The Image Position Measurement for the Selected Object out of the Center using the 2 Points Polar Coordinate Transform

2015 ◽  
Vol 52 (11) ◽  
pp. 147-155
Author(s):  
Choon Weon Seo
Keyword(s):  
Position Measurement ◽  
Polar Coordinate ◽  
Image Position ◽  
Coordinate Transform

Ring Artifacts Correction of Computerized Tomography Image Based on Polar-Coordinate Transform

2012 ◽  
Vol 32 (5) ◽  
pp. 0534001 ◽  
Author(s):  
张国强 Zhang Guoqiang ◽  
周虎 Zhou Hu ◽  
和友 He You ◽  
刘慧强 Liu Huiqiang ◽  
王玉丹 Wang Yudan ◽  
...  
Keyword(s):  
Computerized Tomography ◽  
Tomography Image ◽  
Polar Coordinate ◽  
Coordinate Transform

Image position measurement method of the fish-eye camera using identification marker

2017 ◽  
Vol 2017 (0) ◽  
pp. 1P2-K02
Author(s):  
Naoya HATAKEYAMA ◽  
Tohru SASAKI ◽  
Kenichi KUROSAWA ◽  
Masahiro FUNATO ◽  
Mitsuru JINDAI
Keyword(s):  
Measurement Method ◽  
Position Measurement ◽  
Image Position ◽  
Fish Eye

Position and Posture Measurement Method of the Omnidirectional Camera Using Identification Markers

2018 ◽  
Vol 30 (3) ◽  
pp. 354-362 ◽  
Author(s):  
Naoya Hatakeyama ◽  
◽  
Tohru Sasaki ◽  
Kenji Terabayashi ◽  
Masahiro Funato ◽  
...  
Keyword(s):  
Measurement Method ◽  
Position Control ◽  
Three Dimensional ◽  
Position Estimation ◽  
Position Measurement ◽  
Omnidirectional Camera ◽  
Camera Systems ◽  
Dimensional Measurements ◽  
Aerial Vehicle ◽  
Image Position

Recently, many studies on unmanned aerial vehicle (UAVs) that perform position control using camera images have been conducted. The measurements of the surrounding environment and position of the mobile robot are important in controlling the UAV. The distance and direction of the optical ray to the object can be obtained from the diameter and coordinates in the image. In these studies, various camera systems using plane cameras, fisheye cameras, or omnidirectional cameras are used. Because these camera systems have different geometrical optics, one simple image position measurement method cannot yield the position and posture. Therefore, we propose a new method that measures the position from the size of three-dimensional landmarks using omnidirectional cameras. Three-dimensional measurements are performed by these omnidirectional cameras using the distance and direction to the object. This method can measure three-dimensional positions from the direction and distance of the ray; therefore, if the optical path such as the reflection or refraction is known, it can perform measurements using a different optical system’s camera. In this study, we construct a method to obtain the relative position and relative posture necessary for the self-position estimation based on an object with an omnidirectional camera; further, we verify this method by experiment.

Image position measurement of multiple cameras using projection markers

2017 ◽  
Vol 2017 (0) ◽  
pp. 1P2-C04
Author(s):  
Ryosuke SHIOYA ◽  
Tohru SASAKI ◽  
Naoyuki OSADA ◽  
Hirohiko KABETANI ◽  
Naoki TERAGUCHI
Keyword(s):  
Multiple Cameras ◽  
Position Measurement ◽  
Image Position

Quadratic polar coordinate transform technique for the demodulation of circular carrier interferogram

2015 ◽  
Vol 336 ◽  
pp. 166-172 ◽  
Author(s):  
Jin-Peng Li ◽  
Le Song ◽  
Lei Chen ◽  
Bo Li ◽  
Zhi-Gang Han ◽  
...  
Keyword(s):  
Polar Coordinate ◽  
Coordinate Transform

Roundness error evaluation algorithm based on polar coordinate transform

Measurement ◽  
2011 ◽  
Vol 44 (2) ◽  
pp. 345-350 ◽  
Author(s):  
Xianqing Lei ◽  
Chunyang Zhang ◽  
Yujun Xue ◽  
Jishun Li
Keyword(s):  
Error Evaluation ◽  
Roundness Error ◽  
Polar Coordinate ◽  
Evaluation Algorithm ◽  
Coordinate Transform

On non-linear differential equations of the second order

1949 ◽  
Vol 45 (4) ◽  
pp. 495-501 ◽  
Author(s):  
M. L. Cartwright
Keyword(s):  
Initial Conditions ◽  
Limited Time ◽  
Van Der Pol ◽  
Coordinate Form ◽  
Polar Coordinate ◽  
Linear Differential ◽  
Image Position ◽  
Physical Phenomena ◽  
Automatic Synchronization ◽  
Steady State Solutions

1. The problem of automatic synchronization of triode oscillators was studied by Appleton† and van der Pol‡; it gives rise to the differential equationwhere α, γ, ω, E, ω1 are positive constants such that α/ω, γ/ω, (ω − ω1)/ω are small and dots denote differentiations with respect to t. When these conditions are satisfied, it is easy to see thatis an approximate solution over a limited time for any b1, b2 chosen to fit initial conditions on v and ṿ provided that v and ṿ are not too large. If it is assumed that b1 and b2 vary slowly compared with ω1t, so that can be neglected, and ḃ1, ḃ2 are comparatively small, the equationswhereare obtained. These are sufficiently accurate for the discussion of most of the physical phenomena, and have been used in this form (or in the polar-coordinate form obtained by putting b1 = b cos ø, b2 = b sin ø) by various authors §. Solutions of (1) with period 2π/ω1 are obtained approximately by putting ḃ1 = ḃ2 = 0 in (3). The steady-state solutions of (1) other than those with period 2π/ω1 correspond to periodic solutions of (3). All other solutions converge to one or other of these types of solution.

Stitching of 3-D Image Position Measurement System with 1-D Direction-sensitive Devices

2001 ◽  
Vol 13 (6) ◽  
pp. 651-658
Author(s):  
Saied Mohamed ◽  
◽  
Toyomi Fujita ◽  
Masanori Idesawa
Keyword(s):  
High Precision ◽  
Measurement System ◽  
Bright Spot ◽  
Position Measurement ◽  
Position Sensing ◽  
Sensing System ◽  
Mathematical Techniques ◽  
Image Position

We previously proposed practical calibration of 3-D bright spot position measurement system using 3 1-D direction-sensitive devices. The proposed calibration enables easy setup of 1-D direction-sensitive devices to construct 3-D position sensing system; then the applicable fields and circumstances are extended extremely. The method is based on mathematical techniques which the situation of each 1-D mark direction sensitive device is determined automatically by referencing coordinates with 7 referential points. Here, we are proposing the stitching of measurement space of high-precision 3-D position sensing with 1-D mark direction-sensitive devices to expand measured space further. Our proposed method is essentially iterative application of calibration: reference coordinates are translated and rotated to include both adjacent measurement spaces step by step, calibration is executed, and the position and situation of each 1-D direction-sensitive device are found systematically.

scholarly journals Measurement to radius of Newton’s ring fringes using polar coordinate transform

2016 ◽  
Vol 12 (1) ◽  
Author(s):  
Ping An ◽  
Fu-zhong Bai ◽  
Zhen Liu ◽  
Xiao-juan Gao ◽  
Xiao-qiang Wang
Keyword(s):  
Polar Coordinate ◽  
Coordinate Transform
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