difference between filter and kernel

[nanmehta]

hi thanks for your great work...can you please let me know what is the main difference between kernel and filter.

[hjSim]

We have used the two words interchangingly. Hence you can consider the two words the same in our paper.

[nanmehta]

Could u please help me what exactly is ground truth kernel?
as for Super-resolution we consider ground truth image to be the actually HR image and LR image to be the down-sampled version? So my doubt is what have we actually consider to be a ground truth kernel?

[hjSim]

Here the ground truth kernel refers to the down-samling kernel used in the down-sampling process (Eqn. 2 in the paper). So the ground truth kernel can be specified for the synthetic HR and LR pair, while it is unknown for the real image.

[nanmehta]

thank you.
does ground truth kernel means the kernels present actually in the LR image?