Texturing and modeling: a procedural approach
Texturing and modeling: a procedural approach
3d Modeling Using the Acis Kernel and Toolkit
3d Modeling Using the Acis Kernel and Toolkit
Modelling of Material Property Variation for Layered Manufacturing
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Cellular-functional modeling of heterogeneous objects
Proceedings of the seventh ACM symposium on Solid modeling and applications
Shape-driven deformations of functionally defined heterogeneous volumetric objects
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Discretization of functionally based heterogeneous objects
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Representation of porous artifacts for bio-medical applications
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Heterogeneous material modeling with distance fields
Computer Aided Geometric Design
Approximate distance fields with non-vanishing gradients
Graphical Models
A B-spline-based approach to heterogeneous objects design and analysis
Computer-Aided Design
Heterogeneous object modeling: A review
Computer-Aided Design
An implicit complexes framework for heterogeneous objects modelling
Heterogeneous objects modelling and applications
Constructive hypervolume modeling using extended space mappings
Heterogeneous objects modelling and applications
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Solid Freeform Fabrication (SFF) methods have demonstrated the potential to manufacture parts from Functionally Gradient Materials (FGM). One of the keys to success is an accurate and systematic represention of varying material distributions in the geometry. This paper introduces a method called Volumetric Multi-Texturing (VMT) to represent a three dimensional density gradient. The scheme originates from volumetric rendering by texturing, which is used in computer graphics to create fuzzy objects such as clouds and smoke. By analogy, FGM design is envisaged as creating material clouds in a confined geometric space in a structured and controllable manner. Another motivation for pursuing this approach is that, based on our research into expected applications, material gradients will be emphasized near the surface of a part. Our method exploits procedural and implicit schemes to design and acquire density information. The implicit procedural approach, as opposed to an input database, allows a user to interactively create and modify the design patterns without explicitly changing the individual values in the database. Further, it promises convenience in process planning, and efficiency in data storage and computation time. The material gradient modeler is applied to a boundary representation (B-rep) model of the part. Therefore, this scheme can be easily integrated most commercial solid modelers. The theoretical approach, design procedure, and tool path generation for fabricating example parts are presented in the paper.