Field Functions for Blending Range Controls on Soft Objects

This paper proposes new field functions that have adjustable inner radius and outer radius of influence. Incorporating the proposed field functions with soft object modeling, soft blending, Ricci’s super-ellipsoid blends, Perlin’s set operations, and R-functions, etc. can have blending range controls by adjusting the inner and the outer radii of influence of given field functions. As a result, the sizes of the resulting blending surfaces on soft objects will not be restricted by the sizes of the blended primitive soft objects and can be enlarged and shrunk freely without deforming the overall shapes of blended primitive soft objects. In addition, a small soft object can have a large blending region, and a large one can have a small blending region