Using Arduino to control a heater using the heaters TCR

Hello,I am new to this and I need to know if this is possible.
The problem is I need to control the temperature of a thin film heater by using the temperature coefficient of Resistance (TCR)of the heater. The heater has a linear relationship between the increasing temperature and the resistance. The resistance increases linearly with temperature increase.

Currently, i use PID and SSR and a Thermocouple to control the heater. I need to find ways to use the TCR to replace my current setup.

I will need to keep monitoring the resistance as the heater is on either through the voltage and current or direct measurement. Then this resistance is fed back to a unit(Arduino?) and the unit will talk to the SSR on power input to the heater.

Is this something that can be done with arduino?

You could use a constant-current supply. Knowing the current and measuring the voltage will tell you the resistance.