The technology disclosed relates to manipulating a virtual object. In particular, it relates to detecting a hand in a three-dimensional (3D) sensory space and generating a predictive model of the hand, and using the predictive model to track motion of the hand. The predictive model includes positions of calculation points of fingers, thumb and palm of the hand. The technology disclosed relates to dynamically selecting at least one manipulation point proximate to a virtual object based on the motion tracked by the predictive model and positions of one or more of the calculation points, and manipulating the virtual object by interaction between at least some of the calculation points of the predictive model and the dynamically selected manipulation point.