<p>This study introduces an input shaping method that integrates Bezier functions with Laplace transformation to suppress residual vibrations in bridge crane systems. The Bezier function enables smooth and continuous trajectory generation, while the Laplace-domain approach provides a rigorous analytical basis for solutions and control design. By expressing the system’s dynamic response in the Laplace domain under a Bezier-defined input, the proposed method allows for the precise construction of input shapers that respect acceleration constraints and achieve the desired final conditions of the crane system. The effectiveness of the Zero-Vibration, Zero-Vibration-Derivative, and Extra Insensitive input shapers is examined through numerical simulations that analyze the complete kinematic response of the system. Special focus is given to a detailed comparison between the Zero-Vibration-Derivative and Extra Insensitive shapers in terms of their robustness and performance. The Extra Insensitive shaper is further enhanced through an optimization process involving a secondary design point, which improves its ability to suppress residual oscillations under varying natural frequencies, as demonstrated through multiple case studies involving different cable lengths and system parameters.</p>