• 신경치료
• /
• 제22권3호
• /
• pp.19-23
• /
• 2018

Purpose The purpose of this study was to investigate the change of balance ability by performing closed chain exercise on stable support surface and unstable support surface in twenties. Methods This study randomly selected 15 students in the closed chain exercise group on the stable support side and 15 on the closed chain exercise group on the unstable support side. Balance ability was measured before and after the start of exercise and static balance was measured by OLT(One Leg Standing Test) and FRT (Functional Reach Test). Result The changes of the function reach test of the closed chain movement according to the ground type were significant in the unstable and stable support surfaces and the change of function reach test after the intervention in the two groups was significantly improved compared with the closed chain movement respectively. The one leg standing test changes of the closed chain movement according to the ground type showed significant results on the unstable and stable support surfaces, but there was no significant difference in the one leg standing test changes after intervention between the two groups. Conclusion The effect of closed chain training on ground type is unstable. The change of function reach test and one leg standing test of the closed chain exercise group on the stable support surface resulted in significant changes after exercise, but there was a significant difference in the balance ability of function reach test change after intervention between the groups.

• 대한수학회논문집
• /
• 제11권3호
• /
• pp.825-829
• /
• 1996

We prove that if G is the fundamental group of a closed surface or a Seifert fibered space and K is a finitely generated subgroup of G, and if for any element g in G there exists an integer $n_g$ such that $g^{n_g}$ belongs to K, then K is of finite index in G.

• 대한수학회보
• /
• 제56권2호
• /
• pp.515-520
• /
• 2019

We give new evidence that "complicated" Heegaard surfaces behave like incompressible surfaces. More precisely, suppose that a closed connected orientable 3-manifold M contains a closed connected incompressible surface F which separates M into two (connected) components $M_1$ and $M_2$. Let S be a Heegaard surface of M. Our result is that if the Hempel distance of S is at least four, then S is isotoped so that $S{\cap}M_i$ is incompressible for each i = 1, 2.

• 한국CDE학회논문집
• /
• 제3권2호
• /
• pp.135-139
• /
• 1998

The hodograph, which are usually defined as the derivative of parametric curve or surface, is useful far various geometric operations. It is known that the hodographs of Bezier curves and surfaces can be represented in the closed form. However, the counterparts of rational Bezier curves and surface have not been discussed yet. In this paper, the equations are derived, which are the closed form of rational Bezier curves and surfaces. The hodograph of rational Bezier curves of degree n can be represented in another rational Bezier curve of degree 2n. The hodograph of a rational Hazier surface of degree m×n with respect to a parameter can be also represented in rational Bezier surface of degree 2m×2n. The control points and corresponding weight of the hodographs are directly computed using the control points and weights of the given rational curves or surfaces.

• 융합신호처리학회논문지
• /
• 제4권3호
• /
• pp.21-26
• /
• 2003

본 논문은 퓨리에 변환을 이용한 3차원 폐곡면 객체의 특징 벡터 추출 기법을 제시한다. 특징 벡터는 3차원극좌표계를 이용하여 폐곡면 객체의 회전각도별 내측거리값을 퓨리에 변환을 통해 주파수 영역으로 변환하여 추출한다. 특징 벡터는 폐곡면 표면점과 중심점과의 관계를 나타내는 내측거리값을 활용하므로 위치 이동에 불변이고 내측거리값은 퓨리에 변환 전 정규화되기 때문에 크기 변화에 불변이며 퓨리에 변환 후 파워 스펙트럼을 적용하여 회전 변화 불변임을 보여주고 있다. 실험 결과 위치 이동, 크기 변화, 회전 변화에 불변임을 알 수 있고 서로 상이한 객체간에 변별력이 있어 객체 고유의 특징 벡터로써 활용이 가능함을 제시한다.

• 한국표면공학회:학술대회논문집
• /
• 한국표면공학회 2003년도 추계학술발표회초록집
• /
• pp.116-116
• /
• 2003

• Advances in biomechanics and applications
• /
• 제1권2호
• /
• pp.85-93
• /
• 2014

In this paper, two procedures of enumerating the axial rotation are proposed using the unit sphere of the spherical rotation coordinate system specifying 3D rotation. If the trajectory of the movement is known, the integration of the axial component of the angular velocity plus the geometric effect equal to the enclosed area subtended by the geodesic path on the surface of the unit sphere. If the postures of the initial and final positions are known, the axial rotation is determined by the angular difference from the parallel transport along the geodesic path. The path dependency of the axial rotation of the three dimensional rigid body motion is due to the geometric effect corresponding to the closed loop discontinuity. Firstly, the closed loop discontinuity is examined for the infinitesimal region. The general closed loop discontinuity can be evaluated by the summation of those discontinuities of the infinitesimal regions forming the whole loop. This general loop discontinuity is equal to the surface area enclosed by the closed loop on the surface of the unit sphere. Using this quantification of the closed loop discontinuity of the axial rotation, the geometric effect is determined in enumerating the axial rotation. As an example, the axial rotation of the arm by the Codman's movement is evaluated, which other methods of enumerating the axial rotations failed.

• Korean Journal of Mathematics
• /
• 제25권4호
• /
• pp.555-561
• /
• 2017

We show that a closed curve invariant under inversions with respect to two intersecting circles intersecting at angle of an irrational multiple of $2{\pi}$ is a circle. This generalizes the well known fact that a closed curve symmetric about two lines intersecting at angle of an irrational multiple of $2{\pi}$ is a circle. We use the result to give a different proof of that a compact embedded cmc surface in ${\mathbb{R}}^3$ is a sphere. Finally we show that a closed embedded cmc surface which is invariant under the spherical reflections about two spheres, which intersect at an angle that is an irrational multiple of $2{\pi}$, is a sphere.

• PNF and Movement
• /
• 제16권3호
• /
• pp.433-439
• /
• 2018

Purpose: Visual information is one of the most important factors for postural balance. The purpose of this study was to investigate the effect of visual deprivation on the lower extremities and trunk muscle activity on an unstable surface during quiet standing. Methods: Fifteen healthy males from a university population participated in this study. Surface electromyography of the rectus abdominis, the erector spinalis, the vastus femoris oblique, the semitendinosis, the tibialis anterior, and the medial gastrocnemius was measured using EMG equipment (Telemyo 2400, Noraxon, USA). The participants were asked to maintain postural balance on an unstable surface (Balance pad, Airex, USA) for 30 seconds with eyes open and with eyes closed during quiet standing. The Wilcoxon test was used to compare the muscle activity of the lower extremities and the trunk between open and closed eyes on an unstable surface. Results: The muscle activity of the trunk and the lower extremities was increased more with eyes closed than with eyes open on the unstable surface during quiet standing. Conclusion: The findings from this study suggest that visual information could alter lower extremity and trunk muscle activity. Therefore, visual deprivation can be used as a method to improve postural balance.

• 비파괴검사학회지
• /
• 제34권3호
• /
• pp.211-219
• /
• 2014

Closed cracks are difficult to detect using conventional ultrasonic testing because most incident ultrasound passes completely through these cracks. Nonlinear ultrasound inspection using sub-harmonic frequencies a promising method for detecting closed cracks. To implement this method, a sub-harmonic phased array (PA) is proposed to visualize the length of closed cracks in solids. A sub-harmonic PA generally consists of a single transmitter and an array receiver, which detects sub-harmonic waves generated from closed cracks. The PA images are obtained using the total focusing method (TFM), which (with a transmitter and receiving array) employs a full matrix in the observation region to achieve fine image resolution. In particular, the receiving signals are measured using a laser Doppler vibrometer (LDV) to collect PA images for both fundamental and sub-harmonic frequencies. Oblique incidence, which is used to boost sub-harmonic generation, inevitably produces various surface waves that contaminate the signals measured in the receiving transducer. Surface wave interference often degrades PA images severely, and it becomes difficult to read the closed crack's position from the images. Various methods to prevent or eliminate this interference are possible. In particular, enhancing images with signal processing could be a highly cost-effective method. Because periodic patterns distributed in a PA image are the most frequent interference induced by surface waves, spatial frequency filtering is applicable for removing these waves. Experiments clearly demonstrate that the spatial frequency filter improves PA images.