Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Integrated Volume Rendering and Data Analysis in Wavelet Spaces
Scientific Visualization, Overviews, Methodologies, and Techniques
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
VIS '04 Proceedings of the conference on Visualization '04
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design - Special issue: Geometric modeling and processing 2004
IEEE Transactions on Visualization and Computer Graphics
Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
IEEE Transactions on Visualization and Computer Graphics
Lifting curve parameterization methods to isosurfaces
Computer Aided Geometric Design
Higher order approximating normals and their impact on isosurface shading accuracy
Machine Graphics & Vision International Journal
Self-scheduled parallel isosurfacing using distributed span space on cell
EG PGV'10 Proceedings of the 10th Eurographics conference on Parallel Graphics and Visualization
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We present some new methods for computing estimates of normal vectors at the vertices of a triangular mesh surface approximation to an isosurface which has been computed by the marching cube algorithm. These estimates are required for the smooth rendering of triangular mesh surfaces. The conventional method of computing estimates based upon divided difference approximations of the gradient can lead to poor estimates in some applications. This is particularly true for isosurfaces obtained from a field function, which is defined only for values near to the isosurface. We describe some efficient methods for computing the topology of the triangular mesh surface, which is used for obtaining local estimates of the normals. In addition, a new, one pass, approach for these types of applications is described and compared to existing methods.