• Title/Summary/Keyword: Axis transform

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Image registration using Hough transform and Phase correlation in Wavelet domain

  • Summar, Bhuttichai;Chitsobhuk, Orachat;Kasemsiri, Watjanapong
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2006-2009
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    • 2005
  • This paper presents a method for registering images using phase correlation technique in fourier domain, hough transform and multi-resolution wavelet. To register images, source and input images are transformed to wavelet domain. An angular transition can be obtained by applying hough transform technique followed by phase correlation. Then we apply phase correlation technique to find x-axis and y-axis transition. We apply wavelet transform to reduce processing time and also use its coefficients as edge information instead of canny detector. With multi-resolution property of wavelet transform, registration time can be greatly reduced. After we get all transition parameters, we transform the input images according to these parameters. Then, we compose and blend all images into a new large image with details of all source images. From our experiment, we can find the accurate transition both x-y translation and angular transition with less error.

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Medial Surface Generation by Using Chordal Axis Transform in Shell Structures (쉘 구조물에서 Chordal Axis Transform 을 이용한 중립면 생성)

  • 권기연;박정민;이병채;채수원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.865-870
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    • 2004
  • This paper describes the generation of chordal surface for various shell structures, such as automobile bodies, plastic injection mold components and shell metal parts. After one-layered tetrahedral mesh is generated by an advancing front algorithm, the chordal surface is generated by cutting a tetrahedral element. It is generated one or two elements at a tetrahedral element and the chordal surface is composed with triangular or quadrilateral elements. This algorithm has been tested on several models with rib structure.

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ON THE STABILITY OF MEDIAL AXIS TRANSFORM

  • Choi, Sung-Woo
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.419-433
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    • 2007
  • Medial axis transform (MAT) is very sensitive to noise, in the sense that, even if a shape is perturbed only slightly, the Hausdorff distance between the MATs of the original shape and the perturbed one may be large. Recently, Choi et al.(2002) showed that MAT is stable for a class of 2D domains called weakly injective, if we view this phenomenon with the one-sided Hausdorff distance, rather than with the two-sided Hausdorff distance. In this paper, we extend this result to general 2D domains with natural boundary regularity. We also present explicit bounds for this general one-sided stability of the 2D MAT.

On the Numerical Inversion of the Laplace Transform by the Use of an Optimized Legendre Polynomial

  • Al-Shuaibi, Abdulaziz
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.4 no.1
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    • pp.49-65
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    • 2000
  • A method for inverting the Laplace transform is presented, using a finite series of the classical Legendre polynomials. The method recovers a real-valued function f(t) in a finite interval of the positive real axis when f(t) belongs to a certain class ${\mathcal{W}}_{\beta}$ and requires the knowledge of its Laplace transform F(s) only at a finite number of discrete points on the real axis s > 0. The choice of these points will be carefully considered so as to improve the approximation error as well as to minimize the number of steps needed in the evaluations. The method is tested on few examples, with particular emphasis on the estimation of the error bounds involved.

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Simplified projective transform for reconstruction of cylindrical panorama (실린더 파노라마 영상의 재구성을 위한 단순화된 사영 변환)

  • Lee Kang-Ho
    • Journal of the Korea Society of Computer and Information
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    • v.11 no.2 s.40
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    • pp.169-175
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    • 2006
  • In this paper we propose a method of reconstruction of cylindrical panorama using simplified projective transform from the panning image on the fixed camera. For the practical construction of cylindrical panorama we consider the rotation of the camera on the Y-axis only, even though considering the rotation components on all of the X,Y,Z axis on three-dimensional space for projective transform between general panoramas. The restriction mentioned above simplifies projective transform with existing 8 degrees of freedom into the one with 4 degrees of freedom. In the results, overall computation for projective transform can be decreased to the great extents in quantify, because the number of corresponding points required for inducing the transforming formula is gone down by half. Proposed algorithm from the simulation carried out in this paper shows similar performance and decreased computational quantity compared with existing algorithm. Also, it shows the construction of cylindrical panorama using simplified projective transform.

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Finding the true length of a line and an ellipse from optical Hough transform results (광학적 Hough변환 결과로부터 직선과 타원의 실제 길이 추출)

  • Park, Sang-Guk;Kim, Seong-Yong;Kim, Su-Jung
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.37 no.3
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    • pp.39-47
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    • 2000
  • In this paper, we propose a new method of finding the true length of the line and long axis of the ellipse at the $\theta$=$\theta$o+ 90$^{\circ}$ and short axis of the ellipse at the $\theta$ = $\theta$o from the Hough transform (HT) results. Through the simulations, we showed that the true length of the line and ellipse could be obtained with 98 % accuracy by using the distance from the maximum envelope to the minimum envelope. To compare the simulation results with the experimental results, we performed optical experiments by using a HT CGH filter. Through the experiments, we showed that our results were very similar to those of the simulation.

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Power System Harmonic Estimation Based on Park Transform

  • Chen, Ya;Ji, Tianyao;Li, Mengshi;Wu, Qinghua;Wang, Xuejian
    • Journal of Electrical Engineering and Technology
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    • v.11 no.3
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    • pp.560-574
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    • 2016
  • This paper presents a novel method for power system harmonic estimation based on the Park transform. The proposed method firstly extends the signal to a group of three-phase signals in a-b-c coordinate. Then, a linear fitting based method is adopted to estimate the fundamental frequency. Afterwards, the Park transform is utilized to convert the three-phase signals from a-b-c coordinate to d-q-0 coordinate. Finally, the amplitude and phase of a harmonic component of interest can be calculated using the d-axis and q-axis components obtained. Simulation studies have been conducted using matrix laboratory (MATLAB) and power system computer aided design/electromagnetic transients including direct current (PSCAD/EMTDC). Simulation studies in MATLAB have considered three scenarios, i.e., no-frequency-deviation scenario, frequency-deviation scenario and the scenario in the presence of inter-harminics. The results have demonstrated that the proposed method achieves very high accuracy in frequency, phase and amplitude estimation under noisy conditions, and suffers little influence of the inter-harmonics. Moreover, comparison studies have proved that the proposed method is superior to FFT and Interpolated FFT with the Hanning Window (IpFFTHW). Finally, a popular case in PSCAD/EMTDC has been employed to further verify the effectiveness of the proposed method.

Extraction of a Distance Parameter in Optical Scanning Holography Using Axis Transformation

  • Kim, Tae-Geun;Kim, You-Seok
    • Journal of the Optical Society of Korea
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    • v.14 no.2
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    • pp.104-108
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    • 2010
  • We proposed an axis transformation technique which reveals a distance parameter directly from optical scanning holography (OSH). After synthesis of a real-only spectrum hologram and power fringe adjusted filtering, we transform an original frequency axis to a new frequency axis using interpolation. In the new frequency axis, the filtered hologram has a single frequency which is linearly proportional to the distance parameter. Thus, the inverse Fourier transformation of the filtered hologram gives a delta function pair in the new spatial axis. Finally, we extract the distance parameter by detecting the location of the delta function pair.

Boundary extraction about endocardial and epicardial of myocardial SPECT short-axis images using snakes (스네이크를 이용한 심근 SPECT short-axis 영상의 내외벽에 대한 경계선 추출)

  • 김령주;김영철;손병환;이병일;최흥국
    • Proceedings of the Korea Multimedia Society Conference
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    • 2001.11a
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    • pp.111-114
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    • 2001
  • 게이트 심근 SPECT 영상은 좌심실 구혈률(EF), 확장기말 부피(end-diastolic volume), 수축기말(end-systolic volume)부피 등의 지표로 심근의 기능을 평가하는데 널리 이용된다. 이러한 지표들을 구하기 위해서는 심근 안팎의 경계선을 추출해야 한다. 본 연구는 좌심실의 SPECT short-axis 영상에서 전처리 과정을 거친 영상을 Hough Transform을 이용하여 초기점 설정한 후 심실 내외벽의 경계선을 추출하기 위해 Williams 가 제안한 Active Contour Model(snakes)을 이용하여 심근의 경계선을 자동으로 추출하였다.

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Ballistocardiographical Heart Rate Measurement Using Head Mounted 6-axis Accelerometer (머리 착용형 6축 가속도계를 사용한 심탄도 심박수 측정)

  • Jinman Kim;Joongjin Kook
    • Journal of the Semiconductor & Display Technology
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    • v.23 no.2
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    • pp.33-37
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    • 2024
  • Recently, wearable virtual reality devices are widely used. These instruments include a 3-axis accelerometer. User's heart rate information in virtual reality contents can be useful for measuring user experience. In this paper, we propose a method to measure the heart rate through a 3-axis accelerometer based on the principle of ballistocardiography without additional sensors. The angular velocity was successively measured in a time series by the 3-axis accelerometer mounted to the head. The frequency of the maximum magnitude is determined as the heart rate through frequency transform and band pass filtering of the time series signal. For verification, the heart rate calculated from photoplethysmography sensors acquired at the same time was compared as ground-truth. In the virtual reality, the user's heart rate information can be extracted without additional heart rate sensor, and the emotional state and fatigue can be measured.

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