Methods, apparatus, and systems for medical procedures are disclosed herein for receiving an input of a plurality of measured coordinates of a respective plurality of position transducers of a probe inside a body of a subject, receiving a measured voltage measurement output by the probe, determining a cost function based on a model of known mechanical properties of the probe compared to the measured coordinates with respect to shapes that can be assumed by the probe in the body and further based on an expected voltage value compared to the measured voltage measurement, selecting a shape based on the cost function, generating corrected coordinates of the points along the probe based on the shape and displaying a representation of the probe using the corrected coordinates.