Name
Abstract | ||
|---|---|---|
We describe a new approach for elucidating the nonlinear degrees of freedom in a distribution of shapes depicted in digital images. By combining a deformation-based method for measuring distances between two shape configurations together with multidimensional scaling, a method for determining the number of degrees of freedom in a shape distribution is described. In addition, a method for visualizing the most representative modes of variation (underlying shape parameterization) in a nuclei shape distribution is also presented. The novel approach takes into account the nonlinear nature of shape manifolds and is related to the ISOMAP algorithm. We apply the method to the task of analyzing the shape distribution of HeLa cell nuclei and conclude that approximately three parameters are responsible for their shape variation. Excluding differences in size, translation, and orientation, these are: elongation, bending (concavity), and shifts in mass distribution. In addition, results show that, contrary to common intuition, the most likely nuclear shape configuration is not symmetric. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1109/ISBI.2008.4541042 | 2008 IEEE INTERNATIONAL SYMPOSIUM ON BIOMEDICAL IMAGING: FROM NANO TO MACRO, VOLS 1-4 |
Keywords | Field | DocType |
nuclear shape analysis, nonlinear, dimension reduction, image registration | Point distribution model,Computer vision,Active shape model,Degrees of freedom (statistics),Nonlinear system,Parametrization,Mass distribution,Artificial intelligence,Mathematics,Multidimensional systems,Shape analysis (digital geometry) | Conference |
ISSN | Citations | PageRank |
1945-7928 | 10 | 0.89 |
References | Authors | |
9 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Gustavo K. Rohde | 1 | 395 | 41.81 |
| Wei Wang | 2 | 104 | 7.88 |
| Tao Peng | 3 | 61 | 7.57 |
| Robert F Murphy | 4 | 851 | 78.19 |