Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The Ray casting engine and Ray representatives
SMA '91 Proceedings of the first ACM symposium on Solid modeling foundations and CAD/CAM applications
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
More Powerful Solid Modeling Through Ray Representations
IEEE Computer Graphics and Applications
Topological considerations in isosurface generation
ACM Transactions on Graphics (TOG)
On the completeness and conversion of ray representations of arbitrary solids
SMA '95 Proceedings of the third ACM symposium on Solid modeling and applications
Bridging the gap between CSG and Brep via a triple ray representation
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
An approach to modeling multi-material objects
SMA '97 Proceedings of the fourth ACM symposium on Solid modeling and applications
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
An Attempt for Coloring Multichannel MR Imaging Data
IEEE Transactions on Visualization and Computer Graphics
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Marching Intersections: An Efficient Resampling Algorithm for Surface Management
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Heterogeneous material modeling with distance fields
Computer Aided Geometric Design
The Marching Intersections algorithm for merging range images
The Visual Computer: International Journal of Computer Graphics
Topology preserving surface extraction using adaptive subdivision
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Feature-Sensitive Subdivision and Isosurface Reconstruction
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Real-time meshless deformation: Collision Detection and Deformable Objects
Computer Animation and Virtual Worlds - CASA 2005
Surface Extraction from Multi-material CT Data
CAD-CG '05 Proceedings of the Ninth International Conference on Computer Aided Design and Computer Graphics
Bilateral Recovering of Sharp Edges on Feature-Insensitive Sampled Meshes
IEEE Transactions on Visualization and Computer Graphics
Multiresolution heterogeneous solid modeling and visualization using trivariate simplex splines
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
Direct extraction of surface meshes from implicitly represented heterogeneous volumes
Computer-Aided Design
Superquadrics and Angle-Preserving Transformations
IEEE Computer Graphics and Applications
Multi-component heart reconstruction from volumetric imaging
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Extraction of isosurfaces from multi-material CT volumetric data of mechanical parts
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Modeling complex heterogeneous objects with non-manifold heterogeneous cells
Computer-Aided Design
Field modeling with sampled distances
Computer-Aided Design
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Ray representation (Ray-rep) of a solid has been studied and used in the solid modeling community for many years because of its compactness and simplicity. This paper presents a parallel approach for mesh surface modeling from multi-material volume data using an extended Ray-rep as an intermediate, where every homogeneous region is enclosed by a set of two-manifold surface meshes on the resultant model. The approach consists of three major algorithms: firstly, an algorithm is developed to convert the given multi-material volumetric data into a Ray-rep for heterogeneous solid; secondly, filtering algorithm is exploited to process the rays of heterogeneous solid in parallel; and lastly, the adaptive mesh surfaces are generated from the Ray-rep through a dual-contouring like algorithm. Here the intermediate surfaces between two constituent materials can be directly extracted without building the volumetric mesh, and the manifold topology is preserved on each surface patch. Furthermore, general offset surface can be easily computed in this paradigm by designing a special parallel operator for the rays.