Techniques for estimating height of an input object in a sensing region of an input device are provided. The techniques include constructing a signal profile based on measured data. The techniques also include determining a fit value of a fitting parameter of a mathematical function that fits the mathematical function to the signal profile such that the fitting of the mathematical exceeds a quality threshold. The fitting parameter correlates to hover height of the input object and adjusting the fitting parameter affects the fit of the mathematical function to the signal profile. In some embodiments, fitting a curve includes varying the height parameter of a mathematical function until the curve generated by the mathematical function with the selected height parameter is deemed to fit obtained sensor data to within a certain tolerance. In other embodiments, fitting a curve may be accomplished with direct computation.