# VL_NNBILIEARSAMPLER - CNN spatial bilinear resampling

Y = VL_NNBILINEARSAMPLER(X,GRID) resamples image X at the spatial locations specified by GRID using bilinear interpolation.

X is a array of dimension H x W x C x N, where (H,W) are the height and width of the image, C is the number of feature channels, and N is the number of images in the batch.

GRID is an array of dimension 2 x Ho x Wo x No, where (Ho,Wo) are the height and width of the output image and No the number of output images in the output batch Y. The output array Y has dimensions Ho x Wo x C x No. The same resampling grid is used for all input feature channels, but each output image in the batchY uses its own grid.

For output image n, GRID(1,:,:,n) specifies the vertical location v of a sample in the input image X and GRID(2,:,:,n) the horizontal location u. The convention follows standard impelemntations of this operator in the literature. Namely:

1. The grid coordinates are normalized in the range [-1,1]. This

means that (-1,-1) is the center of the upper-left pixel in the input image and (+1,+1) the center of the bottom-right pixel.

2. The V,U coordiante planes are stacked in the fisrt dimension of

GRID instead of in the third, as it would be more natural in MatConvNet (as these could be interpreted as 'channels' in GRID).

Furthre, No can be a multiple of N; in this case, it is assumed that there are No/N transforms per input image, hence, the transforms [1 ... No/N] are applied to the first image, [No/N+1 ... 2*No/N] are applied to the second image, etc.

[DX, DGRID] = VL_NNBILINEARSAMPLER(X, GRID, DY) computes the derivatives of the block projected onto DY. DX, DGRID, DY have the same dimensions as X, GRID and Y, respectively.

### CUDNN SUPPORT

If compiled in, the function will use cuDNN's implementation. Note, cuDNN v5 or higher is required. You can use the 'NoCudnn' option to disable cuDNN or 'CuDNN' to activate it back again (the choice sticks until MATLAB purges the MEX files for any reason).