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A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points
Sept. 2012 (vol. 18 no. 9)
pp. 1460-1473
ASCII Text
x 
 
L. G. Zagorchev, A. A. Goshtasby, "A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 9, pp. 1460-1473, Sept., 2012.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2011.276,
author = {L. G. Zagorchev and A. A. Goshtasby},
title = {A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {18},
number = {9},
issn = {1077-2626},
year = {2012},
pages = {1460-1473},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2011.276},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points
IS - 9
SN - 1077-2626
SP1460
EP1473
EPD - 1460-1473
A1 - L. G. Zagorchev,
A1 - A. A. Goshtasby,
PY - 2012
KW - solid modelling
KW - Gaussian processes
KW - smoothing methods
KW - computer graphics
KW - curvature-adaptive implicit surface reconstruction
KW - irregularly spaced points
KW - noisy spaced points
KW - 3D surface reconstruction
KW - signed field zero crossings
KW - first-derivative anisotropic Gaussians
KW - standard deviations
KW - surface curvatures
KW - local data
KW - shape details preservation
KW - noise smoothing
KW - Surface reconstruction
KW - Surface treatment
KW - Shape
KW - Image reconstruction
KW - Smoothing methods
KW - Surface roughness
KW - Rough surfaces
KW - smoothness parameter.
KW - Computer graphics
KW - surface reconstruction
KW - implicit surface
KW - point cloud
VL - 18
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
L. G. Zagorchev, Thayer Sch. of Eng., Dartmouth Coll., Hanover, NH, USA
A. A. Goshtasby, Dept. of Comput. Sci. & Eng., Wright State Univ., Dayton, OH, USA
A curvature-adaptive implicit surface reconstruction for noisy and irregularly spaced points in 3D is introduced. The reconstructed surface traces the zero crossings of a signed field obtained from the sum of first-derivative anisotropic Gaussians centered at the points. The standard deviations of the anisotropic Gaussians are adapted to surface curvatures estimated from local data. A key characteristic of the formulation is its ability to smooth more along edges than across them, thereby preserving shape details while smoothing noise. The behavior of the proposed method under various density and organization of points is investigated and surface reconstruction results are compared with those obtained by well-known methods in the literature.

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Index Terms:
solid modelling,Gaussian processes,smoothing methods,computer graphics,curvature-adaptive implicit surface reconstruction,irregularly spaced points,noisy spaced points,3D surface reconstruction,signed field zero crossings,first-derivative anisotropic Gaussians,standard deviations,surface curvatures,local data,shape details preservation,noise smoothing,Surface reconstruction,Surface treatment,Shape,Image reconstruction,Smoothing methods,Surface roughness,Rough surfaces,smoothness parameter.,Computer graphics,surface reconstruction,implicit surface,point cloud
Citation:
L. G. Zagorchev, A. A. Goshtasby, "A Curvature-Adaptive Implicit Surface Reconstruction for Irregularly Spaced Points," IEEE Transactions on Visualization and Computer Graphics, vol. 18, no. 9, pp. 1460-1473, Sept. 2012, doi:10.1109/TVCG.2011.276
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