Axis/Gizmo Translation Movement

Hello,

I need help with the axis movement for a gizmo tool. I want the movement like Unity's gizmo, based on camera view and object's rotation. I am current creating a plane to get mouse input and trying to project the input on the axis, but not working out.

 float hitDistance = 0.0f;
 Ray ray= Camera.main.ScreenPointToRay(Input.mousePosition);
 plane = new Plane(Camera.main.transform.forward,object.position);
 
 if (plane.Raycast (ray, out hitDistance)) 
 {
 _currIntersectPosition = GetIntersectPoint (hitDistance, ray);
 Vector3 inputDelta= _currIntersectPosition - _lastIntersectPosition;
 _lastIntersectPosition= _currIntersectPosition 
 
 //if on x-axis
 objMovement = Vector3.Project (inputDelta, object.right);
 object.position+= objMovement;
 }

How do I convert mouse input to local axis movement? Any help appreciated