Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Epsilon geometry: building robust algorithms from imprecise computations
SCG '89 Proceedings of the fifth annual symposium on Computational geometry
Geometric and solid modeling: an introduction
Geometric and solid modeling: an introduction
Using tolerances to guarantee valid polyhedral modeling results
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
Construction and optimization of CSG representations
Computer-Aided Design - Beyond solid modelling
Separation for boundary to CSG conversion
ACM Transactions on Graphics (TOG)
Real functions for representation of rigid solids
Computer Aided Geometric Design
Design compilation of feature-based and constraint-based CAD
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
What is a parametric family of solids?
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Polyhedral modelling with exact arithmetic
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Boundary representation modelling with local tolerances
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Consistent solid and boundary representations from arbitrary polygonal data
Proceedings of the 1997 symposium on Interactive 3D graphics
Towards exact geometric computation
Computational Geometry: Theory and Applications - Special issue: computational geometry, theory and applications
Efficient and accurate B-rep generation of low degree sculptured solids using exact arithmetic
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Boundary representation deformation in parametric solid modeling
ACM Transactions on Graphics (TOG)
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
Transfinite interpolation over implicity defined sets
Computer Aided Geometric Design
Foundation of a computable solid modelling
Theoretical Computer Science
RSVP: A Geometric Toolkit for Controlled Repair of Solid Models
IEEE Transactions on Visualization and Computer Graphics
Removing Zero-Volume Parts from CAD Models for Layered Manufacturing
IEEE Computer Graphics and Applications
Generating Topological Structures for Surface Models
IEEE Computer Graphics and Applications
Finite Element Methods with B-Splines
Finite Element Methods with B-Splines
Erep: An editable, high-level representation for geometric design and analysis
Selected and Expanded Papers from the IFIP TC5/WG5.2 Working Conference on Geometric Modeling for Product Realization
Reconstructing the Topology of a CAD Model: A Discrete Approach
ESA '97 Proceedings of the 5th Annual European Symposium on Algorithms
SCG '05 Proceedings of the twenty-first annual symposium on Computational geometry
Integrated feature-based and geometric CAD data exchange
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Set Membership Classification: A Unified Approach to Geometric Intersection Problems
IEEE Transactions on Computers
Geometrically adaptive numerical integration
Proceedings of the 2008 ACM symposium on Solid and physical modeling
ε-Topological formulation of tolerant solid modeling
Computer-Aided Design
Single-set and class-of-sets semantics for geometric models
Computer-Aided Design
Field modeling with sampled distances
Computer-Aided Design
Proceedings of the 18th International Meshing Roundtable
Proceedings of the 18th International Meshing Roundtable
Finite element analysis in situ
Finite Elements in Analysis and Design
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The problem of geometric (model and system) interoperability is conceptualized as a non-trivial generalization of the problem of part interchangeability in mechanical assemblies. Interoperability subsumes the problems of geometric model quality, exchange, and interchangeability, as well as system integration. Until now, most of the interoperability proposals have been data-centric. Instead, we advocate a query-centric approach that can deliver interoperable solutions to many common geometric tasks in computer aided design and manufacturing, including model acquisition and exchange, metrology, and computer aided design/analysis integration.