1. A shim measurement system comprising: a shim measuring device configured to be positioned between a first part and a second part, the shim measuring device including a template and a plurality of gap measurement sensors coupled to the template, each of the gap measurement sensors configured to measure a distance between the first and second parts, the shim measuring device configured to output a matrix of values that represent the plurality of measured distances; and a computer configured to receive the matrix of values and generate a model of a shim based on the matrix of values.