Does it constitute infringement?

This violates your right of reputation, and the analysis is as follows:

Infringement analysis:

Others put photos on the internet without your permission, which does not constitute an infringement of your portrait right, because the infringement of portrait right must be for profit;

Insulting your photos with words is in line with insulting and slandering others' personality and infringing on your reputation;

Solution:

You can negotiate with the other party and ask the other party to stop the infringement, influence and apologize. If serious mental damage is caused, you can claim compensation. If negotiation fails, a lawsuit can be brought to the court to demand the other party to stop the infringement, influence and apologize. You can also ask your network service provider to block or disconnect this information. If the website manager fails to take measures after receiving your request, you can take the infringer and the website as defendants and ask them to bear joint liability.

Relevant regulations:

Tort Liability Law of People's Republic of China (PRC)

Thirty-sixth network users and network service providers who use the network to infringe upon the civil rights and interests of others shall bear the tort liability.

If a network user uses the network service to commit infringement, the infringed party has the right to notify the network service provider to take necessary measures such as deleting, shielding and disconnecting the link. If the network service provider fails to take necessary measures in time after receiving the notice, it shall be jointly and severally liable with the network users for the enlarged part of the damage.

If the network service provider knows that the network users use their network services to infringe upon the civil rights and interests of others and fails to take necessary measures, it shall bear joint liability with the network users.