Procedural function-based modelling of volumetric microstructures

Alexander Pasko, Oleg Fryazinov, Turlif Vilbrandt, Pierre Alain Fayolle, Valery Adzhiev

Research output: Contribution to journalArticlepeer-review

110 Citations (Scopus)


We propose a new approach to modelling heterogeneous objects containing internal volumetric structures with size of details orders of magnitude smaller than the overall size of the object. The proposed function-based procedural representation provides compact, precise, and arbitrarily parametrized models of coherent microstructures, which can undergo blending, deformations, and other geometric operations, and can be directly rendered and fabricated without generating any auxiliary representations (such as polygonal meshes and voxel arrays). In particular, modelling of regular lattices and cellular microstructures as well as irregular porous media is discussed and illustrated. We also present a method to estimate parameters of the given model by fitting it to microstructure data obtained with magnetic resonance imaging and other measurements of natural and artificial objects. Examples of rendering and digital fabrication of microstructure models are presented.

Original languageEnglish
Pages (from-to)165-181
Number of pages17
JournalGraphical Models
Issue number5
Publication statusPublished - Sep 2011
Externally publishedYes


  • Digital fabrication
  • Function representation
  • Lattice
  • Microstructure
  • Porous media
  • Scaffold
  • Tissue engineering


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