Blending Operations with Blending Range Controls on Primitives’ Subsequent Blends

Abstract

In implicit surfaces, most existing blends keep their primitives’ properties unchanged on nonblending regions, like pure Boolean set operations Max/Min(f1,…,fk). Hence, when they are used as a new primitive in other blends, their primitives always have similar subsequent blending surfaces with the other primitives in their subsequent blends. To solve this problem, this paper proposes new blending operations that can provide parameters to individually adjust their primitives’ subsequent blending surfaces, without deforming their original blending surfaces. The newly proposed blending operations provide parameters m1,…,mk to enable their primitives f1,…,fk to behave like Max/Min (f1/m1,…,fk/mk) on non-blending regions and its original blending surface does not change whatever positive values m1,…,mk are set. As a result, the subsequent blending surfaces of their primitives f1,…,fk can be adjusted respectively by varying m1,…,mk. Furthermore, this paper proposes a generalized method that can transform some of existing blending operators into the proposed blending operations stated above.