• Title/Summary/Keyword: projection geometry

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Sparse-View CT Image Recovery Using Two-Step Iterative Shrinkage-Thresholding Algorithm

  • Chae, Byung Gyu;Lee, Sooyeul
    • ETRI Journal
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    • v.37 no.6
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    • pp.1251-1258
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    • 2015
  • We investigate an image recovery method for sparse-view computed tomography (CT) using an iterative shrinkage algorithm based on a second-order approach. The two-step iterative shrinkage-thresholding (TwIST) algorithm including a total variation regularization technique is elucidated to be more robust than other first-order methods; it enables a perfect restoration of an original image even if given only a few projection views of a parallel-beam geometry. We find that the incoherency of a projection system matrix in CT geometry sufficiently satisfies the exact reconstruction principle even when the matrix itself has a large condition number. Image reconstruction from fan-beam CT can be well carried out, but the retrieval performance is very low when compared to a parallel-beam geometry. This is considered to be due to the matrix complexity of the projection geometry. We also evaluate the image retrieval performance of the TwIST algorithm -sing measured projection data.

Stiffener Layout Optimization to Maximize Natural Frequencies of a Curved Three-Dimensional Shell Structure (구부러진 3차원 박판 구조물의 고유 진동수 극대화를 위한 보강재 배치 최적화)

  • Lee, Joon-Ho;Park, Youn-Sik;Park, Young-Jin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2004.11a
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    • pp.954-957
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    • 2004
  • Based on the authors' previous work, where a geometric constraint handling technique for stiffener layout optimization problem using geometry algorithms was proposed, stiffener layout optimization to maximize natural frequencies of a curved three-dimensional shell structure was performed with a projection method. The original geometry of the shell structure was first projected on a two-dimensional plane, and then the whole optimization process was performed with the projected geometry of the shell except that the original shell structure was used for the eigenproblem solving. The projection method can be applied to baseline structures with a one-to-one correspondence between original and projected geometries such as automobile hoods and roofs.

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Epipolar Resampling for High Resolution Satellite Imagery Based on Parallel Projection (평행투영 기반의 고해상도 위성영상 에피폴라 재배열)

  • Noh, Myoung-Jong;Cho, Woo-Sug;Chang, Hwi-Jeong;Jeong, Ji-Yeon
    • Journal of Korean Society for Geospatial Information Science
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    • v.15 no.4
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    • pp.81-88
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    • 2007
  • The geometry of satellite image captured by linear CCD sensor is different from that of frame camera image. The fact that the exterior orientation parameters for satellite image with linear CCD sensor varies from scan line by scan line, causes the difference of image geometry between frame and linear CCD sensor. Therefore, we need the epipolar geometry for linear CCD image which differs from that of frame camera image. In this paper, we proposed a method of resampling linear CCD satellite image in epipolar geometry under the assumption that image is not formed in perspective projection but in parallel projection, and the sensor model is a 2D affine sensor model based on parallel projection. For the experiment, IKONOS stereo images, which are high resolution linear CCD images, were used and tested. As results, the spatial accuracy of 2D affine sensor model is investigated and the accuracy of epipolar resampled image with RFM was presented.

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Foreground object detection in projection display (프로젝션 화면에서 전경물체 검출)

  • Kang Hyun;Lee Chang Woo;Park Min Ho;Jung Keechul
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.41 no.1
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    • pp.27-37
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    • 2004
  • The detection of foreground objects in a projection display using color information can be hard due to changing lighting conditions and complex backgrounds. Accordingly, the current paper proposes a foreground object detection method using color information that is obtained from the input image to the Projector and an image captured by a camera above the projection display. After pixel correspondences between the two images are found by calibrating the geometry distortion and color distortion, the natural color variations are estimated for the projection display. Then, any pixel that has another variation not resulting from natural geometry or color distortion is considered a part of foreground objects, because a foreground object in a projection display changes the values of pixels. As shown by experimental results, the proposed foreground detection method is applicable to an interactive projection display system such as the DigitalDesk

A Study on the 3D Representation of 2D Projection Data using Epipolar Geometry (Epipolar 기하학을 이용한 2차원 투영 데이터의 3차원 표현에 관한 연구)

  • Yu, Seon-Guk;Wang, Ge;Kim, Nam-Hyeon;Kim,Yong-Uk;Kim, Hui-Jung
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.5
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    • pp.212-219
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    • 2002
  • In this paper, the epipolar geometry, genera17y used as a pin-hole camera model, is newly adapted to our proposed method that enables the affine reconstruction of the 3D object from two projected views. The proposed method models the projective projection of inherent X-ray imaging system, obviates the need to attach artifirially constructed material on the body, and requires none of the prior-knowledge regarding to intrinsic and extrinsic parameters of two X-ray imaging systems. The optimum numerical solution is obtained by applying the least mean square estimator to corresponding points on two projected X-ray planes. The performance of this proposed method is Quantitatively analyzed using computer synthesized model of Cochlear implantation electrodes. In simulated experiments, the propnsed method is insensitive to the added random noise, the scaling factor change, the center point change, and rotational angular change between two projection planes, as well as enables the stable 3D reconstruction in least square sense even in worst testing cases.

Determination of Epipolar Geometry for High Resolution Satellite Images

  • Noh Myoung-Jong;Cho Woosug
    • Proceedings of the KSRS Conference
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    • 2004.10a
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    • pp.652-655
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    • 2004
  • The geometry of satellite image captured by linear pushbroom scanner is different from that of frame camera image. Since the exterior orientation parameters for satellite image will vary scan line by scan line, the epipolar geometry of satellite image differs from that of frame camera image. As we know, 2D affine orientation for the epipolar image of linear pushbroom scanners system are well-established by using the collinearity equation (Testsu Ono, 1999). Also, another epipolar geometry of linear pushbroom scanner system is recently established by Habib(2002). He reported that the epipolar geometry of linear push broom satellite image is realized by parallel projection based on 2D affine models. Here, in this paper, we compared the Ono's method with Habib's method. In addition, we proposed a method that generates epipolar resampled images. For the experiment, IKONOS stereo images were used in generating epipolar images.

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Development of a truncation artifact reduction method in stationary inverse-geometry X-ray laminography for non-destructive testing

  • Kim, Burnyoung;Yim, Dobin;Lee, Seungwan
    • Nuclear Engineering and Technology
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    • v.53 no.5
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    • pp.1626-1633
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    • 2021
  • In an industrial field, non-destructive testing (NDT) is commonly used to inspect industrial products. Among NDT methods using radiation sources, X-ray laminography has several advantages, such as high depth resolution and low computational costs. Moreover, an X-ray laminography system with stationary source array and compact detector is able to reduce mechanical motion artifacts and improve inspection efficiency. However, this system, called stationary inverse-geometry X-ray laminography (s-IGXL), causes truncation artifacts in reconstructed images due to limited fields-of-view (FOVs). In this study, we proposed a projection data correction (PDC) method to reduce the truncation artifacts arisen in s-IGXL images, and the performance of the proposed method was evaluated with the different number of focal spots in terms of quantitative accuracy. Comparing with conventional techniques, the PDC method showed superior performance in reducing truncation artifacts and improved the quantitative accuracy of s-IGXL images for all the number of focal spots. In conclusion, the PDC method can improve the accuracy of s-IGXL images and allow precise NDT measurements.

Development of a Three Dimensional Mesh Generation Program for CFD Simulations (CFD 해석을 위한 3차원 격자생성 프로그램의 개발)

  • Chang J.;Kim S.-R.;Hur N.
    • 한국전산유체공학회:학술대회논문집
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    • 2001.10a
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    • pp.157-163
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    • 2001
  • In the present study a mesh generation program is developed for three dimensional flow analyses with complex geometry. By the present program one can define vertices using various coordinate systems and cells for finite volume approach. Rendered display of the generated mesh can be also available in both orthographic and perspective projection modes. Through perspective projection mode, one can check the quality of generated mesh by moving around inside the mesh like a virtual reality. The examples of the program execution is given in the paper.

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Shape Measurement and Representation of 3-D Curved Objects using Simple Back-Projection algorithm (단순역투영법을 이용한 3차원 곡면물체의 형상계측 및 표현)

  • 최종수;김덕수
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.22 no.1
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    • pp.61-67
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    • 1985
  • The new computer vision system which can reconstruct contours of parallel fault planes with horizon of 3-D curved objects has been developed. With the system, the shape of 3-D objects was measured by Simple Back-Projection algorithm which is a fundamental one in C.T.(Computed Tomography). And, the curvature in differential geometry characterizes any curve. Devising it, the method to represent each contour of 3-D curved objects with the system is described in this paper.

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