• Title/Summary/Keyword: point interpolation

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Investigation on the Automatic Surface Generation for Extrusion Die of T-shaped Section using NURBS Surface and Area Mapping Method (NURBS 곡면과 면적 사상법을 이용한 T-형 압출 금형곡면의 자동생성에 관한 연구)

  • 임종훈;유동진
    • Journal of the Korean Society for Precision Engineering
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    • v.20 no.10
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    • pp.208-217
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    • 2003
  • In order to construct the extrusion die surface of T -shaped sections, an automatic surface construction method based on NURBS surface and area mapping method is proposed in the present work. In the present study, a center point for area mapping is determined by introducing the mapping concept based on constant area proportionality between original billet and final product. The characteristic points of inlet profile are determined using the traditional area mapping method and the root finding numerical method. The inlet and outlet profiles are precisely described with NURBS curves using the characteristic points of entry and exit sections. For the construction of NURBS surface, an interpolation method for the pre-determined two section curves has been developed to be used in the generation of interior control points and weights. To show the validity of the proposed method, automatic die surface generation is carried out for the T-shaped section and T-shaped section with rounded corners.

Design of 4 joints 3 Link Biped Robot and Its Gaits (4관절 3링크 2족 로봇과 걸음새에 관한 연구)

  • Kim, Sung-Hoon;Oh, Jun-Ho;Lee, Ki-Hoon
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.523-528
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    • 2000
  • In this paper, the new type biped walking robot which is composed of the minimum number or links just for walking and its appropriate gaits are proposed. The proposed new gaits for this robot are four-crossing, crawling, standing and turning gait. In designing the biped robot we propose the Performance Index which means the needed torque per a moving distance and generate foot trajectories by $3^{rd}$ order spline Interpolation. Among those, numerically we find the optimal conditions which minimize the Performance Index. Dynamically stable walking of the biped robot is realized by satisfying the stability condition of ZMP(zero moment point), which is related to maintaining the ZMP within the region of the supporting foot during the s1n91e leg support phase. We determine the region of mass center from the stability condition of ZMP and plan references which track the mass conte. trajectory of constant velocity. Finally we implement the gaits statically tracking the planned trajectories using PD control method.

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Development of a Surface Modeling Kernel (곡면 모델링 커널 개발)

  • 전차수;구미정;박세형
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.11a
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    • pp.774-778
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    • 1996
  • Developed in this research is a surface modeling kernel for various CAD/CAM applications. Its internal surface representations are rational parametric polynomials, which are generalizations of nonrational Bezier, Ferguson, Coons and NURBS surface, and are very fast in evaluation. The kernel is designed under the OOP concepts and coded in C++ on PCs. The present implementation of the kernel supports surface construction methods, such as point data interpolation, skinning, sweeping and blending. It also has NURBS conversion routines and offers the IGES and ZES format for geometric information exchange. It includes some geometric processing routines, such as surface/surface intersection, curve/surface intersection, curve projection and so forth. We are continuing to work with the kernel and eventually develop a B-Rep based solid modeler.

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Supersonic Axisymmetric Minimum Length Nozzle Conception at High Temperature with Application for Air

  • Zebbiche, Toufik
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.1-30
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    • 2008
  • When the stagnation temperature of a perfect gas increases, the specific heats and their ratio do not remain constant any more and start to vary with this temperature. The gas remains perfect; its state equation remains always valid, except, it is named in more by calorically imperfect gas. The aim of this work is to trace the profiles of the supersonic axisymmetric Minimum Length Nozzle to have a uniform and parallel flow at the exit section, when the stagnation temperature is taken into account, lower than the dissociation threshold of the molecules, and to have for each exit Mach number and stagnation temperature shape of nozzle. The method of characteristics is used with the algorithm of the second order finite differences method. The form of the nozzle has a point of deflection and an initial angle of expansion. The comparison is made with the calorically perfect gas. The application is for air.

Investigation on the Description Method of Extrusion Die Surface using NURBS Surface and Area Mapping Method (NURBS 곡면과 면적사상법을 이용한 압출 금형 곡면의 표현방법에 관한 연구)

  • 유동진;권혁홍;임종훈
    • Transactions of Materials Processing
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    • v.12 no.4
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    • pp.348-357
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    • 2003
  • In order to construct the extrusion die surface of arbitrarily shaped sections, an automatic surface construction method based on NURBS surface and area mapping method is proposed in the present work. A center point fur area mapping is determined by introducing the mapping concept based on constant area proportionality between original billet and final product. The characteristic points of inlet profile are determined using the traditional area mapping method and the root finding numerical method. The inlet and outlet profiles are precisely described with NURBS curves using the characteristic points of entry and exit sections. For the construction of NURBS surface, an interpolation method for the pre-determined two section curves has been developed to be used in the generation of interior control points and weights. To show the validity of the proposed method, automatic die surface generation is carried out for the several kinds of shaped sections.

A study of estimation and removal of baseline drift for the automated diagnosis of electrocardiogram (심전도 자동 진단을 위한 기저선 동요 평가 및 제거에 관한 연구)

  • 권혁제;이명호
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.33B no.7
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    • pp.99-106
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    • 1996
  • Estimation and removal procedures for baseline drift have been developed using linear, cubic spline, and bilineared transformed high pass filter. Linear and cubic spline interpolation with the PQ and TP segmens, which are considered to be isoelectric, as fiducial points ahve been estimated respectively. For a quantitative validation of the estimation procedure, 4 ECGs with arfificial baseline drift were constructed and analyzed by mean square error calculations and amplitude histograms. Also real ECGs were analyzed in a test set of the CSE data set 3 and set 4. Baseline drift detecton rule were designed and new method for the decision of fiducial point were constructed to avoid distorting as the case of premature ventricular or atrial contraction. From these comparison, proposed cubic spline method with PQ and TP segment (CS_PQ & TP) emerged as the most efficient method.

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HRTF Improvement of Smooth Moving Sound Effect (자연스러운 이동음 효과를 위한 머리전달함수 개선)

  • Lee, Jung-Kyoung;Seo, Bo-Kug;Cha, Hyung-Tai
    • Proceedings of the IEEK Conference
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    • 2007.07a
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    • pp.427-428
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    • 2007
  • In this paper, we propose the method of generating smooth moving sound in a two-channel based 3D sound technique. HRTF is generally used to make the moving sound effect in frequency domain. But, the moving sound using the interpolation has many problems to be resolved as there are only discrete measured point of HRTF database. Therefore, HRTF of the moving sound channel makes effective moving sound by the improved grouping. Informal listening tests show that the proposed improves the effective moving sound much better than the conventional methods.

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On the Coastline Date Compression in Digital Chart Selecting Conspicuous Coast Positiona as Node Points (현저한 해안 위치를 절점으로 선정하는 디지털 해도에서의 해안선 데이터 압축)

  • 임정빈;고광섭;최낙현
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.4 no.1
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    • pp.13-20
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    • 1998
  • Since the digital chart consists of a large number of points, the effective method for the coastline data compression(CDC), storing the data compactly and reproducting the coastline feature accurately, is important. In the CDC, the key technique is to determine the optimal positions as node points in given coastlines. In this paper, a new CDC method, selecting node points with conspicuous coast positions in the view point on navigation and adopting spline interpolation to the nodes partly, is proposed. Using the northern part of KEOJE-DO coastline in Korean chart No.204, CDC experiments are carrie out with various compression ratio. The results fro the influence of coastline shape according to various CDC methods are discussed and presented.

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A Study of a Surface Modeling Interpolating a Polygonal Curve Net Constructed from Scattered Points (점군으로부터 형성된 다각곡선망을 보간하는 곡면모델링에 관한 연구)

  • Ju, Sang-Yoon;Jun, Cha-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.4
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    • pp.529-540
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    • 1995
  • The paper deals with a procedure for constructing a composite surface interpolating a polygonal curve mesh defined from 3D scattered points. The procedure consists of a poly-angulation, construction of a curve net, and interpolation of the curve net. The poly-angulation contains a stage that changes a triangular edge net obtained from a triangulation into a poly-angular edge net. A curve net is constructed by replacing edges on the edge net with cubic Bezier curves. Finally, inside of an n-sided polygon is interpolated by n subdivided triangular subpatches. The method interpolates given point data with relatively few triangular subpatches. For an n-sided polygon, our method constructs an interpolant with n subdivided triangular subpatches while the existing triangular surface modeling needs 3(n-2) subpatches. The obtained surface is composed of quartic triangular patches which are $G^1$-continuous to adjacent patches.

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Implementation of Computerized BEAM for Multi-Channel EEG Signals (다중채널 EEG 신호의 Computerized BEAM 구현)

  • Lee, G.K.;Kim, Y.I.;Han, S.B.;Shin, T.M.;Shin, S.J.
    • Proceedings of the KOSOMBE Conference
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    • v.1993 no.11
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    • pp.156-159
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    • 1993
  • In this paper, computerized BEAM (brain electrical activity map) was implemented for objective and quantitative multichannel EEG analysis. BEAM is calculated by 4 point Interpolation method and number of elements are 5140. Representation methods of BEAH are two. One is dot density method which classify brain electrical potential 9 levels by dot density and the other is color method which classify brain electrical 12 levers by different colors. In this BEAM, instantaneous change and average energy distribution over any arbitrary time interval of brain electrical activity could be observed and analyzed easily.

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