• Title/Summary/Keyword: Null Space Solution

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WEAK GRAVITATIONAL LENSING BY STOCHASTIC GRAVITATIONAL WAVE BACKGROUND (확률적 중력파동 배경에 의한 약한 중력렌즈)

  • Song, Doo-Jong
    • Publications of The Korean Astronomical Society
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    • v.22 no.4
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    • pp.103-111
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    • 2007
  • On the formulation frameworks of linearly perturbed spacetime and weak gravitational lensing(WGL) we studied the statistical properties of a bundle of light rays propagating through stochastic gravitational wave background(SGWB). For this we considered the SGWB as tensor perturbations of linearly perturbed Friedmann spacetime. Using the solution of null geodesic deviation equation(NGDE) we related the convergence, shear and rotation deformation spectra of WGL with the strain spectra of SGWB. Adopting the astrophysical and cosmological SGWB strain spectra which were already known we investigated the approximated spectral forms of convergence, shear and rotation of WGL.

Self-Collision Detection/Avoidance for a Rescue Robot by Modified Skeleton Algorithm (보완 골격 알고리듬을 이용한 구난로봇의 자체 충돌감지/회피)

  • Lee, Wonsuk;Hong, Seongil;Park, Gyuhyun;Kang, Younsik
    • Journal of the Korea Institute of Military Science and Technology
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    • v.18 no.4
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    • pp.451-458
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    • 2015
  • This paper handles self-collision avoidance for a rescue robot with redundant manipulators. In order to detect all available self-collisions in advance, minimum distances between arbitrary robot parts should be monitored in real-time. For the minimum distance estimation, we suggest a modified method from a previous skeleton algorithm which has less computation burden and realize collision avoidance based on a potential function using the proposed algorithm. The resultant command by collision avoidance should not disturb a given primary task, so null-space of joint solution from a CLIK is utilized for collision avoidance by a gradient projection method.