Blending Operations with an Blending Range Control on Every Primitive’s Subsequent Blend for Non-Zero Implicit Surfaces

Abstract

Among geometric modeling techniques, nonzero implicit surface modeling, such as soft object modeling, has been applied wide for 3D computer graphics and animation due to its lower computing complexity of blending. However, existing blending methods still cannot give non-zero implicit surfaces the ability to individually adjust their primitives’ subsequent blends in sequential blends. Hence, this paper proposes new blending operations that can have an individual blending range control on every primitive’s subsequent blend for non-zero implicit surfaces, such as soft object modeling and Ricci’s constructive geometry. Furthermore, this paper proposes a generalized method to transform some of existing blending operations into the newly proposed blending operations stated above. Base on the generalized method, this paper has transformed conic and hyper-ellipsoidal blends into the proposed blends.