Relations Between Reconstructed 3D entities

2008-01-22
Pugeault, Nicolas
Kalkan, Sinan
Wörgötter, Florentin
Başeski, Emre
Kruger, Norbert
In this paper, we first propose an analytic formulation for the position’s and orientation’s uncertainty of local 3D line descriptors reconstructed by stereo. We evaluate these predicted uncertainties with Monte Carlo simulations, and study their dependency on different parameters (position and orientation). In a second part, we use this definition to derive a new formulation for inter–features distance and coplanarity. These new formulations take into account the predicted uncertainty, allowing for better robustness. We demonstrate the positive effect of the modified definitions on some simple scenarios.
Proceedings of the Third International Conference on Computer Vision Theory and Applications

Suggestions

Transformations of entangled mixed states of two qubits
Alkuş, Ümit; Turgut, Sadi; Department of Physics (2013)
In this thesis, the entangled mixed states of two qubits are considered. In the case where the matrix rank of the corresponding density matrix is 2, such a state can be purified to a pure state of 3 qubits. By utilizing this representation, the classification of such states of two qubits by stochastic local operations assisted by classical communication (SLOCC) is obtained. Also for such states, the optimal ensemble that appears in the computation of the concurrence and entanglement of formation is obtained.
Dynamics of Hopfield-Type Neural Networks with Modulo Periodic Unpredictable Synaptic Connections, Rates and Inputs
Akhmet, Marat; Tleubergenova, Madina; Zhamanshin, Akylbek (2022-11-01)
In this paper, we rigorously prove that unpredictable oscillations take place in the dynamics of Hopfield-type neural networks (HNNs) when synaptic connections, rates and external inputs are modulo periodic unpredictable. The synaptic connections, rates and inputs are synchronized to obtain the convergence of outputs on the compact subsets of the real axis. The existence, uniqueness, and exponential stability of such motions are discussed. The method of included intervals and the contraction mapping princip...
THE COMPLEXITY OF THE TOPOLOGICAL CONJUGACY PROBLEM FOR TOEPLITZ SUBSHIFTS
Kaya, Burak (2017-06-01)
In this paper, we analyze the Borel complexity of the topological conjugacy relation on Toeplitz subshifts. More specifically, we prove that topological conjugacy of Toeplitz subshifts with separated holes is hyperfinite. Indeed, we show that the topological conjugacy relation is hyperfinite on a larger class of Toeplitz subshifts which we call Toeplitz subshifts with growing blocks. This result provides a partial answer to a question asked by Sabok and Tsankov.
Extended dynamical symmetries of Landau levels in higher dimensions
Kürkcüoğlu, Seçkin; YURDUŞEN, İSMET (Springer Science and Business Media LLC, 2020-02-14)
Continuum models for time-reversal (TR) invariant topological insulators (Tis) in d >= 3 dimensions are provided by harmonic oscillators coupled to certain SO(d) gauge fields. These models are equivalent to the presence of spin-orbit (SO) interaction in the oscillator Hamiltonians at a critical coupling strength (equivalent to the harmonic oscillator frequency) and leads to flat Landau Level (LL) spectra and therefore to infinite degeneracy of either the positive or the negative helicity states depending on...
The energy spectrum of a spin-1/2 ladder with mixed interactions
Cheranovskii, VO; Ezerskaya, EV; Özkan, İlker (2001-05-21)
We studied the energy spectrum of two coupled XY spin-1/2 chains with different exchange integrals and inter-chain interaction of Ising type. The thorough analytical treatment of two-magnon states was given for finite and infinite lattice strips. To study the case of macroscopic number of inverted spins we used the corresponding density matrix renormalization group (DMRG) simulation. We also derived the self-consistent Bardeen-Cooper-Schrieffer (BCS) estimates for the lowest energies of the system. The comp...
Citation Formats
N. Pugeault, S. Kalkan, F. Wörgötter, E. Başeski, and N. Kruger, “Relations Between Reconstructed 3D entities,” presented at the Proceedings of the Third International Conference on Computer Vision Theory and Applications, Funchal, Portekiz, 2008, Accessed: 00, 2022. [Online]. Available: https://www.scitepress.org/Link.aspx?doi=10.5220/0001083901860193.