Optimal angle bounds for Steiner triangulations of polygons

2022 ◽  
pp. 3127-3143
Author(s):  
Christopher J. Bishop
Keyword(s):  
AIAA Journal ◽  
1993 ◽  
Vol 31 (6) ◽  
pp. 1162-1165
Author(s):  
Chris P. Pantelides ◽  
Shyh-Rong Tzan
Keyword(s):  

2003 ◽  
Vol 27 (1) ◽  
pp. 17-22 ◽  
Author(s):  
A. Fridman ◽  
I. Ona ◽  
E. Isakov

An optimally aligned prosthesis, as accomplished by the subjective judgment of the prosthetist, guarantees the best quality of gait. Yet, amputees can adapt to a large variety of geometrical configurations of the prosthetic components. Different external rotation angles of the foot in trans-tibial (TT) prostheses were investigated. The study tried to identify (a) the relationship between foot angle and other gait parameters and (b) the compensating pattern of the amputees to excessive external rotation of the foot. Eight (8) TT amputees, fitted with an identical type of prosthesis, were investigated during ambulation. The prosthetic foot was externally rotated as follows: optimal angle (10.94°±5.21°), optimal angle plus another 18°, and optimal angle plus another 36°. Analysis of gait was performed with the aid of an electronic walkway. Speed of gait, stance and swing time, and foot angle were monitored in 4 runs for each of the three foot angles. Speed of gait remained almost constant in the three tests. Stance and swing time, as well as step length, significantly changed when 36° were added to the optimal foot angle. This foot position significantly influenced inter-legs time difference and symmetry between the legs. During ambulation, prosthetic foot external rotation was decreased by internal rotation of the limb at the hip joint level. It is concluded that TT amputees can maintain an efficient speed of gait even when the prosthetic foot is malpositioned in excessive external rotation. Although such a malalignment significantly influences other gait parameters during walking, amputees are able to adapt themselves by internal rotation of the hip joint in the amputated leg.


Circulation ◽  
2014 ◽  
Vol 130 (suppl_2) ◽  
Author(s):  
Ken Kato ◽  
Hideyuki Miyauchi ◽  
Takashi Iimori ◽  
Koichi Sawada ◽  
Yoichi Kuwabara ◽  
...  

Introduction: In patients with pulmonary hypertension (PH), right ventricular (RV) dysfunction as a consequence of increased RV pressure may result in RV enlargement and hypertrophy, which also increases the RV myocardial perfusion. Hypothesis: We assessed the hypothesis that RV myocardial perfusion detected by planar thallium-201 (201Tl) imaging is useful for quantitative evaluation for RV dysfunction in PH patients. Method: The study groups included 16 PH patients with chronic thromboembolic pulmonary hypertension (CTEPH) and 24 healthy controls. All subjects underwent myocardial perfusion SPECT/CT. Cardiac CT was used to obtain the optimal angle to differentiate the RV from the left ventricle (LV). Forty minutes after intravenously administration of 111 MBq of 201Tl, planar acquisition from the optimal angle was performed. In the planar image, we measured the total counts of 201Tl in the RV and LV. The relative count of the RV to LV (HR/HL) was calculated as RV myocardial perfusion indicator for this study. Mean pulmonary artery pressure (mPAP) by cardiac catheterization was obtained in all PH patients to estimate the severity. Results: HR/HL was significantly elevated in the PH group compared with control (0.57 ± 0.13 vs. 0.36 ± 0.07, p <0.01). In the PH group, average mPAP was 42.2 ± 8.84mmHg, which was significantly correlated with HR/HL (r=0.70, p<0.01). In 7 patients with CTEPH who underwent pulmonary endarterectomy (PEA), HR/HL significantly decreased after PEA (from 0.57±0.16 to 0.42±0.07, p<0.05). The decrease of HR/HL was significantly associated with the decrease of mPAP after PEA (r=0.78, p<0.05). Conclusion: Relative RV accumulation in CT-guided 201Tl planar imaging by SPECT/CT was associated with the severity of PH in CTEPH patients and decreased after surgical treatment of CTEPH in parallel with the reduction of mPAP. This method may represent a novel, noninvasive monitoring tool for PH patients.


2008 ◽  
Vol 54 (3) ◽  
pp. 295 ◽  
Author(s):  
Ho Dong Rhee ◽  
Duck Mi Yoon ◽  
Eun Young Park ◽  
Hyung Seok Lee ◽  
Kyung Bong Yoon ◽  
...  

2017 ◽  
Vol 26 (01) ◽  
pp. 1750014
Author(s):  
Dongsheng Song ◽  
Yuanlin Zheng ◽  
Xiaohui Zhao ◽  
Zengyan Cai ◽  
Xianfeng Chen

The optimal angle bandwidth and wavelength bandwidth of fourth-harmonic generation (FHG) and fifth-harmonic generation (FIFHG) of the 1064[Formula: see text]nm laser are analyzed based on the numerical calculation results of non-collinear type-I and type-II phase matching processes for general nonlinear uniaxial crystals with 1[Formula: see text]cm length. The non-collinear phase matching angles and effective nonlinear coefficients of FHG and FIFHG are calculated. The optimal angle bandwidth and wavelength bandwidth are obtained. The results are beneficial to broadband and efficient non-collinear phase matching FHG and FIFHG experiments and studies.


Materials ◽  
2005 ◽  
Author(s):  
C. Remillat

The in plane mechanical properties of composites based on fibres which shape is that of a tree root has been investigated. The number of fibrils as well as the angle between them have been shown to influence significantly the effective properties of the composite. It can be shown that there is an optimal number of fibrils and an optimal angle for which the stiffness of the material is maximum


Sign in / Sign up

Export Citation Format

Share Document