A modified turn algorithm based novel collision avoidance method for ground vehicles is proposed. Given two points in the plane, the proposed algorithm provides an effective path for collision avoidance in terms of curvature change. As this method alleviates sudden curvature changes and side-slip of the vehicle, it improves the overall driving performance. Further, the non-linear estimator for time-to-collision is introduced in order to improve the performance of collision avoidance. Simulation results demonstrate the superior performance of the proposed algorithm over the existing lane change algorithm.