DocumentCode :
1013932
Title :
On curvature estimation of ISO surfaces in 3D gray-value images and the computation of shape descriptors
Author :
Rieger, Bernd ; Timmermans, Frederik J. ; Van Vliet, Lucas J. ; Verbeek, Piet W.
Author_Institution :
Dept. of Appl. Phys., Delft Univ. of Technol., Netherlands
Volume :
26
Issue :
8
fYear :
2004
Firstpage :
1088
Lastpage :
1094
Abstract :
In this paper, we present a novel method to estimate curvature of iso gray-level surfaces in gray-value images. Our method succeeds where standard isophote curvature estimation methods fail. There is neither a segmentation of the surface needed nor a parametric model assumed. Our estimator works on the orientation field of the surface. This orientation field and a description of local structure is obtained by the Gradient Structure Tensor. The estimated orientation field has discontinuities mod π. It is mapped via the Knutsson mapping to a continuous representation. The principal curvatures of the surface, a coordinate invariant property, are computed in this mapped representation. From these curvatures, locally the bending energy is computed to describe the surface shape. An extensive evaluation shows that our curvature estimation is robust even in the presence of noise, independent of the scale of the object and furthermore the relative error stays small.
Keywords :
computational geometry; estimation theory; gradient methods; image processing; tensors; 3D gray value images; Knutsson mapping; bending energy; coordinate invariant property; curvature estimation; gradient structure tensor; iso gray level surfaces; shape descriptors computation; ISO standards; Image segmentation; Noise robustness; Parametric statistics; Rough surfaces; Shape; Surface fitting; Surface morphology; Surface roughness; Tensile stress; Knutsson mapping.; Principal curvatures; gradient structure tensor; local surface measures; surface area; Algorithms; Artificial Intelligence; Cluster Analysis; Color; Colorimetry; Computer Graphics; Image Enhancement; Image Interpretation, Computer-Assisted; Imaging, Three-Dimensional; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Pattern Recognition, Automated; Reproducibility of Results; Sensitivity and Specificity; Signal Processing, Computer-Assisted; User-Computer Interface;
fLanguage :
English
Journal_Title :
Pattern Analysis and Machine Intelligence, IEEE Transactions on
Publisher :
ieee
ISSN :
0162-8828
Type :
jour
DOI :
10.1109/TPAMI.2004.50
Filename :
1307015
Link To Document :
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