Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th 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
Multiresolution techniques for interactive texture-based volume visualization
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Anisotropic geometric diffusion in surface processing
Proceedings of the conference on Visualization '00
High-quality pre-integrated volume rendering using hardware-accelerated pixel shading
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS workshop on Graphics hardware
Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces
IEEE Transactions on Visualization and Computer Graphics
Variational Principles in Curve and Surface Design
Proceedings of the 5th IMA Conference on the Mathematics of Surfaces
Shrouds: optimal separating surfaces for enumerated volumes
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Detecting critical regions in scalar fields
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Fairing Scalar Fields by Variational Modeling of Contours
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Visualization of Volume Data with Quadratic Super Splines
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Curvature-Based Transfer Functions for Direct Volume Rendering: Methods and Applications
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Transactions on Visualization and Computer Graphics
Fast multiresolution extraction of multiple transparent isosurfaces
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
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We propose an interpolating refinement method for two- and three-dimensional scalar fields defined on hexahedral grids. Iterative fairing of the underlying contours (isosurfaces) provides the function values of new grid points. Our method can be considered as a non-linear variational subdivision scheme for volumes. It can be applied locally for adaptive mesh refinement in regions of high geometric complexity. We use our scheme to increase the quality of low-resolution data sets and to reduce interpolation artifacts in texture-based volume rendering.