An algorithm for piecewise linear approximation of implicitly defined two-dimensional surfaces
SIAM Journal on Numerical Analysis
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
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Physically-based methods for polygonization of implicit surfaces
Proceedings of the conference on Graphics interface '92
An implicit surface polygonizer
Graphics gems IV
Representations for Rigid Solids: Theory, Methods, and Systems
ACM Computing Surveys (CSUR)
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Implicit Objects in Computer Graphics
Implicit Objects in Computer Graphics
Adaptive Polygonalization of Implicitly Defined Surfaces
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
A method for sharing interactive deformations in collaborative 3D modeling
Proceedings of the ACM symposium on Virtual reality software and technology
A unified approach for hierarchical adaptive tesselation of surfaces
ACM Transactions on Graphics (TOG)
Dual/Primal mesh optimization for polygonized implicit surfaces
Proceedings of the seventh ACM symposium on Solid modeling and applications
Rendering higher order finite element surfaces in hardware
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Rendering the Intersections of Implicit Surfaces
IEEE Computer Graphics and Applications
Isotopic implicit surface meshing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Rendering Planar Cuts Through Quadratic and Cubic Finite Elements
VIS '04 Proceedings of the conference on Visualization '04
Technical Section: Progressive refinement rendering of implicit surfaces
Computers and Graphics
Topology, Accuracy, and Quality of Isosurface Meshes Using Dynamic Particles
IEEE Transactions on Visualization and Computer Graphics
International Journal of Computational Science and Engineering
An adaptive and efficient algorithm for polygonization of implicit surfaces
ICCSA'05 Proceedings of the 2005 international conference on Computational Science and Its Applications - Volume Part III
Hi-index | 0.00 |
This paper describes a simple and efficient polygonization algorithm that gives a practical way to construct adapted piecewise linear representations of implicit surfaces. The method starts with a coarse uniform polygonal approximation of the surface and subdivides each polygon recursively according to local curvature. In this way, the inherent complexity of the problem is tamed by separating structuring from sampling and reducing part of the full three-dimensional search to two dimensions.