• Title/Summary/Keyword: Smooth function model

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Image segmentation Using Hybrid Level Set (하이브리드 레벨 셋을 이용한 이미지 분할)

  • Joo Ki-See;Kim Eun-Seok
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.7
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    • pp.1453-1463
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    • 2004
  • The conventional image segmentation method using level set has been disadvantage since level set function in the gradient-based model evolves depending on the local profile of the edge. In this paper, a new model is introduced by hybridizing level set formulation and complementary smooth function in order to smooth the driving force. We consider an alternative way of getting the complementary function(CF) which is much easier to simulate and makes sense for most cases having no triple junctions. The rule of thumb is that CF must be computed such that the difference between their average and the original CF function should be able to introduce a reliable driving force for the evolution of the level set function. This proposed hybrid method tries to minimize drawbacks the conventional level set method.

Estimation of smooth monotone frontier function under stochastic frontier model (확률프런티어 모형하에서 단조증가하는 매끄러운 프런티어 함수 추정)

  • Yoon, Danbi;Noh, Hohsuk
    • The Korean Journal of Applied Statistics
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    • v.30 no.5
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    • pp.665-679
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    • 2017
  • When measuring productive efficiency, often it is necessary to have knowledge of the production frontier function that shows the maximum possible output of production units as a function of inputs. Canonical parametric forms of the frontier function were initially considered under the framework of stochastic frontier model; however, several additional nonparametric methods have been developed over the last decade. Efforts have been recently made to impose shape constraints such as monotonicity and concavity on the non-parametric estimation of the frontier function; however, most existing methods along that direction suffer from unnecessary non-smooth points of the frontier function. In this paper, we propose methods to estimate the smooth frontier function with monotonicity for stochastic frontier models and investigate the effect of imposing a monotonicity constraint into the estimation of the frontier function and the finite dimensional parameters of the model. Simulation studies suggest that imposing the constraint provide better performance to estimate the frontier function, especially when the sample size is small or moderate. However, no apparent gain was observed concerning the estimation of the parameters of the error distribution regardless of sample size.

Testing for Lack of Fit via the Generalized Neyman Smooth Test

  • Lee, Geung-Hee
    • Journal of the Korean Statistical Society
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    • v.27 no.3
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    • pp.305-318
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    • 1998
  • Smoothing tests based on an L$_2$ error between a truncated courier series estimator and a true function have shown good powers for a wide class of alternatives, These tests have the same form of the Neyman smooth test whose performance depends on the selected order, a basis, the farm of estimators. We construct flexible data driven Neyman smooth tests by changing a basis, combining model selection criteria and different series estimators. A simulation study shows that the generalized Neyman smooth test with the best basis provides good power for a wider class of alternatives compared with other data driven Neyman smooth tests based on a fixed form of estimator, a fixed basis and a fixed criterion.

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SOME MODELS FOR PROGRESSIVE TAXATION

  • Kim, Hong-Jong
    • Communications of the Korean Mathematical Society
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    • v.33 no.3
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    • pp.823-831
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    • 2018
  • We define progressive tax rate functions, study their properties, and describe some smooth models. The key requirement, defining the progressive nature of the taxation model, is that the progressive tax rate functions should have infinite contact with the zero function at the origin, in order to care the poor. In constructing a wide array of such functions, assisting functions are introduced.

In vitro and in vivo evaluation of tissue-cultured mountain ginseng on penile erection

  • Lee, Ho Sung;Lee, Young Joo;Chung, Yoon Hee;Lee, Moo Yeol;Kim, Sung Tae;Ko, Sung Kwon;Momoi, Mariko;Kondoh, Yutaka;Sasaki, Fumio;Jeong, Ji Hoon
    • Journal of Ginseng Research
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    • v.40 no.4
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    • pp.334-343
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    • 2016
  • Background: Progressed tissue culture techniques have allowed us to easily obtain mass products of tissue-cultured mountain ginseng over 100 yr old (TCMG-100). We investigated the effects of TCMG-100 extract on erectile function using in vitro and in vivo studies. Methods: To examine the relaxation effects and mechanisms of action of TCMG-100 on rabbit cavernosal strips evaluated in an organ bath. To investigate the long-term treatment effect of TCMG-100, 8-wk administration was performed. After administration of TCMG-100, intracavernosal pressure, cyclic guanosine monophosphate and nitric oxide (NO) levels of cavernosal tissue, serum testosterone level, histological observation of collagen fiber, endothelium, smooth muscle cell, and transforming growth factor-${\beta}1$ were investigated. Results: TCMG-100 extract displayed dose-dependent relaxation effects on precontracted rabbit corporal smooth muscle. The TCMG-100-induced relaxation was significantly reduced by removing the endothelium, and treatment with an NO synthase inhibitor or NO scavenger. Eight weeks of TCMG-100 administration increased intracavernosal pressure in a rat model. The levels of cyclic guanosine monophosphate and NO in the corpus callosum and serum testosterone level were also increased by TCMG-100 treatment. Furthermore, histological evaluation of collagen, smooth muscle, and endothelium showed increases in endothelium and smooth muscle, and a decrease in transforming growth factor-${\beta}1$ expression. Conclusion: These relaxation effects on corporal smooth muscle and increased erectile function suggest that TCMG-100 might be used as an alternative herbal medicine to improve erectile function.

Model-independent test of gravity

  • L'Huillier, Benjamin
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.48.3-48.3
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    • 2020
  • Using redshift-space distortion, I reconstruct the growth history as a smooth function using model independent methods. Assuming general relativity, I obtain the expansion history independently of the dark energy model, and test it to the supernovae data. The results are consistent with general relativity as gravity and the cosmological constant as dark energy, although interestingly negative dark energy densities are not ruled out by the data at z~0.7 to 1.

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Control of Two-Wheeled Welding Mobile Robot For Tracking a Smooth Curved Welding Path (완만한 곡선경로 추적용 이륜 용접이동로봇의 제어)

  • Ngo Manh Dung;Phuong Nguyen Thanh;Kim Hak-Kyeong;Kim Sang-Bong
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2006.06a
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    • pp.85-86
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    • 2006
  • In this paper, a nonlinear controller based on adaptive sliding-mode method which has a sliding surface vector including new boundary function is proposed and applied to a two-wheeled voiding mobile robot (WMR). This controller makes the welding point of WMR achieve tracking a reference point which is moving on a smooth curved welding path with a desired constant velocity. The mobile robot is considered in view of a kinematic model and a dynamic model in Cartesian coordinates. The proposed controller can overcome uncertainties and external disturbances by adaptive sliding-mode technique. To design the controller, the tracking error vector is defined, and then the new sliding is proposed to guarantee that the error vector converges to zero asymptotically. The stability of the dynamic system will be shown through the Lyapunov method. The simulations is shown to prove the effectiveness of the proposed controller.

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A Study on Filling Holes of the Polygon Model using Implicit Surface Scheme (음함수 곡면기법을 이용한 폴리곤 모델의 홀메움에 관한 연구)

  • Yoo Dong-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.3 s.168
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    • pp.107-114
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    • 2005
  • A new approach which combines implicit surface scheme and point projection method is presented in order to fill the arbitrarily shaped holes in the polygon model. In the method a trimmed surface which has an outer boundary curve is generated by using the implicit surface scheme and normal projection of point onto the base surface. The base surface is constructed by creating smooth implicit surface from the incomplete polygon model through which the surface should pass. In this paper an implicit surface is defined by a radial basis function, a continuous scalar-valued function over the domain $R^3$. The base surface is the set of all points at which this scalar function takes on the value zero and is created by placing zero-valued constraints at the vertices of the polygon model. In order to show the validity of the present study, various hole fillings are carried out for the complex polygon model of arbitrary topology.

Automatic Feedrate Adjustment for 2D Profile Milling (2차원 윤곽가공에서 이송률 자동 조정)

  • 고기훈;서정철;최병규
    • Korean Journal of Computational Design and Engineering
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    • v.5 no.2
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    • pp.175-183
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    • 2000
  • Proposed in this paper is a model-bated AFA (automatic feedrate-adjustment) method for maintaining smooth cutting-loads (i.e., cutting-force) during 2D-profile milling. Before the cutting-force model was established, some assumptions were verified through a series of preliminary cutting experiments (The results found that the curving-force was independent of the cutting speed and the cutting action at the cutter bosom). From the data obtained during the main cutting experiments, a “chip-load/cutting-force model”representing the cutting-force as a function of the chip-load (i.e., effective cutting-depth) and a feedrate is proposed. Based on the model. an AFA scheme for maintaining smooth cutting-force by adjusting the feedrate (i.e., F-code) according to the changes in chip-load was proposed. To check the validity of the proposed AFA scheme. another set of cutting experiments was conducted by using feedrate-adjusted NC-data while monitoring the actual machining processes using an accelerometer. The experimental results showed that the proposed AFA-scheme was quite effective.

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NUMERICAL METHODS FOR A STIFF PROBLEM ARISING FROM POPULATION DYNAMICS

  • Kim, Mi-Young
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.161-176
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    • 2005
  • We consider a model of population dynamics whose mortality function is unbounded. We note that the regularity of the solution depends on the growth rate of the mortality near the maximum age. We propose Gauss-Legendre methods along the characteristics to approximate the solution when the solution is smooth enough. It is proven that the scheme is convergent at fourth-order rate in the maximum norm. We also propose discontinuous Galerkin finite element methods to approximate the solution which is not smooth enough. The stability of the method is discussed. Several numerical examples are presented.

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