I am classifying images where the color doesn't play any role. So, I grayscaled my images and got just grayscale images. But they are represented by 3 channels. I know, that I can use the following formula:
gray_value = R * 0.299 + G * 0.587 + B * 0.114
to convert RGB image to grayscale image and get grayscale image with just one channel.
My question is, is there a difference between using grayscale images represented by 3 channels or by 1 channel in CNN (not in code or filters but in results)? Do the results vary depending on the number of channels, even when the images are the same in both cases?