 3d array based on color using numpy?

Simply put, what I'm trying to do is similar to this question: Convert RGB image to index image, but instead of 1-channel index image, I want to get n-channel image where img[h, w] is a one-hot encoded vector. For example, if the input image is [[[0, 0, 0], [255, 255, 255]], and index 0 is assigned to black and 1 is assigned to white, then the desired output is [[[1, 0], [0, 1]]].
Like the previous person asked the question, I have implemented this naively, but the code runs quite slowly, and I believe a proper solution using numpy would be significantly faster.
Also, as suggested in the previous post, I can preprocess each image into grayscale and one-hot encode the image, but I want a more general solution.
Example
Say I want to assign white to 0, red to 1, blue to 2, and yellow to 3:
(255, 255, 255): 0
(255, 0, 0): 1
(0, 0, 255): 2
(255, 255, 0): 3
, and I have an image which consists of those four colors, where image is a 3D array containing R, G, B values for each pixel:
[
[[255, 255, 255], [255, 255, 255], [255, 0, 0], [255, 0, 0]],
[[ 0, 0, 255], [255, 255, 255], [255, 0, 0], [255, 0, 0]],
[[ 0, 0, 255], [ 0, 0, 255], [255, 255, 255], [255, 255, 255]],
[[255, 255, 255], [255, 255, 255], [255, 255, 0], [255, 255, 0]]
]
, and this is what I want to get where each pixel is changed to one-hot encoded values of index. (Since changing a 2d array of index values to 3d array of one-hot encoded values is easy, getting a 2d array of index values is fine too.)
[
[[1, 0, 0, 0], [1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 0, 0]],
[[0, 0, 1, 0], [1, 0, 0, 0], [0, 1, 0, 0], [0, 1, 0, 0]],
[[0, 0, 1, 0], [0, 0, 1, 0], [1, 0, 0, 0], [1, 0, 0, 0]],
[[1, 0, 0, 0], [1, 0, 0, 0], [0, 0, 0, 1], [0, 0, 0, 1]]
]
In this example I used colors where RGB components are either 255 or 0, but I don't want to solutions rely on that fact.
My solution looks like this and should work for arbitrary colors:
color_dict = {0: (0, 255, 255),
1: (255, 255, 0),
....}
def rgb_to_onehot(rgb_arr, color_dict):
num_classes = len(color_dict)
shape = rgb_arr.shape[:2]+(num_classes,)
arr = np.zeros( shape, dtype=np.int8 )
for i, cls in enumerate(color_dict):
arr[:,:,i] = np.all(rgb_arr.reshape( (-1,3) ) == color_dict[i], axis=1).reshape(shape[:2])
return arr
def onehot_to_rgb(onehot, color_dict):
single_layer = np.argmax(onehot, axis=-1)
output = np.zeros( onehot.shape[:2]+(3,) )
for k in color_dict.keys():
output[single_layer==k] = color_dict[k]
return np.uint8(output)
I haven't tested it for speed yet, but at least, it works :)
We could generate the decimal equivalents of each pixel color. With each channel having 0 or 255 as the value, there would be total 8 possibilities, but it seems we are only interested in four of those colors.
Then, we would have two ways to solve it :
One would involve making unique indices from those decimal equivalents starting from 0 till the final color, all in sequence and finally initializing an output array and assigning into it.
Other way would be to use broadcasted comparisons of those decimal equivalents against the colors.
These two methods are listed next -
def indexing_based(a):
b = (a == 255).dot([4,2,1]) # Decimal equivalents
colors = np.array([7,4,1,6]) # Define colors decimal equivalents here
idx = np.empty(colors.max()+1,dtype=int)
idx[colors] = np.arange(len(colors))
m,n,r = a.shape
out = np.zeros((m,n,len(colors)), dtype=int)
out[np.arange(m)[:,None], np.arange(n), idx[b]] = 1
return out
def broadcasting_based(a):
b = (a == 255).dot([4,2,1]) # Decimal equivalents
colors = np.array([7,4,1,6]) # Define colors decimal equivalents here
return (b[...,None] == colors).astype(int)
Sample run -
>>> a = np.array([
... [[255, 255, 255], [255, 255, 255], [255, 0, 0], [255, 0, 0]],
... [[ 0, 0, 255], [255, 255, 255], [255, 0, 0], [255, 0, 0]],
... [[ 0, 0, 255], [ 0, 0, 255], [255, 255, 255], [255, 255, 255]],
... [[255, 255, 255], [255, 255, 255], [255, 255, 0], [255, 255, 0]],
... [[255, 255, 255], [255, 0, 0], [255, 255, 0], [255, 0 , 0]]])
>>> indexing_based(a)
array([[[1, 0, 0, 0],
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 1, 0, 0]],
[[0, 0, 1, 0],
[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 1, 0, 0]],
[[0, 0, 1, 0],
[0, 0, 1, 0],
[1, 0, 0, 0],
[1, 0, 0, 0]],
[[1, 0, 0, 0],
[1, 0, 0, 0],
[0, 0, 0, 1],
[0, 0, 0, 1]],
[[1, 0, 0, 0],
[0, 1, 0, 0],
[0, 0, 0, 1],
[0, 1, 0, 0]]])
>>> np.allclose(broadcasting_based(a), indexing_based(a))
True
A simple implementation involves masking the relevant pixel positions, whether it's for converting from label to color or vice-versa. I show here how to convert between dense (1-channel labels), OHE (one-hot-encoding sparse), and RGB formats. Essentially performing OHE<->RGB<->dense.
Having defined your RGB-encoded input as rgb.
First define the color label to color mapping (no need for a dict here):
>>> colors = np.array([[ 255, 255, 255],
[ 255, 0, 0],
[ 0, 0, 255],
[ 255, 255, 0]])
RGB (h, w, 3) to dense (h, w)
dense = np.zeros(seg.shape[:2])
for label, color in enumerate(colors):
dense[np.all(seg == color, axis=-1)] = label
RGB (h, w, 3) to OHE (h, w, #classes)
Similar to the previous conversion, RGB to one-hot-encoding requires two additional lines:
ohe = np.zeros((*seg.shape[:2], len(colors)))
for label, color in enumerate(colors):
v = np.zeros(len(colors))
v[label] = 1
ohe[np.all(seg == color, axis=-1)] = v
dense (h, w) to RGB (h, w, 3)
rgb = np.zeros((*labels.shape, 3))
for label, color in enumerate(colors):
rgb[labels == label] = color
OHE (h, w, #classes) to RGB (h, w, 3)
Converting from OHE to dense requires one line:
dense = ohe.argmax(-1)
Then you can simply follow dense->RGB.

Numpy arrays with elements as indices to other objects

The following script creates a RGB array from a colour-ramp contained inside a list. Elements of the array 'cabbage' are indices to the list 'cucumber'. The following script creates an array 'cauliflower' with the same shape as 'cabbage' but with the indices replaced with the corresponding tuples from 'cucumber'. Is there a more direct way in Numpy to carry out this procedure?
from numpy import array, shape, zeros
cabbage = array([[0,3,2],[3,2,1],[3,1,0]])
cucumber=[(0,100,0),(0,150,0),(0,200,0),(0,255,0)]
rows ,cols = shape(cabbage)
cauliflower = zeros((rows,cols),dtype=object)
for row in range(rows):
for col in range(cols):
cauliflower[row,col]=cucumber[cabbage[row,col]]
print cauliflower
[[(0, 100, 0) (0, 255, 0) (0, 200, 0)]
[(0, 255, 0) (0, 200, 0) (0, 150, 0)]
[(0, 255, 0) (0, 150, 0) (0, 100, 0)]]
Numpy supports fancy indexing:
>>> from numpy import array, shape, zeros
>>> cabbage = array([[0,3,2],[3,2,1],[3,1,0]])
>>> cucumber=array([(0,100,0),(0,150,0),(0,200,0),(0,255,0)])
>>> cucumber[cabbage]
array([[[ 0, 100, 0],
[ 0, 255, 0],
[ 0, 200, 0]],
[[ 0, 255, 0],
[ 0, 200, 0],
[ 0, 150, 0]],
[[ 0, 255, 0],
[ 0, 150, 0],
[ 0, 100, 0]]])

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