grid_sampler¶
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 (Variable): 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 (Variable): 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。
name (str,可选) – 具体用法请参见 Name ,一般无需设置。默认值:None。
返回: Variable(Tensor): 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(Variable),数据类型与 x
一致
代码示例:
import paddle.fluid as fluid
# 一般与 affine_grid 组合使用
x = fluid.data(name='x', shape=[None, 10, 32, 32], dtype='float32')
theta = fluid.layers.data(name='theta', shape=[2, 3], dtype='float32')
grid = fluid.layers.affine_grid(theta=theta, out_shape=[3, 10, 32, 32])
out = fluid.layers.grid_sampler(x=x, grid=grid)