Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Polygonization of implicit surfaces
Computer Aided Geometric Design
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
An implicit surface polygonizer
Graphics gems IV
Using distance maps for accurate surface representation in sampled volumes
VVS '98 Proceedings of the 1998 IEEE symposium on Volume visualization
Error estimates for interpolation by compactly supported radial basis functions of minimal degree
Journal of Approximation Theory
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Implicit Objects in Computer Graphics
Implicit Objects in Computer Graphics
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Dynamic triangulation of variational implicit surfaces using incremental Delaunay tetrahedralization
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Point-based modelling and rendering using radial basis functions
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Scattered Data Techniques for Surfaces
Dagstuhl '97, Scientific Visualization
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Radial Basis Functions
Approximation of isosurface in the marching cube: ambiguity problem
VIS '94 Proceedings of the conference on Visualization '94
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Dual Marching Cubes: Primal Contouring of Dual Grids
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Hi-index | 0.00 |
This article discusses an enhanced polygonization algorithm for variational implicit surfaces. The polygonization scheme is a simple hierarchical adaptation of the Marching Cubes algorithm which takes advantage of some properties of variational implicits to produce a proper and efficient sampling of the surface. The technique exploits the fact that variational objects exhibit properties akin to Euclidean distance metrics, thus allowing the polygonizer to quickly ascertain that a given volume does not contain the surface. Timings show that this technique tends to perform faster than Bloomenthal's continuation polygonizer [Bloomenthal J. Graphics Gems IV 1994;324-49].