ACM Transactions on Mathematical Software (TOMS)
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Simulation of natural scenes using textured quadric surfaces
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
SMI '02 Proceedings of the Shape Modeling International 2002 (SMI'02)
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Artificial Intelligence for Engineering Design, Analysis and Manufacturing
3D reconstruction and quantification of porous structures
Computers and Graphics
Bio-CAD modeling and its applications in computer-aided tissue engineering
Computer-Aided Design
Heterogeneous object design: an integrated CAX perspective
Heterogeneous objects modelling and applications
Heterogeneous objects modelling and applications
Efficient evaluation of continuous signed distance to a polygonal mesh
Proceedings of the 28th Spring Conference on Computer Graphics
Functionally heterogeneous porous scaffold design for tissue engineering
Computer-Aided Design
Designing heterogeneous porous tissue scaffolds for additive manufacturing processes
Computer-Aided Design
Dichotomous indexing of array in recursive construction of voxel-graphic images
Automation and Remote Control
Hi-index | 0.00 |
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.