A method for color shade matching obtains a 3D tooth surface representation using an intraoral scanner wherein the 3D tooth surface representation comprises surface data and a spatially resolved angular distribution of color vectors, wherein the spatially resolved angular distribution of color vectors associates one or more point positions from the surface data to the corresponding angular distribution of color vectors. The method identifies one or more shade values, where each shade value is associated with one angular distribution of color vectors from the spatially resolved angular distribution of color vectors, by comparing the angular distribution of color vectors to a set of reference angular distributions of color vectors, wherein each reference angular distribution in the set is associated with a corresponding shade value. The method displays, stores, or transmits the surface data with an indication of the one or more shade values.