Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Efficient algorithms for 3D scan-conversion of parametric curves, surfaces, and volumes
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Three-dimensional distance field metamorphosis
ACM Transactions on Graphics (TOG)
3D scan conversion of CSG models into distance volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
An accurate method for voxelizing polygon meshes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A practical evaluation of popular volume rendering algorithms
VVS '00 Proceedings of the 2000 IEEE symposium on Volume visualization
FastSplats: optimized splatting on rectilinear grids
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
High-Quality Splatting on Rectilinear Grids with Efficient Culling of Occluded Voxels
IEEE Transactions on Visualization and Computer Graphics
Interactive Ray Tracing for Volume Visualization
IEEE Transactions on Visualization and Computer Graphics
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
'Meshsweeper': Dynamic Point-to-Polygonal-Mesh Distance and Applications
IEEE Transactions on Visualization and Computer Graphics
Volume-Based Reasoning and Visualization of Diecastability
VIS '95 Proceedings of the 6th conference on Visualization '95
Texture splats for 3D scalar and vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Feature Preserving Distance Fields
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
Signed Distance Computation Using the Angle Weighted Pseudonormal
IEEE Transactions on Visualization and Computer Graphics
Signed Distance Transform Using Graphics Hardware
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Feature-Sensitive Subdivision and Isosurface Reconstruction
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
3D distance transform adaptive filtering for smoothing and denoising triangle meshes
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Out-of-core distance transforms
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
Sparse grid distance transforms
Graphical Models
Technical Section: Interactive free-form level-set surface-editing operators
Computers and Graphics
Automatic Grid Resolution and Efficient Triangulation of Implicit Vector Field
SIAM Journal on Imaging Sciences
Error-Bounded solid voxelization for polygonal model based on heuristic seed filling
ISVC'05 Proceedings of the First international conference on Advances in Visual Computing
Computing local signed distance fields for large polygonal models
EuroVis'08 Proceedings of the 10th Joint Eurographics / IEEE - VGTC conference on Visualization
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Distance fields are an important volume representation. A high quality distance field facilitates accurate surface characterization and gradient estimation. However, due to Nyquist's Law, no existing volumetric methods based on the linear sampling theory can fully capture surface details, such as corners and edges, in 3D space. We propose a novel complete distance field representation (CDFR) that does not rely on Nyquist's sampling theory. To accomplish this, we construct a volume where each voxel has a complete description of all portions of surface that affect the local distance field. For any desired distance, we are able to extract a surface contour in true Euclidean distance, at any level of accuracy, from the same CDFR representation. Such point-based iso-distance contours have faithful per-point gradients and can be interactively visualized using splatting, providing per-point shaded image quality. We also demonstrate applying CDFR to a cutting edge design for manufacturing application involving high-complexity parts at un-precedented accuracy using only commonly available computational resources.