Output details

Procedural Function-Based Spatial Microstructures

Originality - In this paper we have introduced a new approach to modelling heterogeneous objects that have internal spatial geometric structures with size of details orders of magnitude smaller than the overall size of the object.

Rigour - The proposed function-based procedural representation is mathematically exact and provides compact, precise, and arbitrarily parameterized models of coherent microstructures.

Significance - The design of heterogeneous objects with a complex internal structure becomes increasingly important in the context of much-publicised advances in an emerging area of fabrication and 3D printing. What is especially important in numerous design applications in many industrial and artistic areas is that the proposed framework allows the models to undergo blending, deformations, and other geometric operations; the objects can directly be rendered and fabricated without generating any auxiliary representations (such as polygonal meshes and voxel arrays). Some concrete examples of rendering and digital fabrication of microstructure models are presented in the paper.