How to start a new number increment per day change

I would like to rename images as follows:
IMG_1012015-05-15_001
IMG_1022015-05-15_002
IMG_1032015-05-17_001
IMG_1042015-05-18_001
IMG_1052015-05-19_001
IMG_1062015-05-19_002
IMG_1072015-05-19_003
based on each image’s <Img Year>-<Img Month>-<Img Day>

Apparently what I’m trying to do, is add an incremental number that restarts on each day. Even if a day has a single image, the name must have a number.
I understand that by setting the Naming Collision Rule I will get the incremental number in case of collision, but in that case the next date will not get any number.
Is there a way to do that?

Thanks in advance!!

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Reply to #1:
The best solution is to use the name collision rules. I know it won't add the _001 to the files not having a collision. Those you will have to add in a new batch afterwards. I cannot see any other solution for this, unfortunately.

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