First-order and second-order statistical analysis of 3d and 2d image structure

Date

2007-06-01

Author

Kalkan, Sinan
Kruger, N.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

172
views

0
downloads

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 regarding potential computer vision applications and existing assumptions about the 3D world. In the second part, we utilize the measurements developed in the first part to investigate how the depth at homogeneous image structures is related to the depth of neighbor edges. For this, we first extract the local 3D structure of regularly sampled points, and then, analyze the coplanarity relation between these local 3D structures. We show that the likelihood to find a certain depth at a homogeneous image patch depends on the distance between the image patch and a neighbor edge. We find that this dependence is higher when there is a second neighbor edge which is coplanar with the first neighbor edge. These results allow deriving statistically based prediction models for depth interpolation on homogeneous image structures.

Subject Keywords

Neuroscience (miscellaneous)

URI

https://hdl.handle.net/11511/41287

Journal

NETWORK-COMPUTATION IN NEURAL SYSTEMS

DOI

https://doi.org/10.1080/09548980701580444

Collections

Department of Computer Engineering, Article

Suggestions

OpenMETU
Core

Local image structures and optic flow estimation Kalkan, Sinan; Worgotter, F.; Lappe, M.; Kruger, N. (Informa UK Limited, 2005-12-01) 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 & Felsbe...
Symmetric Surface Momentum and Centripetal Force for a Particle on a Curved Surface Shikakhwa, M. S. (IOP Publishing, 2018-09-01) The Hermitian surface momentum operator for a particle confined to a 2D curved surface spanned by orthogonal coordinates and embedded in 3D space is expressed as a symmetric expression in derivatives with respect to the surface coordinates and so is manifestly along the surface. This is an alternative form to the one reported in the literature and usually named geometric momentum, which has a term proportional to the mean curvature along the direction normal to the surface, and so "apparently" not along the...
Circularly symmetric solutions of minimal massive gravity at its merger point Sarıoğlu, Bahtiyar Özgür (IOP Publishing, 2019-07-25) I find all the static circularly symmetric solutions of minimal massive 3D gravity at its merger point, construct stationary versions of these and discuss some of their geometric and physical properties. It turns out that apart from a static hairy black hole, there is also a static gravitational soliton, that has been overlooked in the literature.
CP violation in the inclusive b -> sg decay in the framework of multi-Higgs-doublet models Goksu, A; Iltan, EO; Solmaz, L (American Physical Society (APS), 2001-09-01) We study the decay width and CP asymmetry of the inclusive process b-->sg (g denotes gluon) in the multi-Higgs-doublet models with complex Yukawa couplings, including next to leading QCD corrections. We analyze the dependences of the decay width and CP asymmetry on the scale mu and CP-violating parameter theta. We observe that there exists an enhancement in the decay width and CP asymmetry is at the order of 10(-2).
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 ...

Citation Formats

S. Kalkan and N. Kruger, “First-order and second-order statistical analysis of 3d and 2d image structure,” NETWORK-COMPUTATION IN NEURAL SYSTEMS, pp. 129–160, 2007, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/41287.