Systems and techniques for designing a digital dental matrix with improved interproximal contacts are disclosed including generating a digital three-dimensional model of a future dental anatomy of a patient, the future dental anatomy representing an intended shape of at least one tooth of the patient, selecting one or more pairs of adjacent teeth in the 3D model, for each selected pair of teeth, determining a location and orientation in the interproximal space of the adjacent teeth to insert a digital 3D geometry having one or more initial parameters, and inserting the digital 3D geometry at the determined location and orientation.