Solids Characterization Using Modeling Wave Structures

This paper introduces a characterization study on solid and 3D shapes based-on the recent Modeling Wave (MW) topological organization. The MW establishes a whole n-connectivity relationship in 3D objects modeling meshes. Now an extended use of MW is carried out. Through a new feature called Cone-Curvature, which originates from the MW concept, a flexible and extended surroundings geometry knowledge for every point of the solid surface is given. No-local nor no-global but a half-connectivity has been used for defining a robust 3D similarity measure. The method presented has been successfully tested in our lab over range data in a wide variety of shapes. Consequently, extended research on 3D objects clustering will be accomplished in the near future.