A boundary representation for form features and non-manifold solid objects
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Polygonization of non-manifold implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Progressive simplicial complexes
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Structured topological complexes: a feature-based API for non-manifold topologies
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Interpolating nets of curves by smooth subdivision surfaces
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Combined subdivision schemes for the design of surfaces satisfying boundary conditions
Computer Aided Geometric Design
Efficient compression of non-manifold polygonal meshes
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Piecewise smooth subdivision surfaces with normal control
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Fairing of non-manifolds for visualization
Proceedings of the conference on Visualization '00
A Method for Analysis of C1-Continuity of Subdivision Surfaces
SIAM Journal on Numerical Analysis
Rapid evaluation of Catmull-Clark subdivision surfaces
Proceedings of the seventh international conference on 3D Web technology
ACM SIGGRAPH 2006 Papers
A framework for multi-dimensional adaptive subdivision objects
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Multiresolution geometric details on subdivision surfaces
Proceedings of the 5th international conference on Computer graphics and interactive techniques in Australia and Southeast Asia
Generating Sharp Features on Non-regular Triangular Meshes
ICCS '08 Proceedings of the 8th international conference on Computational Science, Part II
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Commonly-used subdivision schemes require manifold control meshes and produce manifold surfaces. However, it is often necessary to model nonmanifold surfaces, such as several surface patches meeting at a common boundary.In this paper, we describe a subdivision algorithm that makes it possible to model nonmanifold surfaces. Any triangle mesh, subject only to the restriction that no two vertices of any triangle coincide, can serve as an input to the algorithm. Resulting surfaces consist of collections of manifold patches joined along nonmanifold curves and vertices. If desired, constraints may be imposed on the tangent planes of manifold patches sharing a curve or a vertex.The algorithm is an extension of a well-known Loop subdivision scheme, and uses techniques developed for piecewise smooth surfaces.