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paddle.nn / functional / grid_sample
grid_sample¶
-
paddle.nn.function.grid_sample(x, grid, mode='bilinear', padding_mode='zeros', align_corners=True, name=None):
该OP基于flow field网格的对输入X进行双线性插值采样。网格通常由affine_grid生成, shape为[N, H, W, 2],是shape为[N, H, W]的采样点张量的(x, y)坐标。 其中,x坐标是对输入数据X的第四个维度(宽度维度)的索引,y坐标是第三维度(高维度)的索引,最终输出采样值为采样点的4个最接近的角点的双线性插值结果,输出张量的shape为[N, C, H, W]。
step 1:
得到(x, y)网格坐标,缩放到[0,h -1/W-1]
grid_x = 0.5 * (grid[:, :, :, 0] + 1) * (W - 1) grid_y = 0.5 * (grid[:, :, :, 1] + 1) * (H - 1)
step 2:
在每个[H, W]区域用网格(X, y)作为输入数据X的索引,并将双线性插值点值由4个最近的点表示。
wn ------- y_n ------- en
| | |
| d_n |
| | |
x_w --d_w-- grid--d_e-- x_e
| | |
| d_s |
| | |
ws ------- y_s ------- wn
x_w = floor(x) // west side x coord
x_e = x_w + 1 // east side x coord
y_n = floor(y) // north side y coord
y_s = y_s + 1 // south side y coord
d_w = grid_x - x_w // distance to west side
d_e = x_e - grid_x // distance to east side
d_n = grid_y - y_n // distance to north side
d_s = y_s - grid_y // distance to south side
wn = X[:, :, y_n, x_w] // north-west point value
en = X[:, :, y_n, x_e] // north-east point value
ws = X[:, :, y_s, x_w] // south-east point value
es = X[:, :, y_s, x_w] // north-east point value
output = wn * d_e * d_s + en * d_w * d_s
+ ws * d_e * d_n + es * d_w * d_n
- 参数:
-
x (Tensor): 输入张量,维度为 \([N, C, H, W]\) 的4-D Tensor,N为批尺寸,C是通道数,H是特征高度,W是特征宽度, 数据类型为float32或float64。
grid (Tensor): 输入网格数据张量,维度为 \([N, H, W, 2]\) 的4-D Tensor,N为批尺寸,C是通道数,H是特征高度,W是特征宽度, 数据类型为float32或float64。
mode (str, optional): 插值方式,可以为 'bilinear' 或者 'nearest'. 默认值:'bilinear'。
padding_mode (str, optional) 当原来的索引超过输入的图像大小时的填充方式。可以为 'zeros', 'reflection' 和 'border'. 默认值:'zeros'。
align_corners (bool, optional): 一个可选的bool型参数,如果为True,则将输入和输出张量的4个角落像素的中心对齐,并保留角点像素的值。 默认值:True。
name (str,可选) – 具体用法请参见 Name ,一般无需设置。默认值:None。
返回: 输入X基于输入网格的双线性插值计算结果,维度为 \([N, C, H, W]\) 的4-D Tensor
返回类型:变量(Tensor),数据类型与 x
一致
代码示例:
import paddle
import paddle.nn.functional as F
import numpy as np
# shape=[1, 1, 3, 3]
x = np.array([[[[-0.6, 0.8, -0.5],
[-0.5, 0.2, 1.2],
[ 1.4, 0.3, -0.2]]]]).astype("float64")
# grid shape = [1, 3, 4, 2]
grid = np.array(
[[[[ 0.2, 0.3],
[-0.4, -0.3],
[-0.9, 0.3],
[-0.9, -0.6]],
[[ 0.4, 0.1],
[ 0.9, -0.8],
[ 0.4, 0.5],
[ 0.5, -0.2]],
[[ 0.1, -0.8],
[-0.3, -1. ],
[ 0.7, 0.4],
[ 0.2, 0.8]]]]).astype("float64")
x = paddle.to_tensor(x)
grid = paddle.to_tensor(grid)
y_t = F.grid_sample(
x,
grid,
mode='bilinear',
padding_mode='border',
align_corners=True)
print(y_t)
# output shape = [1, 1, 3, 4]
# [[[[ 0.34 0.016 0.086 -0.448]
# [ 0.55 -0.076 0.35 0.59 ]
# [ 0.596 0.38 0.52 0.24 ]]]]
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