Name
Abstract | ||
|---|---|---|
Scale is a widely used notion in computer vision and image understanding that evolved in the form of scale-space theory where the key idea is to represent and analyze an image at various resolutions. Recently, we introduced a notion of local morphometric scale referred to as ''tensor scale'' using an ellipsoidal model that yields a unified representation of structure size, orientation and anisotropy. In the previous work, tensor scale was described using a 2-D algorithmic approach and a precise analytic definition was missing. Also, the application of tensor scale in 3-D using the previous framework is not practical due to high computational complexity. In this paper, an analytic definition of tensor scale is formulated for n-dimensional (n-D) images that captures local structure size, orientation and anisotropy. Also, an efficient computational solution in 2- and 3-D using several novel differential geometric approaches is presented and the accuracy of results is experimentally examined. Also, a matrix representation of tensor scale is derived facilitating several operations including tensor field smoothing to capture larger contextual knowledge. Finally, the applications of tensor scale in image filtering and n-linear interpolation are presented and the performance of their results is examined in comparison with respective state-of-art methods. Specifically, the performance of tensor scale based image filtering is compared with gradient and Weickert's structure tensor based diffusive filtering algorithms. Also, the performance of tensor scale based n-linear interpolation is evaluated in comparison with standard n-linear and windowed-sinc interpolation methods. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.cviu.2012.05.006 | Computer Vision and Image Understanding |
Keywords | Field | DocType |
Image filtering,Image interpolation,Local scale,Morphometry,Scale-space,Tensor scale | Tensor,Interpolation,Scale space,Artificial intelligence,Computer vision,Topology,Scale-space axioms,Algorithm,Tensor field,Smoothing,Structure tensor,Mathematics,Image scaling | Journal |
Volume | Issue | ISSN |
116 | 10 | 1077-3142 |
Citations | PageRank | References |
1 | 0.35 | 53 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Ziyue Xu | 1 | 597 | 35.50 |
| Punam K. Saha | 2 | 1477 | 120.91 |
| Soura Dasgupta | 3 | 679 | 96.96 |