Discrete Construction of Compoundly Weighted Voronoi Diagram

2013 ◽  
Vol 467 ◽  
pp. 545-548
Author(s):  
Hui Wang

Compoundly weighted Voronoi diagram is difficult to construct because the bisector is fairly complex. In traditional algorithm, production process is always extremely complex and it is more difficult to graphic display because of the complex definition of mathematic formula. In this paper, discrete algorithms are used to construct compoundly weighted Voronoi diagrams. The algorithm can get over all kinds of shortcomings that we have just mentioned. So it is more useful and effective than the traditional algorithm. The results show that the algorithm is both simple and useful, and it is of high potential value in practice.

2014 ◽  
Vol 533 ◽  
pp. 264-267
Author(s):  
Xin Liu

Voronoi Diagram for a set of points and straight line segments is difficult to construct because general figures have uncertain shapes[. In traditional algorithm, when generator of general figure changes, production process will be extremely complex because of the change of regions neighboring with those generator changed. In this paper, we use dynamicconstruction of Voronoi diagrams. The algorithm can get over all kinds of shortcomings that we have just mentioned. So it is more useful and effective than the traditional algorithm[2]. The results show that the algorithm is both simple and useful, and it is of high potential value in practice.


1996 ◽  
Vol 168 (S30) ◽  
pp. 9-16 ◽  
Author(s):  
Hans-Ulrich Wittchen

Comorbidity has become an increasingly popular theme in psychiatry and clinical psychology, although its heuristic value was recognised long ago. Frequently used in research and practice, no definition of comorbidity is uniformly accepted and it has no comprehensive and coherent theoretical framework. These factors have led to substantial variation in the magnitude of comorbidity across studies. The variability in the definition, assessment and design of comorbidity studies has led to an increasingly complex and confusing picture about the potential value of this concept. The full exploration of mechanisms of comorbidity requires an interdisciplinary approach to investigating nosology, assessment, and underlying models of comorbidity, as well as experimental study designs beyond the scope of clinical and epidemiological studies. A more precise specification of comorbidity patterns might help identify common biochemical and cognitive markers relevant in the aetiology of specific mental disorders as well as comorbid conditions. Critical issues that might help us understand and explain the variability of findings are described.


2021 ◽  
Vol 845 (1) ◽  
pp. 012111
Author(s):  
N L Kleymenova ◽  
L I Nazina ◽  
I N Bolgova ◽  
A N Pegina ◽  
O A Orlovseva

Abstract The typical problem of vegetable oil processing is to ensure the consistency of the output quality. The one parameter that mostly affects quality is the presence of wax, which commands control at all stages of the process (refinement, odours removal, freezing). Statistical methods of analysis can be usefully applied to the improvement of vegetable oil processing, as demonstrated by this study. The authors in fact used statistical methods in order to: a) optimize parameters consistency, b) enhance process efficiency, c) improve economic performance and finally, d) assess process stability. The following statistical tools were used in the study: 1) Histograms, 2) Shewhart Charts, 3) Ishikawa Diagrams and, 4) Pareto Chart. A first major finding was that the occurrence of process flaws that would result in product rejection had a 5% probability of happening at all stages of the process. Moreover, the analysis of process stability with maps of average values and ranges leads to the finding that the process itself is statistically unstable. Finally, cause-and-effect relationships of influencing factors (such as the quality of feedstock) were investigated, thus determining the main causes of flaw in the production process. This leads to the definition of corrective actions, the effectiveness of which was then investigated and evaluated.


2010 ◽  
Vol 20 (07) ◽  
pp. 2241-2252 ◽  
Author(s):  
B. P. J. DE LACY COSTELLO ◽  
I. JAHAN ◽  
P. HAMBIDGE ◽  
K. LOCKING ◽  
D. PATEL ◽  
...  

In our recent letter [de Lacy Costello et al., 2009] we described the formation of spontaneous complex tessellations of the plane constructed in simple chemical reactions between drops of metal salts and ferricyanide or ferrocyanide loaded gels. In this paper, we provide more examples of binary tessellations and extend our analysis to tessellations constructed via tertiary mixtures of reactants. We also provide a classification system which describes the tessellation based on the reactivity of the metal salt with the substrate and also the cross-reactivity of the primary products. This results in balanced tessellations where both reactants have equal reactivity or unbalanced tessellations where one reactant has a lower reactivity with the gel. The products can also be partially or fully cross reactive which gives a highly complex tessellation. The tessellations are made up of colored cells (corresponding to different metal ferricyanides or ferrocyanides) separated by bisectors of low precipitate concentration. The tessellations constructed by these reactions constitute generalized Voronoi diagrams. In the case of certain binary or tertiary combinations of reactants where the diffusion/reaction rates differ, then multiplicatively weighted crystal growth Voronoi diagrams are constructed. Where one reactant has limited or no reactivity with the gel (or the products are cross reactive) then the fronts originating from the reactive metal ions cross the fronts originating from the partially reactive metal ions. The fronts can annihilate in the formation of a second Voronoi diagram relating to the relative positions of the reactive drops. Therefore, two or more generalised or weighted Voronoi diagrams can be calculated in parallel by these simple chemical systems. However when these reactions were used to calculate an additively weighted Voronoi diagram (the reaction was initiated at different time intervals) the diagram constructed did not correspond to the theoretical calculation. We use the failure of these reactions to construct an additively weighted Voronoi diagram to prove a mechanism of substrate competition for bisector formation. These tessellations are an important class of pattern forming reactions and are useful in modeling natural pattern forming phenomena in addition to being a great resource for scientific demonstrations.


Author(s):  
Alicia García Holgado ◽  
Francisco José García-Peñalvo ◽  
Valentina Zangrando ◽  
Antonio M. Seoane Pardo

The MIH (Multicultural Interdisciplinary Handbook) project provides new tools for helping teachers and pupils plunge deeper into the culture and the language of another nation via its history and its landscape/geography. The Digital Modules are the most innovative tool of the project. Throughout the chapter, the authors present all stages to develop MIH Digital Modules: (1) the definition of the Learning Object Model based on IEEE LOM; (2) the framework design in order to provide quality digital contents; (3) the Digital Modules production process both during the project and after the end of the project; (4) the tutorials that support all the creation process; and last, but not least, and (5) the multicultural perspective of the Digital Modules.


Author(s):  
Barbara B. Biesecker ◽  
Kathryn F. Peters ◽  
Robert Resta

The definition of genetic counseling has evolved from being proscriptive to the triumvirate of patient education, facilitating informed decision making, and adaptation to a risk or condition. This definition, endorsed by the National Society of Genetic Counselors, has been widely cited and used in graduate training around the globe. Despite significant advances in the roles of genetic counselors, the central tenets of counseling remain. Our practice model was previously described as psychoeducational but has evolved to psychotherapeutic to emphasize relational counseling. The goals of genetic counseling are specific, vary by subspecialty, and evolve with advances in genomic science. In the cancer setting much of genetic counseling is about cancer risk and the potential value of predictive testing to inform choices, whereas in the pediatric setting, the goal is to diagnose or determine a cause for a child’s condition.


1960 ◽  
Vol 17 (5) ◽  
pp. 713-720 ◽  
Author(s):  
C. J. Kerswill

Atlantic salmon, smelt, alewives, shad, eastern brook trout, and introduced brown trout occur in waters that will be affected by the Passamaquoddy power project. The first four species are taken occasionally in herring weirs but total annual landed values did not exceed $6,000 in the period 1937 to 1956. Salmon and trout have high potential value for angling, subject to improvements in local river management.Construction of tidal power dams should overcome the present lack of typical estuarine conditions in the Passamaquoddy area and favour production of anadromous species. An improved sport fishery for sea-run trout could develop. Realization of the potential production of Atlantic salmon, alewives and shad, but possibly not sea-run trout, would depend on satisfactory access from the Bay of Fundy to the impounded areas.


Author(s):  
Massimiliano Gobbi ◽  
Mario Guagliano ◽  
Giampiero Mastinu ◽  
Giorgio Previati ◽  
Andrea Finzi ◽  
...  

The presented research activity is focused on the lightweight construction of a of truck wheel, with the final aim of improving the energy efficiency in compliance with current safety standards. On the basis of the design of a truck wheel currently into production, the objective of reducing the wheel mass is achieved by adopting high-strength materials, optimizing the geometry, and developing a new production process. The approach used for the new wheel design is based on the selection of a proper mission of the vehicle and on the acquisition of the loading spectra defined by using a new measuring wheel. The information obtained is used during the structural analysis phase. Based on the current production process, a number of suitable materials have been selected. Innovative manufacturing processes have been considered for improving the fatigue life of the wheel. Shot peening has been considered as a method to improve fatigue strength. Moreover, the introduction of laser cutting and welding led both to more freedom in the definition of the geometry of the wheel and to the reduction of the effects of geometric notches due to the absence of weld beads. A dedicated indoor test rig was used for durability tests. These activities led to a new truck wheel with reduced mass that is currently in the experimental validation phase.


2013 ◽  
Vol 443 ◽  
pp. 726-729
Author(s):  
Long He ◽  
Jing Fang Wang

This paper gives the definition of configuration rules in the customized production process of mechanical products from two different levels: the activities and parts. In this configuration, different customized production process of customized products will be generated to achieve the purpose of reusing different types of resources; finally, practical example will be given to prove this verification. Customized production is interactive and highly imitative. According to theses two advantages, this paper adopts computer technology to establish geometric model of production figures. In this way, this application can not only simultaneously meet the needs of both machinery manufacturing production and customized production, but also launch various simulation, verification, and contrast and optimization process to a variety of program. Finally, an optimal method for production is used eventually to realize the purpose of low-cost and high quality.


2006 ◽  
Vol 16 (02n03) ◽  
pp. 117-144 ◽  
Author(s):  
SANG WON BAE ◽  
KYUNG-YONG CHWA

This paper investigates geometric and algorithmic properties of the Voronoi diagram for a transportation network on the Euclidean plane. In the presence of a transportation network, the distance is measured as the length of the shortest (time) path. In doing so, we introduce a needle, a generalized Voronoi site. We present an O(nm2+ m3+ nm log n) algorithm to compute the Voronoi diagram for a transportation network on the Euclidean plane, where n is the number of given sites and m is the complexity of the given transportation network. Moreover, in the case that the roads in a transportation network have only a constant number of directions and speeds, we propose two algorithms; one needs O(nm + m2+ n log n) time with O(m(n + m)) space and the other O(nm log n + m2log m) time with O(n + m) space.


Sign in / Sign up

Export Citation Format

Share Document