Name
Title | ||
|---|---|---|
Efficient representation of shape variability using surface-based free-vibration modes |
Abstract | ||
|---|---|---|
The efficient representation of shape and shape variability is a key issue in 3D image analysis and processing. One of the common goals is the ability to express the necessary amount of shape variability with as few parameters as possible. In this paper, we focus on the modeling of shape variability with free surface vibration modes. One advantage of this approach compared to volumetric representations is that we do not have to model the interior of an elastic object, but rather its triangulated surface only. As in the case of 3D statistical point-distribution models it can be assumed that a weighted sum of a mean shape and a number of variation modes can efficiently approximate the shape of anatomical objects. In our case the variation modes are eigenvectors of a stiffness-matrix. Based on a given surface triangulation we define a physical model by placing mass points at the vertices and coil- and leaf-spring elements at the edge positions of the triangulation. The Lagrange equations of this mechanical system possess solutions corresponding to free vibration modes. Ordered by wavelength, these modes can be used to efficiently approximate shape variability in a coarse to fine manner, similar to a Fourier decomposition. To validate our approach, we applied the method to triangulated surfaces of segmented lumbar vertebrae and femur from CT data sets. Compared to corresponding statistical shape models free surface vibrations are slightly less efficient in approximating natural variability of anatomical shape. However, model building based on the new method is possible without a large learning set as required by statistical shape modeling. |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1117/12.431103 | Proceedings of SPIE |
Keywords | Field | DocType |
physical modeling,free vibration modes,shape modeling,shape variability,triangulation | Active shape model,Point distribution model,Free surface,Mathematical analysis,Surface triangulation,Fourier series,Triangulation (social science),Normal mode,Geometry,Mathematics,Shape analysis (digital geometry) | Conference |
Volume | ISSN | Citations |
4322 | 0277-786X | 0 |
PageRank | References | Authors |
0.34 | 0 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lorenz Cristian | 1 | 893 | 100.01 |
| Michael R. Kaus | 2 | 100 | 9.41 |
| Vladimir Pekar | 3 | 261 | 24.85 |
| Jürgen Weese | 4 | 774 | 92.69 |