Interactive techniques for implicit modeling
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
IEEE Transactions on Pattern Analysis and Machine Intelligence
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
Implicit functions with guaranteed differential properties
Proceedings of the fifth ACM symposium on Solid modeling and applications
A PDE-based fast local level set method
Journal of Computational Physics
A remark on computing distance functions
Journal of Computational Physics
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Shape Interrogation for Computer Aided Design and Manufacturing
Shape Interrogation for Computer Aided Design and Manufacturing
Ridges and Ravines on Implicit Surfaces
CGI '98 Proceedings of the Computer Graphics International 1998
Approximate distance fields with non-vanishing gradients
Graphical Models
Bounded Blending for Function-Based Shape Modeling
IEEE Computer Graphics and Applications
Procedural Function-Based Spatial Microstructures
SMI '10 Proceedings of the 2010 Shape Modeling International Conference
Multi-scale space-variant FRep cellular structures
Computer-Aided Design
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The automatic generation of volumes bounding the intersection of two implicit surfaces (isosurfaces of real functions of 3D point coordinates) or feature based volumes (FBV) is presented. Such FBVs are defined by constructive operations, function normalization and offsetting. By applying various offset operations to the intersection of two surfaces, we can obtain variations in the shape of an FBV. The resulting volume can be used as a boundary for blending operations applied to two corresponding volumes, and also for visualization of feature curves and modeling of surface based structures including microstructures.