torch一些操作

Pytorch文档

• Pytorch 官方文档

https://pytorch.org/docs/stable/index.html

• pytorch 里的一些基础tensor操作讲的不错

https://blog.csdn.net/abc13526222160/category_8614343.html

• 关于pytorch的Broadcast,合并与分割,数学运算,属性统计以及高阶操作

https://blog.csdn.net/abc13526222160/article/details/103520465

broadcast机制

对于涉及计算的两个tensor, 对于数量不匹配的dim, 可以进行自动重复拷贝，使得dim进行批评

Broadcast它能维度扩展和expand一样，它是自动扩展，并且不需要拷贝数据，能够节省内存。关键思想：
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import sys, osimport torch, torchvision
import torch.nn as nn
import torch.nn.functional as F

from PIL import Image
import numpy as np
import pandas as pd
from mpl_toolkits import mplot3d
import matplotlib.pyplot as plt

1. Pytorch索引与切片以及维度变换

TODO: https://zhangkaifang.blog.csdn.net/article/details/103517970

index, view, reshape, squeeze, unsqueeze, transpose/t, permute , expand/repeat
transpose()函数表示矩阵的维度交换，接受的参数为要交换的哪两个维度。

permute: transpose()函数一次只能两两交换。【b, c, h, w】=> 【b, w, h, c】，比如原来一个人的图片，交换过后图片可能不是人了，我们还希望变成原来的样子，可以看成多维度交换，其中参数为新的维度顺序。同样的道理permute函数也会把内存的顺序给打乱，因此要是涉及contious这个错误的时候，需要额外添加.contiguous()函数，来把内存的顺序变得连续。

2.1 合并与分割 cat, stack, split, chunk repeat

• stack一般叠加在新的维度， concatenate在已有的dim上进行扩展, vstack, dstack, hstack分别是在dim = [0, 1, 2]上进行叠加

a = torch.rand([5, 5, 3])print('-'*10 + 'stack' + '-'*10)
t1 = torch.stack([a, a], dim = 0)
print('pre', a.shape, 'post',t1.shape)t1 = torch.stack([a, a], dim = 1)
print('pre', a.shape, 'post',t1.shape)t1 = torch.stack([a, a], dim = 2)
print('pre', a.shape, 'post',t1.shape)t1 = torch.stack([a, a], dim = 3)
print('pre', a.shape, 'post',t1.shape)print('-'*10 + 'concatenate' + '-'*10)
t1 = torch.cat([a, a], dim = 0)
print('pre', a.shape, 'post',t1.shape)t1 = torch.cat([a, a], dim = 1)
print('pre', a.shape, 'post',t1.shape)t1 = torch.cat([a, a], dim = 2)
print('pre', a.shape, 'post',t1.shape)print('-'*10 + 'v-h-d stack' + '-'*10)t1 = torch.vstack([a, a])
print('pre', a.shape, 'post',t1.shape)t1 = torch.hstack([a, a])
print('pre', a.shape, 'post',t1.shape)t1 = torch.dstack([a, a])
print('pre', a.shape, 'post',t1.shape)

----------stack----------
pre torch.Size([5, 5, 3]) post torch.Size([2, 5, 5, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 2, 5, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 5, 2, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 5, 3, 2])
----------concatenate----------
pre torch.Size([5, 5, 3]) post torch.Size([10, 5, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 10, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 5, 6])
----------v-h-d stack----------
pre torch.Size([5, 5, 3]) post torch.Size([10, 5, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 10, 3])
pre torch.Size([5, 5, 3]) post torch.Size([5, 5, 6])

• torch.split函数 按照长度进行切分

torch.split(tensor, split_size_or_sections, dim=0)

split_size_or_sections：需要切分的大小(int or list )
dim：切分维度

• torch.chunk函数 按照数量进行切分

a = torch.rand([6, 256, 10, 10 ])
print('a', a.shape)t1 = torch.split(a, [3,3], dim = 0)
print('dim %d'%(0))
for ti in t1:print(ti.shape)print('dim %d'%(1))
t1 = torch.split(a, [128,128], dim = 1)
for ti in t1:print(ti.shape)print('dim %d'%(2))
t1 = torch.split(a, [5,5], dim = 2)
for ti in t1:print(ti.shape)

a torch.Size([6, 256, 10, 10])
dim 0
torch.Size([3, 256, 10, 10])
torch.Size([3, 256, 10, 10])
dim 1
torch.Size([6, 128, 10, 10])
torch.Size([6, 128, 10, 10])
dim 2
torch.Size([6, 256, 5, 10])
torch.Size([6, 256, 5, 10])

a = torch.rand([6, 256, 10, 10 ])
print('a', a.shape)t1 = torch.chunk(a, 2, dim = 0)
print('dim %d'%(0))
for ti in t1:print(ti.shape)print('dim %d'%(1))
t1 = torch.chunk(a, 2, dim = 1)
for ti in t1:print(ti.shape)print('dim %d'%(2))
t1 = torch.chunk(a, 2, dim = 2)
for ti in t1:print(ti.shape)

a torch.Size([6, 256, 10, 10])
dim 0
torch.Size([3, 256, 10, 10])
torch.Size([3, 256, 10, 10])
dim 1
torch.Size([6, 128, 10, 10])
torch.Size([6, 128, 10, 10])
dim 2
torch.Size([6, 256, 5, 10])
torch.Size([6, 256, 5, 10])

• torch.repeat() & np.tile()

参数为沿着不同维度的扩展, 对于一个给定的tensor 给出其dims以及repeat的次数，类似于np.tile
由后往前进行匹配, 若超出当前的dims, 则新建一个dim, 进行repeat
当超出tensor 本身的 dims时，第一个dim 新起一个dim, 即沿着batch方向进行扩展

参考资料见
https://pytorch.org/docs/stable/generated/torch.Tensor.repeat.html?highlight=repeat#torch.Tensor.repeat

a = torch.tensor([1, 2, 3])
print(a.shape)
t1 = a.repeat(5, 2)
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)t1 = a.repeat(2, 3, 2)
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)a = torch.tensor([[1, 2, 3], [4, 5, 6]])
print(a.shape)t1 = a.repeat([1, 1])
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)t1 = a.repeat([2, 1]) # dim0 repeat 2
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)t1 = a.repeat([1, 2]) # dim1 repeat 2
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)t1 = a.repeat([2, 1, 1]) 
print('-'*10);print(t1.shape, a.shape); print(a,'\n', t1)

torch.Size([3])
----------
torch.Size([5, 6]) torch.Size([3])
tensor([1, 2, 3]) tensor([[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3]])
----------
torch.Size([2, 3, 6]) torch.Size([3])
tensor([1, 2, 3]) tensor([[[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3]],[[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3],[1, 2, 3, 1, 2, 3]]])
torch.Size([2, 3])
----------
torch.Size([2, 3]) torch.Size([2, 3])
tensor([[1, 2, 3],[4, 5, 6]]) tensor([[1, 2, 3],[4, 5, 6]])
----------
torch.Size([4, 3]) torch.Size([2, 3])
tensor([[1, 2, 3],[4, 5, 6]]) tensor([[1, 2, 3],[4, 5, 6],[1, 2, 3],[4, 5, 6]])
----------
torch.Size([2, 6]) torch.Size([2, 3])
tensor([[1, 2, 3],[4, 5, 6]]) tensor([[1, 2, 3, 1, 2, 3],[4, 5, 6, 4, 5, 6]])
----------
torch.Size([2, 2, 3]) torch.Size([2, 3])
tensor([[1, 2, 3],[4, 5, 6]]) tensor([[[1, 2, 3],[4, 5, 6]],[[1, 2, 3],[4, 5, 6]]])

2.2 torch生成grid函数

• torch.arange 类似于 np.arange [left, right), not include right.

• torch.linspace 包括 left, right, 且分割为若干个点

• torch.meshgrid叠加后生成 x 和 y (opencv坐标系)下两个 h*w的tensor。为了组装为后期可以用的点，所以需要先翻转后使用。

xs = torch.linspace(-10, 10, 10)
ys = torch.linspace(-5, 5, 10)x, y = torch.meshgrid(xs, ys, indexing='ij')
z = x + yax = plt.axes(projection= '3d')
ax.plot_surface(x.numpy(), y.numpy(), z.numpy())
plt.show()

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def coords_grid(batch, ht, wd, device, ifReverse = True):#ht,wd 55, 128coords = torch.meshgrid(torch.arange(ht, device=device), torch.arange(wd, device=device))if ifReverse:#NOTE, coords 为 x, y （opencv 坐标系下）, y, x (numpy 坐标系)coords = torch.stack(coords[::-1], dim=0).float() # coords shape [ 2, ht, wd]else:#NOTE coords 为 x, y (numpy 坐标系下)coords = torch.stack(coords, dim=0).float()# 通过[::-1]转变为 y, x(numpy 坐标系)#coords = torch.reshape(coords, [1, 2, ht, wd])coords = coords.repeat(batch, 1, 1, 1)return coords

DEVICE = 'cuda'
grid_opencv = coords_grid(2, 12, 5, DEVICE, ifReverse=True)
grid_numpy = coords_grid(2, 12, 5, DEVICE, ifReverse= False)print(grid_numpy.shape, grid_opencv.shape)def visualize_grid(grid):# sample 1, x & yplot_x = grid[0, 0, :, :].reshape([-1]).cpu().numpy()plot_y = grid[0, 1, :, :].reshape([-1]).cpu().numpy()return plot_x, plot_yplt.figure(figsize=(8,6))
for pici, grid in enumerate([grid_opencv, grid_numpy]):plt.subplot(2, 1, pici + 1)plt.title(['opencv', 'numpy'][pici])plot_x, plot_y = visualize_grid(grid)for i in range(len(plot_x)):plt.scatter([plot_x[i]], [plot_y[i]], c = 'grey', marker = 'o')plt.annotate(xy = (plot_x[i], plot_y[i]), s= str(i))plt.show()

/home/chwei/.local/lib/python3.6/site-packages/torch/functional.py:445: UserWarning: torch.meshgrid: in an upcoming release, it will be required to pass the indexing argument. (Triggered internally at  ../aten/src/ATen/native/TensorShape.cpp:2157.)return _VF.meshgrid(tensors, **kwargs)  # type: ignore[attr-defined]torch.Size([2, 2, 12, 5]) torch.Size([2, 2, 12, 5])

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3.1 数学运算

add/sub/mul/div加减乘除

a = torch.rand(3, 4)
b = torch.rand(4) # 这里基于pytorch 的broadcasting进行了dim 0的 broadcastc = a + bprint(a.shape, b.shape, c.shape)
#print(a+b)
#print(torch.add(a, b))print(torch.all(torch.eq(a-b, torch.sub(a, b))))
print(torch.all(torch.eq(a*b, torch.mul(a, b))))
print(torch.all(torch.eq(a/b, torch.div(a, b))))

torch.Size([3, 4]) torch.Size([4]) torch.Size([3, 4])
tensor(True)
tensor(True)
tensor(True)

3.2 torch.matmul函数

• 基础case 1: 两个tensor 都是1 dim， If both tensors are 1-dimensional, the dot product (scalar) is returned.

• 基础case 2: 两个tensor 都是2 dims, If both arguments are 2-dimensional, the matrix-matrix product is returned.

• 基础case 3: 一个tensor 是1 dim, 另外一个 2dim. tensor with 1 dim进行扩展到2dim, 以适应 matrix-product
  If the first argument is 1-dimensional and the second argument is 2-dimensional, a 1 is prepended to its dimension for the purpose of the matrix multiply. After the matrix multiply, the prepended dimension is removed.
  If the first argument is 2-dimensional and the second argument is 1-dimensional, the matrix-vector product is returned.

• 基础case 4: Batch Brocasted & batch matrix-product
  思路： 把 first dim (batch dim) 排除， 每个sample 进行 matrix-product or vector product
  若 有一个tensor 其维度不匹配， 沿着batch dim进行扩展broadcast之后计算

If both arguments are at least 1-dimensional and at least one argument is N-dimensional (where N > 2), then a batched matrix multiply is returned.

If the first argument is 1-dimensional, a 1 is prepended to its dimension for the purpose of the batched matrix multiply and removed after.

If the second argument is 1-dimensional, a 1 is appended to its dimension for the purpose of the batched matrix multiple and removed after.

The non-matrix (i.e. batch) dimensions are broadcasted (and thus must be broadcastable).

For example, if input is a $(j\times 1\times n\times n)(j\times 1\times n\times n)$ tensor and other is a $(k\times n\times n)(k\times n\times n)$ tensor, out will be a $(j\times k\times n\times n)(j\times k\times n\times n)$ tensor.

这里 $j$ 是 batch dim, 而 matrix product 执行的位置在于$ (1 \times n \times n) \times (k \times n \times n) $

Note that the broadcasting logic only looks at the batch dimensions when determining if the inputs are broadcastable, and not the matrix dimensions.

For example, if input is a $(j\times 1\times n\times m)(j\times 1\times n\times m)$ tensor and other is a $(k\times m\times p)(k\times m\times p)$ tensor, these inputs are valid for broadcasting even though the final two dimensions (i.e. the matrix dimensions) are different. out will be a $(j\times k\times n\times p)(j\times k\times n\times p)$ tensor.

# vector x vector case 1
tensor1 = torch.randn(3)
tensor2 = torch.randn(3)
out = torch.matmul(tensor1, tensor2)
print('input', tensor1.shape, tensor2.shape, 'output',out.shape)
# matrix x matrix case 2
tensor1 = torch.randn(3, 1)
tensor2 = torch.randn(1, 3)
out = torch.matmul(tensor1, tensor2)
print('input', tensor1.shape, tensor2.shape, 'output',out.shape)# matrix x vector case 3
tensor1 = torch.randn(3, 4)
tensor2 = torch.randn(4)
out = torch.matmul(tensor1, tensor2)
print('input', tensor1.shape, tensor2.shape, 'output',out.shape)# batched matrix x broadcasted vector
tensor1 = torch.randn(10, 3, 4) # first dim is batch dim
tensor2 = torch.randn(4)
out = torch.matmul(tensor1, tensor2)
print('input', tensor1.shape, tensor2.shape, 'output',out.shape)# batched matrix x batched matrix
tensor1 = torch.randn(10, 3, 4) # first dim is batch dim
tensor2 = torch.randn(10, 4, 5) # first dim is batch dim
out = torch.matmul(tensor1, tensor2)
# matrix product (3 * 4 ) * (4 * 5) -> 3 * 5
print('input', tensor1.shape, tensor2.shape, 'output',out.shape) # batched matrix x broadcasted matrix
tensor1 = torch.randn(10, 3, 4) # first dim is batch dim
tensor2 = torch.randn(4, 5)
out = torch.matmul(tensor1, tensor2)
# matrix product (3 * 4 ) * (4 * 5) -> 3 * 5
print('input', tensor1.shape, tensor2.shape, 'output',out.shape) 

input torch.Size([3]) torch.Size([3]) output torch.Size([])
input torch.Size([3, 1]) torch.Size([1, 3]) output torch.Size([3, 3])
input torch.Size([3, 4]) torch.Size([4]) output torch.Size([3])
input torch.Size([10, 3, 4]) torch.Size([4]) output torch.Size([10, 3])
input torch.Size([10, 3, 4]) torch.Size([10, 4, 5]) output torch.Size([10, 3, 5])
input torch.Size([10, 3, 4]) torch.Size([4, 5]) output torch.Size([10, 3, 5])

3.3 pow矩阵的次方以及sqrt/rsqrt/exp/log

a =torch.full([2, 2], 3) # 使用torch.full函数创建一个shape[2, 2],元素全部为3的张量
print(a.pow(2))
print(torch.pow(a, 2))
print(a**2)b = a**2
print(b.sqrt())
print(b.rsqrt())         # 平方根的导数print('=============================')
a = torch.exp(torch.ones(2, 2))
print(a)
print(torch.log(a))     # 默认以e为底,使用2为底或者其他的，自己设置.

tensor([[9, 9],[9, 9]])
tensor([[9, 9],[9, 9]])
tensor([[9, 9],[9, 9]])
tensor([[3., 3.],[3., 3.]])
tensor([[0.3333, 0.3333],[0.3333, 0.3333]])
=============================
tensor([[2.7183, 2.7183],[2.7183, 2.7183]])
tensor([[1., 1.],[1., 1.]])

3.4 round矩阵近似运算

.floor()向下取整，.ceil()向上取整，.trunc()截取整数，.frac截取小数。

a = torch.tensor(3.14)
# .floor()向下取整，.ceil()向上取整，.trunc()截取整数，.frac截取小数。
print(a.floor(), a.ceil(), a.trunc(), a.frac())print(a.round())
b = torch.tensor(3.5)
print(b.round())

tensor(3.) tensor(4.) tensor(3.) tensor(0.1400)
tensor(3.)
tensor(4.)

3.6. clamp(裁剪)用的多

主要用在梯度裁剪里面，梯度离散(不需要从网络层面解决，因为梯度非常小，接近0)和梯度爆炸(梯度非常大,100已经算是大的了)。因此在网络训练不稳定的时候，可以打印一下梯度的模看看，w.grad.norm(2)表示梯度的二范数(一般100,1000已经算是大的了，一般10以内算是合适的)。

a.clamp(min):表示tensor a中小于10的都赋值为10，表示最小值为10；

grad = torch.rand(2, 3)*15
print(grad)
print(grad.max(), grad.median(), grad.min())
print('============================================')
print(grad.clamp(10))     # 最小值限定为10，小于10的都变为10；print(grad.clamp(8, 15))
print(torch.clamp(grad, 8, 15))

tensor([[ 3.7078, 11.4988,  7.9875],[ 0.6747,  0.6269, 12.3761]])
tensor(12.3761) tensor(3.7078) tensor(0.6269)
============================================
tensor([[10.0000, 11.4988, 10.0000],[10.0000, 10.0000, 12.3761]])
tensor([[ 8.0000, 11.4988,  8.0000],[ 8.0000,  8.0000, 12.3761]])
tensor([[ 8.0000, 11.4988,  8.0000],[ 8.0000,  8.0000, 12.3761]])

4. 统计属性相关操作 TODO

4.1. norm范数,prod张量元素累乘(阶乘)

4.2. mean/sum/max/min/argmin/argmax

4.3. kthvalue()和topk()

这里： topk(3, dim=1)(最大的3个)返回结果如下图所示，如果把largest设置为False就是默认最小的几个。
这里： kthvalue(k，dim=1)表示第k小的(默认表示小的)。下面图中的一共10中可能，第8小就是表示第3大。

4.4. 比较运算符号>,>=,<,<=,!=,==

greater than表示大于等于。equal表示等于eq。

5. batch检索

torch.where, gather, index_select, masked_select, nonzero函数

TODO: https://www.cnblogs.com/liangjianli/p/13754817.html#3-gather%E5%87%BD%E6%95%B0

5.1 torch.where

高阶操作where和gather

5.2 torch.gather

TODO 依旧不是很理解，没有完全理解
gather 收集输入的特定维度指定位置的数值

注意，torch.gather里的index tensor必须是longtensor类型

• 官方解释
  https://pytorch.org/docs/stable/generated/torch.gather.html?highlight=gather#torch.gather

out[i][j][k] = input[index[i][j][k]][j][k]  # if dim == 0
out[i][j][k] = input[i][index[i][j][k]][k]  # if dim == 1
out[i][j][k] = input[i][j][index[i][j][k]]  # if dim == 2

a = torch.rand([4, 5])
indexes = torch.LongTensor([[4, 2],[3, 1],[2, 4],[1,2]])# 这个在q-learning中的batch actions中常见，注意一下
a_ = torch.gather(a, dim = 1, index = indexes)print(a.shape, a_.shape, '\n', a, '\n', a_)indexes = torch.LongTensor([[ 0, 2, 2], [1, 2, 3]])
a_ = torch.gather(a, dim = 0, index = indexes)
print(a.shape, a_.shape, '\n', a, '\n', a_)

torch.Size([4, 5]) torch.Size([4, 2]) tensor([[0.1330, 0.2177, 0.2177, 0.3287, 0.0809],[0.1803, 0.4438, 0.9827, 0.6353, 0.3548],[0.4980, 0.6792, 0.3885, 0.6338, 0.4985],[0.8367, 0.4682, 0.0805, 0.6161, 0.4861]]) tensor([[0.0809, 0.2177],[0.6353, 0.4438],[0.3885, 0.4985],[0.4682, 0.0805]])
torch.Size([4, 5]) torch.Size([2, 3]) tensor([[0.1330, 0.2177, 0.2177, 0.3287, 0.0809],[0.1803, 0.4438, 0.9827, 0.6353, 0.3548],[0.4980, 0.6792, 0.3885, 0.6338, 0.4985],[0.8367, 0.4682, 0.0805, 0.6161, 0.4861]]) tensor([[0.1330, 0.6792, 0.3885],[0.1803, 0.6792, 0.0805]])

10. torch vision下的一些操作

10.1 F.grid_sample

根据位置 对 batch 里的 feature flow 进行采样，可以理解为index, 但本函数允许index里为float类型（采用bilinear插值实现）
函数

torch.nn.functional.grid_sample(input, grid, mode='bilinear', padding_mode='zeros', align_corners=None)
iven an input and a flow-field grid, computes the output using input values and pixel locations from grid.

input: (N, C, Hin, Win)
grid: (N, Hout, Wout, 2) , 其中最后一维为opencv 坐标系下的x & y,

output: (N, C, Hout, Wout)

NOTE，输入的grid,需根据 input 的Hin, Win进行归一化到 -1 ～ 1，

grid specifies the sampling pixel locations normalized by the input spatial dimensions.

Therefore, it should have most values in the range of [-1, 1]. For example, values x = -1, y = -1 is the left-top pixel of input, and values x = 1, y = 1 is the right-bottom pixel of input.

参考资料：https://pytorch.org/docs/stable/generated/torch.nn.functional.grid_sample.html?highlight=grid_sample#torch.nn.functional.grid_sample
以下通过图片展示如何使用:

DEVICE = 'cuda'def load_image(imfile):img = np.array(Image.open(imfile)).astype(np.uint8)img = torch.from_numpy(img).permute(2, 0, 1).float() # h, w, dim -> dim, h, wreturn img.to(DEVICE)def visualize(img):#input imgshape: 3, w, h# NOTE, dims convert, device convert, numpy convert, and dtype convertreturn img.permute(1, 2, 0).cpu().numpy().astype(np.uint8)def coords_grid(batch, ht, wd, device, ifReverse = True):#ht,wd 55, 128coords = torch.meshgrid(torch.arange(ht, device=device), torch.arange(wd, device=device))if ifReverse:#NOTE, coords 为 x, y （opencv 坐标系下）, y, x (numpy 坐标系)coords = torch.stack(coords[::-1], dim=0).float() # coords shape [ 2, ht, wd]else:#NOTE coords 为 x, y (numpy 坐标系下)coords = torch.stack(coords, dim=0).float()# 通过[::-1]转变为 y, x(numpy 坐标系)#coords = torch.reshape(coords, [1, 2, ht, wd])coords = coords.repeat(batch, 1, 1, 1)return coords

# 载入图片并显示
img1, img2 = load_image('demo-frames/frame_0016.png'), load_image('demo-frames/frame_0017.png')inputImg = torch.cat([img1.unsqueeze(0), img2.unsqueeze(0)], 0)
print(img1.shape, img2.shape, inputImg.shape)#------ visualize -----------
img1_, img2_ = visualize(img1), visualize(img2)plt.subplot(2, 1, 1)
plt.imshow(img1_)plt.subplot(2, 1, 2)
plt.imshow(img2_)
plt.show()

torch.Size([3, 436, 1024]) torch.Size([3, 436, 1024]) torch.Size([2, 3, 436, 1024])

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# 生成grid
hImg, wImg = img1.shape[-2:]grid =  coords_grid(batch = 2, ht = 100, wd = 100, device = 'cuda', ifReverse = True)
print(grid.shape) # dim 1: y & x(numpy 坐标系)， x & y (opencv坐标系)

torch.Size([2, 2, 100, 100])

# grid归一化操作 
grid = grid.permute(0, 2, 3, 1)
ygrid, xgrid = grid.split([1, 1], dim = -1) # 这里的xgrid, ygrid指的是 numpy 坐标系
print(grid.shape, xgrid.shape, ygrid.shape)ygrid = 2 * ygrid/(wImg - 1) -1
xgrid = 2 * xgrid/(hImg - 1) -1grid = torch.cat([ygrid, xgrid], dim=-1)
grid = grid.to(DEVICE)
# 输入的grid 最后一维为 opencv坐标系下的x & yinputImg_ = F.grid_sample(inputImg, grid, align_corners=True) # size 7040, 1, 9,9

torch.Size([2, 100, 100, 2]) torch.Size([2, 100, 100, 1]) torch.Size([2, 100, 100, 1])

plt.subplot(1, 2, 1)
img_i = visualize(inputImg[0, :, :, :])
plt.imshow(img_i)
plt.subplot(1, 2, 2)img_o = visualize(inputImg_[0, :, :, :])
plt.imshow(img_o)
plt.show()print(inputImg.shape, img_i.shape, img_o.shape)

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torch.Size([2, 3, 436, 1024]) (436, 1024, 3) (100, 100, 3)

上/下采样 方法1

F.interpolate

功能：利用插值方法，对输入的张量数组进行上\下采样操作，换句话说就是科学合理地改变数组的尺寸大小，尽量保持数据完整。

官方文档: https://pytorch.org/docs/stable/generated/torch.nn.functional.interpolate.html?highlight=f%20interpolate#torch.nn.functional.interpolate

img1, img2 = load_image('demo-frames/frame_0016.png'), load_image('demo-frames/frame_0017.png')
inputImg = torch.cat([img1.unsqueeze(0), img2.unsqueeze(0)], 0)
print(img1.shape, img2.shape, inputImg.shape)

torch.Size([3, 436, 1024]) torch.Size([3, 436, 1024]) torch.Size([2, 3, 436, 1024])

new_size = (2* inputImg.shape[2], 2 * inputImg.shape[3])
mode = 'bilinear'
inputImg_ = F.interpolate(inputImg, size=new_size, mode=mode, align_corners=True)

plt.subplot(2, 1, 1)
img_i = visualize(inputImg[0, :, :, :])
plt.imshow(img_i)
plt.subplot(2, 1, 2)
img_o = visualize(inputImg_[0, :, :, :])
plt.imshow(img_o)
plt.show()print(inputImg.shape, img_i.shape, img_o.shape)

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torch.Size([2, 3, 436, 1024]) (436, 1024, 3) (872, 2048, 3)