The video was released following Black Lives Matter protests in reaction to the shooting.
Walter DeLeon survived being shot in the head last June, but he was left with severe and lasting injuries. Warning: Graphic images.
LAPD Officer Clifford Proctor fatally shot unarmed Brendon Glenn, a homeless man, in May.
Los Angeles has seen nearly twice as many police shootings this year than the last, and a recent investigation found blacks are shot by officers at nearly three times the rate as whites and Latinos.
The homeless man shot dead by police in a struggle captured on video Sunday was reaching for an officer's weapon, the Los Angeles police chief says.
"We have a trained and heavily armed person who is hunting for police officers," Riverside Police Chief said.