بسم الله الرحمن الرحيم
Generally, photography and picture making is unlawful and haram, Hadith sternly warns about it.
إن من أشد الناس عذابا يوم القيامة المصورون (البخارى).
However, in the light of other provisions, the Ulama allowed it at the time of need, such as for Identity Card, PAN card, Aadhar Card and other documents. Allama Sarkhasi, may Allah have mercy upon him, writes:
وإن تحققت الحاجة له إلى استعمال السلاح الذي فيه تمثال فلا بأس باستعماله (شرح السير الكبير 1/463)
Hence it shall be allowed to make video or take photograph of the activity of theft, violence, incident or any other event out of need for justice (ie it is feared that if it is not done then someone’s right shall be lost). However, it shall be unlawful to make video or take photograph unnecessarily and for show in each case.
Allah knows Best!
Darul Uloom Deoband
This answer was collected from the official ifta website of Darul Uloom Deoband in India.