• Title/Summary/Keyword: Geometric Convergence

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Orthogonalization principle for hybrid control of robot arms under geometric constraint

  • Arimoto, Suguru
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.1-6
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    • 1992
  • A principle of "orthogonalization" is proposed as an extended notion of hybrid (force and position) control for robot manipulators under geometric endpoint constraints. The principle realizes the hybrid control in a strict sense by letting position and velocity feedback signals be orthogonal in joint space to the contact force vector whose components are exerted at corresponding joints. This orthogonalization is executed via a projection matrix computed in real-time from a gradient of the equation of the surface in joint coordinates and hence both projected position and velocity feedback signals become perpendicular to the force vector that is normal to the surface at the contact point in joint space. To show the important role of the principle in control of robot manipulators, three basic problems are analyzed, the first is a hybrid trajectory tracking problem by means of a "modified hybrid computed torque method", the second is a model-based adaptive control problem for robot manipulators under geometric endpoint constraints, and the third is an iterative learning control problem. It is shown that the passivity of residual error dynamics of robots follows from the orthogonalization principle and it plays a crucial role in convergence properties of both positional and force error signals.force error signals.

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Fast key-frame extraction for 3D reconstruction from a handheld video

  • Choi, Jongho;Kwon, Soonchul;Son, Kwangchul;Yoo, Jisang
    • International journal of advanced smart convergence
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    • v.5 no.4
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    • pp.1-9
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    • 2016
  • In order to reconstruct a 3D model in video sequences, to select key frames that are easy to estimate a geometric model is essential. This paper proposes a method to easily extract informative frames from a handheld video. The method combines selection criteria based on appropriate-baseline determination between frames, frame jumping for fast searching in the video, geometric robust information criterion (GRIC) scores for the frame-to-frame homography and fundamental matrix, and blurry-frame removal. Through experiments with videos taken in indoor space, the proposed method shows creating a more robust 3D point cloud than existing methods, even in the presence of motion blur and degenerate motions.

A reliable quasi-dense corresponding points for structure from motion

  • Oh, Jangseok;Hong, Hyunggil;Cho, Yongjun;Yun, Haeyong;Seo, Kap-Ho;Kim, Hochul;Kim, Mingi;Lee, Onseok
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.14 no.9
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    • pp.3782-3796
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    • 2020
  • A three-dimensional (3D) reconstruction is an important research area in computer vision. The ability to detect and match features across multiple views of a scene is a critical initial step. The tracking matrix W obtained from a 3D reconstruction can be applied to structure from motion (SFM) algorithms for 3D modeling. We often fail to generate an acceptable number of features when processing face or medical images because such images typically contain large homogeneous regions with minimal variation in intensity. In this study, we seek to locate sufficient matching points not only in general images but also in face and medical images, where it is difficult to determine the feature points. The algorithm is implemented on an adaptive threshold value, a scale invariant feature transform (SIFT), affine SIFT, speeded up robust features (SURF), and affine SURF. By applying the algorithm to face and general images and studying the geometric errors, we can achieve quasi-dense matching points that satisfy well-functioning geometric constraints. We also demonstrate a 3D reconstruction with a respectable performance by applying a column space fitting algorithm, which is an SFM algorithm.

A NOTE ON APPROXIMATION OF SOLUTIONS OF A K-POSITIVE DEFINITE OPERATOR EQUATIONS

  • Osilike, M.O.;Udomene, A.
    • Bulletin of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.231-236
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    • 2001
  • In this note we construct a sequence of Picard iterates suitable for the approximation of solutions of K-positive definite operator equations in arbitrary real Banach spaces. Explicit error estimate is obtained and convergence is shown to be as fast as a geometric progression.

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Hybrid Facial Representations for Emotion Recognition

  • Yun, Woo-Han;Kim, DoHyung;Park, Chankyu;Kim, Jaehong
    • ETRI Journal
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    • v.35 no.6
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    • pp.1021-1028
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    • 2013
  • Automatic facial expression recognition is a widely studied problem in computer vision and human-robot interaction. There has been a range of studies for representing facial descriptors for facial expression recognition. Some prominent descriptors were presented in the first facial expression recognition and analysis challenge (FERA2011). In that competition, the Local Gabor Binary Pattern Histogram Sequence descriptor showed the most powerful description capability. In this paper, we introduce hybrid facial representations for facial expression recognition, which have more powerful description capability with lower dimensionality. Our descriptors consist of a block-based descriptor and a pixel-based descriptor. The block-based descriptor represents the micro-orientation and micro-geometric structure information. The pixel-based descriptor represents texture information. We validate our descriptors on two public databases, and the results show that our descriptors perform well with a relatively low dimensionality.

A Study on Robot Hand Gripper Design and Robust Control for Assembly and Disassembly Task of Machine Parts (기계 부품의 조립분해 작업을 위한 로봇핸드 그리퍼 설계 및 견실제어에 관한 연구)

  • Jeong, Gyu-Hyun;Shin, Gi-Su;Noh, Yeon-Guk;Moon, Byeong-Gap;Yoon, Byeong-Seok;Bae, Ho-Young;Kim, Min-Seong;Han, Sung-Hyun
    • Journal of the Korean Society of Industry Convergence
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    • v.20 no.4
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    • pp.299-305
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    • 2017
  • This study proposes a new technique to design and control of robot hand gripper for assembling and disassembling of a machine parts. The motion equation describing dynamics of the manipulators and object together with geometric constraint is formulated by Lagrange-Euler's equation. And the problems of controlling both the grasping force and the rotation angle of the grasped object under the constraints are analyzed. The effect of geometric constraints and a method of computer simulation for overall system is verified. Finally, it is illustrated that even in case of there exists a sensory feedback from sensing data of the rotational angle of the object to command inputs control of joint and this feedback connection from sensing data to control grasping of machinery parts.

A Watermarking Scheme for Shapefile-Based GIS Digital Map Using Polyline Perimeter Distribution

  • Huo, Xiao-Jiao;Lee, Suk-Hwan;Kwon, Seong-Geun;Moon, Kwan-Seok;Kwon, Ki-Ryong
    • Journal of Korea Multimedia Society
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    • v.14 no.5
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    • pp.595-606
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    • 2011
  • This paper proposes a robust watermarking scheme for GIS digital map by using the geometric properties of polyline and polygon, which are the fundamental components in vector data structure. In the proposed scheme, we calculate the lengths and the perimeters of all polylines and polygons in a map and cluster them to a number of groups. Then we embed the binary watermark by changing the mean of lengths and perimeters in an embedding group. For improving the safety and robustness, we permute the binary watermark through PRNS(pseudo-random number sequence) processing and embed it repeatedly in a model. Experimental results verified that our scheme has a good invisibility, safety and robustness to various geometric attacks and also our scheme needs not the original map in the extracting process of watermark.

3D Printing and Structure Anlaysis of the Submarine Mast Cover (잠수함 마스트 커버의 구조해석 및 3D 프린팅)

  • Jae-Hyeog Woo;Byeong-Joon Cha;Chul-Kyu, Jin
    • Journal of the Korean Society of Industry Convergence
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    • v.26 no.5
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    • pp.937-943
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    • 2023
  • In this study, the mast cover of submarine was reverse engineered and structural analysis was performed. In order to print with the 3D printer, the modeling was reduced to 1/5 size by applying geometric similarity. From the structural analysis results, it was found that the maximum value of equivalent stress generated in the mast cover was 180.9 MPa. This stress value occurs on the inner surface in the major axis. As a result of applying the load condition at a diving depth of 600 m, the mast cover is in a completely elastic state. The 1/5 size model printed on FDM 3D printer with PLA filament was the same as the reverse engineered modeling and it was printed in a perfect shape with no apparent defects. The 1/5 size model printed on PBF 3D printer with SUS316L powder was perfectly manufactured with no apparent defects.

A Study on the Analysis of Error Sources and Error Compensation in Machine Tools (공작기계 오차 요인의 분석 및 보정에 관한 연구)

  • Kim, Ki-Hwan;Youn, Jae-Woong
    • Journal of the Korea Convergence Society
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    • v.8 no.5
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    • pp.185-192
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    • 2017
  • Machine tool errors can be divided into geometric error, thermal deformation error, and machining error. In this study, the influence of each error on the total error and the relative size of each error are quantitatively analyzed in 2D machining. The thermal deformation error and the machining error caused a relatively large error compared to the geometric error, which is directly related to the machining accuracy. In order to eliminate the error factors, the possibility of error compensation was examined by analyzing the measured error profile shape. As a result, about 40 ~ 50% error compensation was achieved for each error factor. Through this study, it is possible to construct a basic data base on machining, and it is expected that it will be able to compensate the machining error from the viewpoint of users.

Estimation of Welding Material Quantity for Shipbuilding at Early Design Stage based on Three-dimensional Geometric Information (3차원 선박형상정보를 활용한 설계초기단계 용접물량 산출)

  • Lee, Jeong-Hoon;Byun, Seok-Ho;Nam, Jong-Ho;Kang, Tae-Won
    • Journal of the Society of Naval Architects of Korea
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    • v.54 no.1
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    • pp.57-62
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    • 2017
  • These days, shipbuilding companies are making an effort to adopt the IT technology in order to improve the production efficiency. One such effort is to utilize a planning and scheduling system to predict the production cost in advance. In this system, assessing the welding material quantity is an important factor. Unfortunately, obtaining the welding material quantity in the early design stage is extremely difficult because the detailed production information, which is essential in deriving the cost associated with welding, is normally available at a later stage. This paper aims at developing a computerized program that produces an index to estimate the welding material quantity in the early design stage. By using only three-dimensional geometric information, the program analyzes the production process and estimates the welding material quantity at any design or production stage when no production information is available. The results can be used for the planning and scheduling system.