• Title/Summary/Keyword: Spline interpolation method

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Generation of 3D Sign Language Animation Using Spline Interpolation (스플라인 보간법을 이용한 3차원 수화 애니메이션의 생성)

  • ;吳芝英
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.931-934
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    • 1998
  • We have implemented a sign language animation system using 2D and 3D models. From the previous studies, we find out that both models have several limitations based on the linear interpolation and fixed number of frames, and they result in incorrectness of actions and unnatural movements. To solve the problems, in this paper, we propose a sign language animation system using spline interpolation method and variable number of frames. Experimental results show that the proposed method could generate animation more correctly and rapidly than previous methods.

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High quality volume visualization using B-spline interpolation (B 스플라인 보간을 이용한 고화질 볼륨 가시화)

  • Shin, Yongha;Kye, Heewon
    • Journal of the Korea Computer Graphics Society
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    • v.22 no.3
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    • pp.1-9
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    • 2016
  • Linear interpolation is a basic sampling method for volume visualization. This method generates good images but sometimes it is inferior to our high expectation because it is encouraged to produce high quality images in the medical applications. In this paper, B spline based tri-cubic interpolation is used for the re-sampling step. The conventional B spline is an approximation method which does not cross control points so that we moved the control points and the curve crosses the original control points. In the rendering step, the empty space leaping is applicable to increase rendering speed. We have to calculate the maximum and minimum values for each block to detect empty space. The convex hull property of B spline enables the values of control points to be used as the maximum and minimum values. As a result, tri-cubic interpolated volume rendering is possible in interactive speed.

Projected Image Reconstruction Using Higher Order B-Spline (사영된 영상의 고차원 비-스플라인을 이용한 복원법)

  • Kim Sung-Soo
    • The Journal of the Korea Contents Association
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    • v.5 no.6
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    • pp.97-108
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    • 2005
  • In this paper a method of reconstructing a desired image through the geometrical transformation and the interpolation techniques is presented by comparing different interpolation schemes. Several different interpolation schemes are compared with respect to the amount of error that is the difference between the original and the reverse-projective transformed images. Higher ordered B-spline interpolation turned to be superior to other techniques in reconstructing the image which is desired to be close to the unskewed image as much as possible. In the results, this paper demonstrates that the reverse projection using the higher ordered B-spline interpolation is superior to those conventional interpolation methods, linear, cubic spline for reconstructing image. In experiments, the error decreases as the order of B-spline increases. The proposed technique is useful for various practical and theoretical applications in the area of satellite, medical, and commercial image processing.

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An interpolation method of b-spline surface for hull form design

  • Jung, Hyung-Bae
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.2 no.4
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    • pp.195-199
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    • 2010
  • This paper addresses the problem of B-spline surface interpolation of scattered points for a hull form design, which are not arbitrarily scattered, but can be arranged in a series of contours permitting variable number of points in the contours. A new approach that allows different parameter value for each point on the same contour has been adopted. The usefulness and quality of the interpolation has been demonstrated with some experimental results.

An Improvement of Strain Measuring Technique by using the B-spline Surface Interpolation Method (3차원 곡면 내삽법을 이용한 자동차 박판 부품의 변형율 측정법 개선)

  • 김종봉;양동열
    • Transactions of the Korean Society of Automotive Engineers
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    • v.6 no.4
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    • pp.141-150
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    • 1998
  • The measurement of strains in stamped sheet metal is essential to the design and manufacture of sound sheet metal products. The measured strains can also be used in verifying the reliability of the computer analysis such as finite element analysis. In most engineering applications, strains are measured from the deformed square grids or deformed circular grids in comparison with the initial undeformed grids. In such a case, however, strains are averaged in each grid and the localized strain in a region smaller than a grid size can not be measured. In the present study, the B-spline surface interpolation technique is introduced in order to measure the strains more exactly and effectively. The strains calculated by using the surface interpolation technique are compared with the strains calculated from the three-noded grids as well as with the finite element analysis.

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A Study on the Comparison for Shape Interpolation of Magnified Image (확대 영상의 보간에 관한 비교 연구)

  • Lee, Y.J.;Lee, H.W.;Lee, H.A.
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3165-3168
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    • 1999
  • When a input image is extensively magnified on the computer system, it is almost impossible to replicate the original shape because of mismatched coordinates system. In order to resolve the problem, the shape of the magnified image has been reconfigured using the bilinear interpolation method, low pass special filtering interpolation method and B-spline interpolation method. Ferguson curve interpolation method based on the CAD/CAM curve interpolation algorithm.

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Evaluation of Teeth and Supporting Structures on Digital Radiograms using Interpolation Methods (보간법을 이용한 디지털 방사선영상에서 치아 및 지지구조물의 ROC평가)

  • Koh Kwang-Joon;Chang Kee-Wan
    • Journal of Korean Academy of Oral and Maxillofacial Radiology
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    • v.29 no.1
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    • pp.65-85
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    • 1999
  • Objectives: To determine the effect of interpolation functions when processing the digital periapical images. Material and Methods: The digital images were obtained by Digora and CDR system on the dry skull and human subject. 3 oral radiologists evaluated the 3 portions of each processed image using 7 interpolation methods, and ROC curves were obtained by trapezoidal methods. Results: The heighest Az value(0.96) was obtained with cubic spline method and the lowest Az value(0.03) was obtained with facet model method in Digora system. The heighest Az value (0.79) was obtained with gray segment expansion method and the lowest Az value(0.07) was obtained with facet model method in CDR system. There was significant difference of Az value in original image between Digora and CDR system at a=0.05 level. There were significant differences of Az values between Digora and CDR images with cubic spline method, facet model method, linear interpolation method and non-linear interpolation method at α=0.1 level.

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Comparison between Spatial Interpolation Methods of Temperature Data for Garlic Cultivation (마늘 재배적지분석을 위한 기온자료 공간보간기법 비교)

  • Kim, Yong-Wan;Hong, Suk-Young;Jang, Min-Won
    • Journal of The Korean Society of Agricultural Engineers
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    • v.53 no.5
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    • pp.1-7
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    • 2011
  • The objective of this study is to decide a spatial interpolation method on temperature data for the suitability analysis of garlic cultivation. In Korea, garlic is the second most cultivated condiment vegetable after red pepper. Nowadays warm-temperate garlic faces potential shift of its arable area according to warmer temperature in the Korean Peninsula, and the change can be drawn with the precise temperature map derived from interpolation on point-measured data. To find the preferable interpolation method in cases of germination and vegetative period of the garlic, different approaches were tested as follows: Inverse Distance Weighted (IDW), Spline, Ordinary Kriging (OK), and Universal Kriging (UK). As a result, IDW and UK show the lowest root mean square errors as for the germination and vegetative seasons, respectively. However, statistically significant difference was not revealed among the applied methods regarding the germinating period. Eventually this will contribute to mapping the suitable lands for the cultivation of warm-temperate garlic reasonably.

A Study on Efficient Interpolation Method in Salt & Pepper Noise Environments (Salt & Pepper 잡음 환경에서 효율적인 보간법에 관한 연구)

  • Ko, You-Hak;Kwon, Se-Ik;Kim, Nam-Ho
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2017.10a
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    • pp.681-683
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    • 2017
  • In the digital information age, image processing is essential for various digital devices such as smart phones, cameras, and TVs. However, degradation occurs in analyzing, recognizing, and processing image data, and salt & pepper noise occurs. Therefore, in this paper, we applied linear interpolation method, newton interpolation method, lagrange interpolation method, and spline interpolation method to the image damaged by salt & pepper noise in order to find more effective interpolation method in salt & pepper noise environment, The methods were compared using the PSNR (peak signal to noise ratio).

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Generalized Computational Nodes for Pseudospectral Methods

  • Kim, Chang-Joo;Park, Soo Hyung;Jung, Sung-Nam;Sung, Sangkyung
    • International Journal of Aeronautical and Space Sciences
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    • v.15 no.2
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    • pp.183-189
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    • 2014
  • Pseudo-spectral method typically converges at an exponential rate. However, it requires a special set of fixed collocation points (CPs) to get highly accurate formulas for partial integration and differentiation. In this study, computational nodes for defining the discrete variables of states and controls are built independently of the CPs. The state and control variables at each CP, which are required to transcribe an NOCP into the corresponding NLP, are interpolated, using those variables allocated at each node. Additionally, Lagrange interpolation and spline interpolation are investigated, to provide a guideline for selecting a favorable interpolation method. The proposed techniques are applied to the solution of an NOCP using equally spaced nodes, and the computed results are compared to those using the standard PS approach, to validate the usefulness of the proposed methods.