Local image structures and optic flow estimation

Kalkan, Sinan
Worgotter, F.
Lappe, M.
Kruger, N.
Different kinds of local image structures (such as homogeneous, edge-like and junction-like patches) can be distinguished by the intrinsic dimensionality of the local signals. Intrinsic dimensionality makes use of variance from a point and a line in spectral representation of the signal in order to classify it as homogeneous, edge-like or junction-like. The concept of intrinsic dimensionality has been mostly exercised using discrete formulations; however, recent work (Felsberg & Kriger 2003; Kruger & Felsberg 2003) has introduced a continuous definition. The current study analyzes the distribution of local patches in natural images according to this continuous understanding of intrinsic dimensionality. This distribution reveals specific patterns than can be also associated to local image structures established in computer vision and which can be related to orientation and optic flow features. In particular, we link quantitative and qualitative properties of optic-flow error estimates to these patterns. In this way, we also introduce a new tool for better analysis of optic flow algorithms.


First-order and second-order statistical analysis of 3d and 2d image structure
Kalkan, Sinan; Kruger, N. (Informa UK Limited, 2007-06-01)
In the first part of this article, we analyze the relation between local image structures (i.e., homogeneous, edge-like, corner-like or texture-like structures) and the underlying local 3D structure (represented in terms of continuous surfaces and different kinds of 3D discontinuities) using range data with real-world color images. We find that homogeneous image structures correspond to continuous surfaces, and discontinuities are mainly formed by edge-like or corner-like structures, which we discuss regard...
Optic Flow Statistics and Intrinsic Dimensionality
Kalkan, Sinan; Calow, Dirk; Felsberg, Michael; Wörgötter, Florentin; Lappe, Markus; Kruger, Norbert (2004-08-29)
Different kinds of visual sub–structures (such as homogeneous, edge-like and junction-like patches) can be distinguished by the intrinsic dimensionality of the local signals. The concept of intrinsic dimensionality has been mostly exercised using discrete formulations. A recent work [KF03,FK03] introduced a continuous definition and showed that the inherent structure of the intrinsic dimensionality has essentially the form of a triangle. The current study work analyzes the distribution of signals acco...
Multidimensional quantum tunneling in the Schwinger effect
Dumlu, Cesim K. (American Physical Society (APS), 2016-03-22)
We study the Schwinger effect, in which the external field having a spatiotemporal profile creates electron-positron pairs via multidimensional quantum tunneling. Our treatment is based on the trace formula for the QED effective action, whose imaginary part is represented by a sum over complex worldline solutions. The worldlines are multiperiodic, and the periods of motion collectively depend on the strength of spatial and temporal inhomogeneity. We argue that the classical action that leads to the correct ...
Dark matter as a localized scalar in the extra dimension
Iltan, E. O. (Springer Science and Business Media LLC, 2009-12-01)
We consider a standard model singlet which is accessible to a single extra dimension and its zero mode is localized with Gaussian profile around a point different from the origin. This zero-mode scalar is a possible candidate for the dark matter and its annihilation rate is sensitive to the compactification radius of the extra dimension, the localization width and the position. For the case of non-resonant annihilation, we estimated the dark matter scalar location around a point, at a distance similar to 3x...
Solute-specific pore water irrigation: Implications for chemical cycling in early diagenesis
Meile, C; Berg, P; Van Cappellen, P; Tuncay, Kağan (Journal of Marine Research/Yale, 2005-05-01)
In one-dimensional (1D) early diagenetic models, bioirrigation is typically represented by a nonlocal mass transfer or bioirrigation coefficient, alpha. Usually, all pore water species are assigned the same alpha. Here, we show that this assumption can lead to significant errors in estimates of bioirrigation intensities. Using a simplified early diagenetic reaction network, we compute the 3D concentration fields of major pore water species around a vertical burrow, as well as the solute fluxes across the bu...
Citation Formats
S. Kalkan, F. Worgotter, M. Lappe, and N. Kruger, “Local image structures and optic flow estimation,” NETWORK-COMPUTATION IN NEURAL SYSTEMS, pp. 341–356, 2005, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38481.