How to recover my wiped photos on my iPhone 4 without having a back up?

Yesterday, I did a software update on my iPhone 4 and it was restored to factory settings. I had not backed up my photos onto anything for the past year and I lost about 800-900 photos. My contacts are there still, but photos are gone.

Is there a way to recover those photos back at all? I have tried a couple of online data recovery softwares and no luck yet. Also have called some places and they charge anywhere between $495-$895 and that is outrageous. Any help is appreciated.

No. I'm so sorry.