The Pic is taken in The Shiva temple of Tiruvannamalai in Tamil Nadu. I wonder if it is Nrisingha Dev (Vishnu avatar) or a protector?
This is neither Sri Nrisimha Svami or Sri Sharabheshwara Svami as both these forms have non-human heads. Sri Nrisimha Svami has the face of a lion and the body of a human while Sri Sharabheshwara Svami is essentially an epithet of the mystical "Sharabha" creature.
This icon has a human face with a body of some big cat (lion or tiger). It is none other than Maharshi Vyaghrapada of ancient lore.