Paper Info
Title
Accurate Isosurface Interpolation with Hermite Data
Abstract
In this work we study the interpolation problem in contouring methods such as Marching Cubes. Traditionally, linear interpolation is used to define the position of an is vertex along a zero-crossing edge, which is a suitable approach if the underlying implicit function is (approximately) piecewise linear along each edge. Non-linear implicit functions, however, are frequently encountered and linear interpolation leads to inaccurate is surfaces with visible reconstruction artifacts. We instead utilize the gradient of the implicit function to generate more accurate is surfaces by means of Hermite interpolation techniques. We propose and compare several interpolation methods and demonstrate clear quality improvements by using higher order interpolants. We further show the effectiveness of the approach even when Hermite data is not available and gradients are approximated using finite differences.
Year
DOI
Venue
2015
10.1109/3DV.2015.36
3DV
Keywords
Field
DocType
Marching Cubes,Hermite interpolation,Isosurface Extraction
Topology,Nearest-neighbor interpolation,Spline interpolation,Interpolation,Stairstep interpolation,Algorithm,Trilinear interpolation,Linear interpolation,Hermite interpolation,Mathematics,Bilinear interpolation
Conference
Citations 
PageRank 
References 
3
0.41
17
Authors
3
Name
Order
Citations
PageRank
Simon Fuhrmann11578.62
Michael Kazhdan22940140.03
Michael Goesele3100669.58