Solutions of Yang–Baxter equation in the vertex model and the face model for octet representation

1991 ◽  
Vol 32 (8) ◽  
pp. 2210-2218 ◽  
Author(s):  
Bo‐Yu Hou ◽  
Bo‐Yuan Hou ◽  
Zhong‐Qi Ma ◽  
Yu‐Dong Yin
Keyword(s):  
Baxter Equation ◽  
Vertex Model ◽  
Face Model ◽  
The Face

A FAMILY OF FACE MODELS RELATED TO ZN-SYMMETRIC VERTEX MODEL OF BELAVIN

2004 ◽  
Vol 19 (supp02) ◽  
pp. 478-509
Author(s):  
Y. YAMADA
Keyword(s):  
Baxter Equation ◽  
Vertex Model ◽  
Face Type ◽  
The Face ◽  
Elliptic Solutions ◽  
Intertwining Relation

We present face-type elliptic solutions to the Yang-Baxter equation. They have 2N-2 real parameters. When specializing them to definite values, we recover the various models so far known. The intertwining relation between the face models above and the ZN-symmetric vertex model of Belavin is also given.

scholarly journals On the Yang–Baxter equation for the six-vertex model

2014 ◽  
Vol 882 ◽  
pp. 70-96 ◽  
Author(s):  
Vladimir V. Mangazeev
Keyword(s):  
Baxter Equation ◽  
Vertex Model

scholarly journals A Practical Approach for Identity-Embodied 3D Artistic Face Modeling

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Tanasai Sucontphunt
Keyword(s):  
Real Time ◽  
Gpu Acceleration ◽  
Human Face ◽  
Human Identity ◽  
Face Modeling ◽  
Novice User ◽  
Face Model ◽  
The Face ◽  
Core Idea ◽  
Cartoon Characters

This paper describes a practical technique for 3D artistic face modeling where a human identity can be inserted into a 3D artistic face. This approach can automatically extract the human identity from a 3D human face model and then transfer it to a 3D artistic face model in a controllable manner. Its core idea is to construct a face geometry space and a face texture space based on a precollected 3D face dataset. Then, these spaces are used to extract and blend the face models together based on their facial identities and styles. This approach can enable a novice user to interactively generate various artistic faces quickly using a slider control. Also, it can run in real-time on an off-the-shelf computer without GPU acceleration. This approach can be broadly used in various 3D artistic face modeling applications such as a rapid creation of a cartoon crowd with different cartoon characters.

scholarly journals The Oxygen Delivery Characteristics of the Hudson Oxy-one Face Mask

1989 ◽  
Vol 17 (2) ◽  
pp. 180-184 ◽  
Author(s):  
J. Milross ◽  
I. H. Young ◽  
P. Donnelly
Keyword(s):  
Flow Rate ◽  
Oxygen Delivery ◽  
Face Mask ◽  
Oxygen Flow Rate ◽  
Oxygen Flow ◽  
Face Model ◽  
Oxygen Fraction ◽  
Constant Rate ◽  
The Face ◽  
Definition Of

The inspired oxygen fraction (FIO2) delivered by the Hudson Oxy-one face mask was measured under changing conditions of ventilation, oxygen flow rate to mask, and mask fit. A single trained subject sat in a body plethysmograph to measure ventilation and breathed at a constant rate of 15 per minute at three different tidal volumes, of approximately 0.3, 0.6, and 1.2 litres, from the mouthpiece in the plethysmograph. The Oxy-one face mask was fitted to a plaster-of Paris face model on the outside of the plethysmograph in a loose and then in a tight fashion. Oxygen concentration was continuously monitored from a point in the metal tube connecting the face model to the mouthpiece. The tightly fitting mask demonstrated an orderly reduction in FIO2 as ventilation increased and oxygen flow rate to the mask decreased. The mean FIO2 at a ventilation of 4.5 l.min-1 and 8 l.min-1 oxygen flow was 78% and this fell to 27% at a ventilation of 16 l.min-1 and oxygen flow of 2 l.min-1. The loosely fitting mask demonstrated larger SD of measurements and lower mean maximum FIO2 values of 46 to 49% and these fell in an irregular fashion to similar minimum values as ventilation increased and oxygen flow decreased. Although the precise definition of the FIO2 for each breath from the changing concentration during each inspiration was not possible, these results indicate that FIO2 changes in a predictable way as a function of ventilation and oxygen flow, if the mask is close fitting. This method could be conveniently used to study other oxygen delivery systems.

scholarly journals A Multi-Objective Optimization Problem on Evacuating 2 Robots from the Disk in the Face-to-Face Model; Trade-Offs between Worst-Case and Average-Case Analysis

Information ◽  
2020 ◽  
Vol 11 (11) ◽  
pp. 506
Author(s):  
Huda Chuangpishit ◽  
Konstantinos Georgiou ◽  
Preeti Sharma
Keyword(s):  
Optimization Problem ◽  
Case Analysis ◽  
Worst Case Analysis ◽  
Computer Assisted ◽  
Average Case Analysis ◽  
Worst Case ◽  
Average Case ◽  
Face Model ◽  
Face To Face ◽  
The Face

The problem of evacuating two robots from the disk in the face-to-face model was first introduced by Czyzowicz et al. [DISC’2014], and has been extensively studied (along with many variations) ever since with respect to worst-case analysis. We initiate the study of the same problem with respect to average-case analysis, which is also equivalent to designing randomized algorithms for the problem. In particular, we introduce constrained optimization problem 2EvacF2F, in which one is trying to minimize the average-case cost of the evacuation algorithm given that the worst-case cost does not exceed w. The problem is of special interest with respect to practical applications, since a common objective in search-and-rescue operations is to minimize the average completion time, given that a certain worst-case threshold is not exceeded, e.g., for safety or limited energy reasons. Our main contribution is the design and analysis of families of new evacuation parameterized algorithms which can solve 2EvacF2F, for every w for which the problem is feasible. Notably, the worst-case analysis of the problem, since its introduction, has been relying on technical numerical, computer-assisted calculations, following tedious robot trajectory analysis. Part of our contribution is a novel systematic procedure, which given any evacuation algorithm, can derive its worst- and average-case performance in a clean and unified way.

DETECTION OF MULTIPLE FACES IN AN IMAGE USING SKIN COLOR INFORMATION AND LINES-OF-SEPARABILITY FACE MODEL

2006 ◽  
Vol 20 (01) ◽  
pp. 39-61 ◽  
Author(s):  
P. S. HIREMATH ◽  
AJIT DANTI
Keyword(s):  
Skin Color ◽  
Geometric Approach ◽  
Color Segmentation ◽  
Color Model ◽  
Facial Features ◽  
Color Information ◽  
Face Model ◽  
The Face ◽  
Human Faces ◽  
Control Limits

In this paper, human faces are detected using the skin color information and the Lines-of-Separability (LS) face model. The various skin color spaces based on widely used color models such as RGB, HSV, YCbCr, YUV and YIQ are compared and an appropriate color model is selected for the purpose of skin color segmentation. The proposed approach of skin color segmentation is based on YCbCr color model and sigma control limits for variations in its color components. The segmentation by the proposed method is found to be more efficient in terms of speed and accuracy. Each of the skin segmented regions is then searched for the facial features using the LS face model to detect the face present in it. The LS face model is a geometric approach in which the spatial relationships among the facial features are determined for the purpose of face detection. Hence, the proposed approach based on the combination of skin color segmentation and LS face model is able to detect single as well as multiple faces present in a given image. The experimental results and comparative analysis demonstrate the effectiveness of this approach.

scholarly journals Pelaksanaan Jaring Aspirasi Sebagai Komunikasi Publik Pemerintah Daerah Kabupaten Kulon Progo

2019 ◽  
Vol 4 (1) ◽  
pp. 1-16
Author(s):  
Bawa Supratman ◽  
Fatah Nashir ◽  
Ahmad Syafi'i Rahman ◽  
Zainul Arifin ◽  
Cipto Sembodo
Keyword(s):  
Public Service ◽  
Public Information ◽  
Regional Government ◽  
Face Model ◽  
Face To Face ◽  
The People ◽  
The Face ◽  
Data Validity ◽  
Legal Sociology

Jaring Aspirasi is a liaison between the people and the local government leaders of Kulonprogo Regency. With the face-to-face model with a regent every Thursday, it is hoped that public information will be absorbed immediately to solve problems as soon as possible. This legal sociology study is intended to find out how the process works. then the research was conducted by means of observation, documentation and interviews. Triangulation was also carried out to obtain data validity as expected. Qualitative analysis is analytical descriptive of the results of the collected data. The information and public complaints in the seminar department are resolved in four categories depending on the quality of the information. This pattern satisfies members of the community and makes them realize that information cannot always be resolved at one time, especially in matters requiring disposition with other institutions. Kamispaginan as a form of public service is a form of joint deliberation between the regional government and the community which should be continued with increased socialization so that community participation will also increase.

scholarly journals Littlewood–Richardson coefficients for Grothendieck polynomials from integrability

2019 ◽  
Vol 2019 (757) ◽  
pp. 159-195 ◽  
Author(s):  
Michael Wheeler ◽  
Paul Zinn-Justin
Keyword(s):  
Baxter Equation ◽  
Partition Functions ◽  
Vertex Model ◽  
Structure Constants ◽  
Product Rules ◽  
Grothendieck Polynomials

AbstractWe study the Littlewood–Richardson coefficients of double Grothendieck polynomials indexed by Grassmannian permutations. Geometrically, these are the structure constants of the equivariant K-theory ring of Grassmannians. Representing the double Grothendieck polynomials as partition functions of an integrable vertex model, we use its Yang–Baxter equation to derive a series of product rules for the former polynomials and their duals. The Littlewood–Richardson coefficients that arise can all be expressed in terms of puzzles without gashes, which generalize previous puzzles obtained by Knutson–Tao and Vakil.

Sign in / Sign up

Export Citation Format

Share Document