Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Introduction to Solid Modeling
Introduction to Solid Modeling
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Generative modeling for computer graphics and CAD: symbolic shape design using interval analysis
Modeling of curves and surfaces in CAD/CAM
Modeling of curves and surfaces in CAD/CAM
An approach to modeling multi-material objects
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Subdivision surfaces in character animation
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Cellular-functional modeling of heterogeneous objects
Proceedings of the seventh ACM symposium on Solid modeling and applications
Constructive hypervolume modeling
Graphical Models - Volume modeling
Trimming for subdivision surfaces
Computer Aided Geometric Design
Modelling function-based mixed-dimensional objects with attributes
Heterogeneous objects modelling and applications
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Models of implicit surfaces and curves trimmed by a solid are discussed in the context of dimensionally heterogeneous object modeling. Both a carrier surface and a trimming solid are modeled using the function representation. Algorithms for polygonization of trimmed surfaces and curves, as well as ray-tracing of trimmed surfaces are described. Illustrative and CAD related examples are given.