Methods of and systems for three-dimensional digital impression and visualization of objects through an elastomer are disclosed. A method of estimating optical correction parameters for an imaging system include pressing an object of known surface topography against an elastomer and imaging a plurality of views of the surface topography of the object through the elastomer. The method also includes estimating a three-dimensional model of the object based on the plurality of views and estimating optical correction parameters based on a known surface topography of the object and the estimated three-dimensional model. The optical correction parameters correct distortions in the estimated three-dimensional model to better match the known surface topography.