A Fast Epipolar Rectification Method Based on Fundamental Matrix

Author(s):  
Aiguo Zhou ◽  
Ronghui Wei ◽  
Zhenyu Li ◽  
Jiakun Pu ◽  
Jiangyang Yu
Keyword(s):  
2010 ◽  
Vol 4 (2) ◽  
pp. 85 ◽  
Author(s):  
H.-H.P. Wu ◽  
S.-H. Chang
Keyword(s):  

Author(s):  
Peter Wagner

We derive an explicit formula for the singular part of the fundamental matrix of crystal optics. It consists of a singularity remaining fixed at the origin x =0, of delta terms located on the positively curved parts of the wave surface, the well-known Fresnel surface and of a Cauchy principal value distribution on the negatively curved part of the wave surface.


1968 ◽  
Vol 5 (2) ◽  
pp. 401-413 ◽  
Author(s):  
Paul J. Schweitzer

A perturbation formalism is presented which shows how the stationary distribution and fundamental matrix of a Markov chain containing a single irreducible set of states change as the transition probabilities vary. Expressions are given for the partial derivatives of the stationary distribution and fundamental matrix with respect to the transition probabilities. Semi-group properties of the generators of transformations from one Markov chain to another are investigated. It is shown that a perturbation formalism exists in the multiple subchain case if and only if the change in the transition probabilities does not alter the number of, or intermix the various subchains. The formalism is presented when this condition is satisfied.


2017 ◽  
Vol 24 (s1) ◽  
pp. 174-181 ◽  
Author(s):  
Zygmunt Paszotta ◽  
Malgorzata Szumilo ◽  
Jakub Szulwic

Abstract This paper intends to point out the possibility of using Internet photogrammetry to construct 3D models from the images obtained by means of UAVs (Unmanned Aerial Vehicles). The solutions may be useful for the inspection of ports as to the content of cargo, transport safety or the assessment of the technical infrastructure of port and quays. The solution can be a complement to measurements made by using laser scanning and traditional surveying methods. In this paper the authors recommend a solution useful for creating 3D models from images acquired by the UAV using non-metric images from digital cameras. The developed algorithms, created and presented software allows to generate 3D models through the Internet in two modes: anaglyph and display in shutter systems. The problem of 3D image generation in photogrammetry is solved by using epipolar images. The appropriate method was presented by Kreiling in 1976. However, it applies to photogrammetric images for which the internal orientation is known. In the case of digital images obtained with non-metric cameras it is required to use another solution based on the fundamental matrix concept, introduced by Luong in 1992. In order to determine the matrix which defines the relationship between left and right digital image it is required to have at least eight homologous points. To determine the solution it is necessary to use the SVD (singular value decomposition). By using the fundamental matrix the epipolar lines are determined, which makes the correct orientation of images making stereo pairs, possible. The appropriate mathematical bases and illustrations are included in the publication.


2011 ◽  
Vol 25 (31) ◽  
pp. 4208-4211
Author(s):  
JINHO BAE ◽  
CHONG HYUN LEE ◽  
JOON-YOUNG KIM ◽  
YUN-HAE KIM

To analyze the various Fiber Bragg gratings (FBGs) with thermal changes, we present how makes a kernel function to translate the information of thermal change into coupling coefficient and detuning factor. We also propose an accurate and versatile extended fundamental matrix model (EFMM) with the kernel function. The proposed model is then can be used to design the piecewise uniform FBGs with the thermal changes. Sensitivity of a temperature variation is performed using Mote Carlo simulations.


2014 ◽  
pp. 307-308
Author(s):  
Zhengyou Zhang
Keyword(s):  

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