Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
ACM Transactions on Graphics (TOG)
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Polygonization of non-manifold implicit surfaces
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Reducing aliasing artifacts in iso-surfaces of binary volumes
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
Fairing of non-manifolds for visualization
Proceedings of the conference on Visualization '00
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Shape Analysis and Classification: Theory and Practice
Shape Analysis and Classification: Theory and Practice
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
Model Generation from Multiple Volumes Using Constrained Elastic SurfaceNets
IPMI '99 Proceedings of the 16th International Conference on Information Processing in Medical Imaging
Constrained Elastic Surface Nets: Generating Smooth Surfaces from Binary Segmented Data
MICCAI '98 Proceedings of the First International Conference on Medical Image Computing and Computer-Assisted Intervention
Shrouds: optimal separating surfaces for enumerated volumes
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Shape Representation Using Space Filled Sub-Voxel Distance Fields
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Material Interface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
VIS '04 Proceedings of the conference on Visualization '04
Geometric fairing of irregular meshes for free-form surface design
Computer Aided Geometric Design
Construction of Simplified Boundary Surfaces from Serial-sectioned Metal Micrographs
IEEE Transactions on Visualization and Computer Graphics
Feature preserving Delaunay mesh generation from 3D multi-material images
SGP '09 Proceedings of the Symposium on Geometry Processing
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We present a new algorithm extracting and fairing surfaces from segmented volumes composed of multiple materials. In a first pass, the material boundaries in the volume are smoothed considering signed distance functions for the individual materials. Second, we apply a marching-cubes-like contouring method providing initial meshes defining material boundaries. Non-manifold features emerge along lines where more than two materials encounter. Finally, the mesh geometry is relaxed in a constrained fairing process. We use our algorithm to construct a heart model from segmented time-varying magnetic resonance images. Information concerning the heart ontology is used to merge certain structures to functional units.