Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
A survey of ray tracing acceleration techniques
An introduction to ray tracing
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Functional optimization for fair surface design
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Matrix computations (3rd ed.)
Surface simplification using quadric error metrics
Proceedings of the 24th 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
The digital Michelangelo project: 3D scanning of large statues
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th 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
Introduction to Implicit Surfaces
Introduction to Implicit Surfaces
Dual contouring of hermite data
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
A Robust Procedure to Eliminate Degenerate Faces from Triangle Meshes
VMV '01 Proceedings of the Vision Modeling and Visualization Conference 2001
Estimating the tensor of curvature of a surface from a polyhedral approximation
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
The asymptotic decider: resolving the ambiguity in marching cubes
VIS '91 Proceedings of the 2nd conference on Visualization '91
VIS '94 Proceedings of the conference on Visualization '94
Polygon mesh repairing: An application perspective
ACM Computing Surveys (CSUR)
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Many mesh processing algorithms assume the actual geometry of a triangle mesh to be characterized by the vertex positions only. From the manifold point of view however, triangle meshes have to be considered as continuous piecewise linear surfaces. In sufficiently smooth and flat regions of the surface this observation does not really matter since any triangulation will yield a decent approximation to the underlying geometry. In the presence of sharply curved features however, this is not true. Here, severe alias-artifacts can affect the perceived surface quality and can lead to quite bad approximation behavior.In this paper we will discuss several consequences of this observation and present recently developed algorithms for feature sensitive mesh generation and re-meshing. We will report recent results in feature sensitive surface extraction from volume data, surface anti-aliasing by remeshing of blend regions in technical data sets, and diffusion based remeshing of triangle meshes.