Professor Ganter is involved in applied computational geometry, solid modeling and computer graphics. His main research activities focus on application of computational techniques to engineering problems.

Research involves the development of new data representation for solid modeling (termed implicit solid modeling or F-Reps), development of implicit solids for design, development of implicit solids for layered manufacturing, extension of techniques for skeleton generation for implicit solid modeling, refinement of previously developed surface-surface intersection algorithms.

Current work focuses on 3D volume (voxel) space representations, object segmentation (including biological), wavelets representations of volume data.  Development of new materials and processes for 3D printing and 3D printing systems (including ceramic printing materials).

Prior research work includes cam design, wire-frame to solid modeling data conversion, solid modeling development, swept solids, 3-D convex hull algorithms, dynamic collision detection, surface-surface intersection algorithms, the collection of rule sets and implementation of a molding parting line development system, and the use and extension of feature extraction techniques of solid modeling for the development of molding patterns, and fusion of multi-spectral vision images for improved machine vision and recognition.