In casual conversation, I have heard the word video used In the manner which you are describing and I think this is what you are looking for.

Google definition:

verb: video; 3rd person present: videos; past participle: videoed; gerund or present participle: videoing 1.

After recording my videotape, what would you do? He declined an invitation to be videoed.

I hope this helps.

What’s your opinion? Why do you think so?