Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Octree-based decimation of marching cubes surfaces
Proceedings of the 7th conference on Visualization '96
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
Implant sprays: compression of progressive tetrahedral mesh connectivity
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Semi-regular mesh extraction from volumes
Proceedings of the conference on Visualization '00
Kizamu: a system for sculpting digital characters
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Feature sensitive surface extraction from volume data
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A complete distance field representation
Proceedings of the conference on Visualization '01
Alias-Free Voxelization of Geometric Objects
IEEE Transactions on Visualization and Computer Graphics
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
A Framework for Sample-Based Rendering with O-Buffers
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
O-buffer: a framework for sample-based graphics
IEEE Transactions on Visualization and Computer Graphics
Sparse grid distance transforms
Graphical Models
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We present two distance field representations which can preserve sharp features in original geometric models: the offset distance field (ODF) and the unified distance field (UDF). The ODF is sampled on a special curvilinear grid named an offset grid. The sample points of the ODF are not on a regular grid and they can float in the cells of a regular base grid. The ODF can naturally adapt to curvature variations in the original mesh and can preserve sharp features. We describe an energy minimization approach to convert geometric models to ODFs. The UDF integrates multiple distance field representations into one data structure. By adaptively using different representations for different parts of a shape, the UDF can provide high fidelity surface representation with compact storage and fast rendering speed.