World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering最新文献
In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for singular differential equation in Banach space, which improved and generalize the result of related paper. Keywords—Banach space, cone, fixed point index, singular differential equation.
{"title":"Positive Solutions for Three-Point Boundary Value Problems of Third-Order Nonlinear Singular Differential Equations in Banach Space","authors":"Li Xiguang","doi":"10.5281/ZENODO.1335768","DOIUrl":"https://doi.org/10.5281/ZENODO.1335768","url":null,"abstract":"In this paper, by constructing a special set and utilizing fixed point index theory, we study the existence of solution for singular differential equation in Banach space, which improved and generalize the result of related paper. Keywords—Banach space, cone, fixed point index, singular differential equation.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"21 6","pages":"919-922"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91439994","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex functions to non-smooth variational problems. By using these concepts, numbers of necessary and sufficient conditions are established for a nonsmooth variational problem wherein Clarke’s generalized gradient is used. Also, weak, strong and converse duality are established. Keywords—Variational problem; Nonsmooth pseudo-invex; Nonsmooth quasi-invex; Critical point; Duality
{"title":"Characterization of Solutions of Nonsmooth Variational Problems and Duality","authors":"Juan Zhang, Changzhao Li","doi":"10.5281/ZENODO.1088172","DOIUrl":"https://doi.org/10.5281/ZENODO.1088172","url":null,"abstract":"In this paper, we introduce a new class of nonsmooth pseudo-invex and nonsmooth quasi-invex functions to non-smooth variational problems. By using these concepts, numbers of necessary and sufficient conditions are established for a nonsmooth variational problem wherein Clarke’s generalized gradient is used. Also, weak, strong and converse duality are established. Keywords—Variational problem; Nonsmooth pseudo-invex; Nonsmooth quasi-invex; Critical point; Duality","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"23 1","pages":"112-118"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83638087","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state dependent. As a result of the finite waiting space, state dependent services and state dependent vacation policies, the analysis of these queueing models needs special attention. We provide a recursive method using the supplementary variable technique to compute the stationary queue length distributions at pre-arrival and arbitrary epochs. An efficient computational algorithm of the model is presented which is fast and accurate and easy to implement. Various performance measures have been discussed. Finally, some special cases and numerical results have been depicted in the form of tables and graphs.
{"title":"Analysis Of Gi/M(N)/1/N Queue With Single Working Vacation And Vacation Interruption","authors":"P. V. Laxmi, V. Goswami, V. Suchitra","doi":"10.5281/ZENODO.1088314","DOIUrl":"https://doi.org/10.5281/ZENODO.1088314","url":null,"abstract":"This paper presents a finite buffer renewal input single working vacation and vacation interruption queue with state dependent services and state dependent vacations, which has a wide range of applications in several areas including manufacturing, wireless communication systems. Service times during busy period, vacation period and vacation times are exponentially distributed and are state dependent. As a result of the finite waiting space, state dependent services and state dependent vacation policies, the analysis of these queueing models needs special attention. We provide a recursive method using the supplementary variable technique to compute the stationary queue length distributions at pre-arrival and arbitrary epochs. An efficient computational algorithm of the model is presented which is fast and accurate and easy to implement. Various performance measures have been discussed. Finally, some special cases and numerical results have been depicted in the form of tables and graphs.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"49 1","pages":"740-746"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80328157","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this study, a new reliable technique use to handle the foam drainage equation. This new method is resulted from VIM by a simple modification that is Reconstruction of Variational Iteration Method (RVIM). The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. Foaming occurs in many distillation and absorption processes. Results are compared with those of Adomian’s decomposition method (ADM).The comparisons show that the Reconstruction of Variational Iteration Method is very effective and overcome the difficulty of traditional methods and quite accurate to systems of non-linear partial differential equations.
{"title":"An Analytical Method to Analysis of Foam Drainage Problem","authors":"A. Nikkar, M. Mighani","doi":"10.5281/ZENODO.1088165","DOIUrl":"https://doi.org/10.5281/ZENODO.1088165","url":null,"abstract":"In this study, a new reliable technique use to handle the foam drainage equation. This new method is resulted from VIM by a simple modification that is Reconstruction of Variational Iteration Method (RVIM). The drainage of liquid foams involves the interplay of gravity, surface tension, and viscous forces. Foaming occurs in many distillation and absorption processes. Results are compared with those of Adomian’s decomposition method (ADM).The comparisons show that the Reconstruction of Variational Iteration Method is very effective and overcome the difficulty of traditional methods and quite accurate to systems of non-linear partial differential equations.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"17 1","pages":"94-98"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74731821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
W. Rattanasakulthong, P. Sirisangsawang, S. Pinitsoontorn
— Sputtered Co x Cu 100-x films with the different compositions of x = 57.7, 45.8, 25.5, 13.8, 8.8, 7.5 and 1.8 were deposited on Cr under-layer by RF-sputtering. SEM result reveals that the averaged thickness of Co-Cu film and Cr under-layer are 92 nm and 22nm, respectively. All Co-Cu films are composed of Co (FCC) and Cu (FCC) phases in (111) directions on BCC-Cr (110) under-layers. Magnetic properties, surface roughness and morphology of Co-Cu films are dependent on the film composition. The maximum and minimum surface roughness of 3.24 and 1.16nm are observed on the Co 7.5 Cu 92.5 and Co 45.8 Cu 54.2 films, respectively. It can be described that the variance of surface roughness of the film because of the difference of the agglomeration rate of Co and Cu atoms on Cr under-layer. The Co 57.5 Cu 42.3 , Co 45.8 Cu 54.2 and Co 25.5 Cu 74.5 films shows the ferromagnetic phase whereas the rest of the film exhibits the paramagnetic phase at room temperature. The saturation magnetization, remnant magnetization and coercive field of Co-Cu films on Cr under-layer are slightly increased with increasing the Co composition. It can be concluded that the required magnetic properties and surface roughness of the Co-Cu film can be adapted by the adjustment of the film composition.
采用射频溅射法在Cr衬底上制备了x = 57.7、45.8、25.5、13.8、8.8、7.5和1.8的Co x Cu 100-x溅射膜。SEM结果表明，Co-Cu膜和Cr下层的平均厚度分别为92 nm和22nm。所有Co-Cu膜均由BCC-Cr(110)底层(111)方向的Co (FCC)相和Cu (FCC)相组成。Co-Cu膜的磁性能、表面粗糙度和形貌取决于膜的组成。Co 7.5 Cu 92.5和Co 45.8 Cu 54.2薄膜的表面粗糙度最大值分别为3.24 nm和1.16nm。可以认为，薄膜表面粗糙度的变化是由于Co和Cu原子在下层Cr上聚集速率的不同造成的。在室温下，Co 57.5 Cu 42.3、Co 45.8 Cu 54.2和Co 25.5 Cu 74.5为铁磁相，其余为顺磁相。随着Co含量的增加，Cr下层Co- cu膜的饱和磁化强度、剩余磁化强度和矫顽力场均略有增大。结果表明，通过调整Co-Cu膜的成分，可以达到所需的磁性能和表面粗糙度。
{"title":"Composition Dependent Formation of Sputtered Co-Cu Film on Cr Under-Layer","authors":"W. Rattanasakulthong, P. Sirisangsawang, S. Pinitsoontorn","doi":"10.5281/ZENODO.1335778","DOIUrl":"https://doi.org/10.5281/ZENODO.1335778","url":null,"abstract":"— Sputtered Co x Cu 100-x films with the different compositions of x = 57.7, 45.8, 25.5, 13.8, 8.8, 7.5 and 1.8 were deposited on Cr under-layer by RF-sputtering. SEM result reveals that the averaged thickness of Co-Cu film and Cr under-layer are 92 nm and 22nm, respectively. All Co-Cu films are composed of Co (FCC) and Cu (FCC) phases in (111) directions on BCC-Cr (110) under-layers. Magnetic properties, surface roughness and morphology of Co-Cu films are dependent on the film composition. The maximum and minimum surface roughness of 3.24 and 1.16nm are observed on the Co 7.5 Cu 92.5 and Co 45.8 Cu 54.2 films, respectively. It can be described that the variance of surface roughness of the film because of the difference of the agglomeration rate of Co and Cu atoms on Cr under-layer. The Co 57.5 Cu 42.3 , Co 45.8 Cu 54.2 and Co 25.5 Cu 74.5 films shows the ferromagnetic phase whereas the rest of the film exhibits the paramagnetic phase at room temperature. The saturation magnetization, remnant magnetization and coercive field of Co-Cu films on Cr under-layer are slightly increased with increasing the Co composition. It can be concluded that the required magnetic properties and surface roughness of the Co-Cu film can be adapted by the adjustment of the film composition.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"46 1","pages":"1516-1519"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81128074","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abstract —Rankings for output of Chinese main agricultural com-modity in the world for 1978, 1980, 1990, 2000, 2006, 2007 and 2008have been released in United Nations FAO Database. Unfortunately,where the ranking of output of Chinese cotton lint in the world for2008 was missed. This paper uses sequential data mining methodswith decision rules filling this gap. This new data mining methodwill be help to give a further improvement for United Nations FAODatabase. Keywords —Ranking, output of the main agricultural commodity,gross domestic product, decision table, information system; datamining, decision rule I. I NTRODUCTION Recently, Food and Agriculture Organization of the UnitedNations has released rankings for output of Chinese mainagricultural commodity in the world, i.e., the following datatable was given ([10]), where u 1 ,u 2 ,u 3 ,u 4 ,u 5 ,u 6 ,u 7 denote1978,1980,1990,2000,2006,2007,2008.T ABLE I:I NCOMPLETE D ATA T ABLE Item u 1 u 2 u 3 u 4 u 5 u 6 u 7 Cereals 2 1 1 1 1 1 1Meat 3 3 1 1 1 1 1Cotton Lint 3 2 1 1 1 1Soybeans 3 3 3 4 4 4 4Groundnuts in Shell 2 2 2 1 1 1 1Sugar Cane 7 9 4 3 3 3 3Tea 2 2 2 1 1 1 1Fruit 9 10 4 1 1 1 1The above data in Table 1 also appear in [1]. In Table1, numbers in the first row denote years and others denoterankings. Unfortunately, Table 1 is an incomplete Data table,which does not give the ranking for output of Chinese cottonlint in the world for 2008. Thus, the following question arisenaturally.
摘要:联合国粮农组织数据库发布了1978年、1980年、1990年、2000年、2006年、2007年和2008年中国主要农产品产量世界排名。遗憾的是，2008年中国棉绒产量在世界上的排名被遗漏了。本文使用带有决策规则的顺序数据挖掘方法来填补这一空白。这种新的数据挖掘方法将有助于进一步改进联合国粮农组织数据库。关键词:排名，主要农产品产量，国内生产总值，决策表，信息系统;最近，联合国粮农组织公布了中国主要农产品产量在世界上的排名，即给出了如下数据表([10])，其中u 1、u 2、u 3、u 4、u 5、u 6、u 7分别代表1978年、1980年、1990年、2000年、2006年、2007年、2008年。T能我:我NCOMPLETE D ATA T u 1 u 2项3 u 4 u 5 6 7谷物2 1 1 1 1 1 1肉3 3 1 1 1 1 1皮棉3 2 1 1 1 1大豆3 3 3 4 4 4 4花生壳2 2 2 1 1 1 1甘蔗7 9 4 3 3 3 3茶2 2 2 1 1 1 1水果9 10 4 1 1 1 1上面的数据表1中还出现在[1]。在表1中，第一行的数字表示年份，其他表示排名。不幸的是，表1是一个不完整的数据表，它没有给出2008年中国棉花产量在世界上的排名。因此，下面的问题自然产生了。
{"title":"An Application of the Data Mining Methods with Decision Rule","authors":"Xun Ge, J. Gong","doi":"10.5281/ZENODO.1088350","DOIUrl":"https://doi.org/10.5281/ZENODO.1088350","url":null,"abstract":"Abstract —Rankings for output of Chinese main agricultural com-modity in the world for 1978, 1980, 1990, 2000, 2006, 2007 and 2008have been released in United Nations FAO Database. Unfortunately,where the ranking of output of Chinese cotton lint in the world for2008 was missed. This paper uses sequential data mining methodswith decision rules filling this gap. This new data mining methodwill be help to give a further improvement for United Nations FAODatabase. Keywords —Ranking, output of the main agricultural commodity,gross domestic product, decision table, information system; datamining, decision rule I. I NTRODUCTION Recently, Food and Agriculture Organization of the UnitedNations has released rankings for output of Chinese mainagricultural commodity in the world, i.e., the following datatable was given ([10]), where u 1 ,u 2 ,u 3 ,u 4 ,u 5 ,u 6 ,u 7 denote1978,1980,1990,2000,2006,2007,2008.T ABLE I:I NCOMPLETE D ATA T ABLE Item u 1 u 2 u 3 u 4 u 5 u 6 u 7 Cereals 2 1 1 1 1 1 1Meat 3 3 1 1 1 1 1Cotton Lint 3 2 1 1 1 1Soybeans 3 3 3 4 4 4 4Groundnuts in Shell 2 2 2 1 1 1 1Sugar Cane 7 9 4 3 3 3 3Tea 2 2 2 1 1 1 1Fruit 9 10 4 1 1 1 1The above data in Table 1 also appear in [1]. In Table1, numbers in the first row denote years and others denoterankings. Unfortunately, Table 1 is an incomplete Data table,which does not give the ranking for output of Chinese cottonlint in the world for 2008. Thus, the following question arisenaturally.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"24 1","pages":"928-931"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79159207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, by constructing a special non-empty closed convex set and utilizing M¨onch fixed point theory, we investigate the existence of solution for a class of fourth-order singular differential equation in Banach space, which improved and generalized the result of related paper.
{"title":"Positive Solutions For Boundary Value Problems Of Fourth-Order Nonlinear Singular Differential Equations In Banach Space","authors":"Xi-Guo Li","doi":"10.5281/ZENODO.1335764","DOIUrl":"https://doi.org/10.5281/ZENODO.1335764","url":null,"abstract":"In this paper, by constructing a special non-empty closed convex set and utilizing M¨onch fixed point theory, we investigate the existence of solution for a class of fourth-order singular differential equation in Banach space, which improved and generalized the result of related paper.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"2 1","pages":"762-766"},"PeriodicalIF":0.0,"publicationDate":"2013-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77817985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A method for simulating flow around the solid bodies has been presented using hybrid meshfree and mesh-based schemes. The presented scheme optimizes the computational efficiency by combining the advantages of both meshfree and mesh-based methods. In this approach, a cloud of meshfree nodes has been used in the domain around the solid body. These meshfree nodes have the ability to efficiently adapt to complex geometrical shapes. In the rest of the domain, conventional Cartesian grid has been used beyond the meshfree cloud. Complex geometrical shapes can therefore be dealt efficiently by using meshfree nodal cloud and computational efficiency is maintained through the use of conventional mesh-based scheme on Cartesian grid in the larger part of the domain. Spatial discretization of meshfree nodes has been achieved through local radial basis functions in finite difference mode (RBF-FD). Conventional finite difference scheme has been used in the Cartesian ‘meshed’ domain. Accuracy tests of the hybrid scheme have been conducted to establish the order of accuracy. Numerical tests have been performed by simulating two dimensional steady and unsteady incompressible flows around cylindrical object. Steady flow cases have been run at Reynolds numbers of 10, 20 and 40 and unsteady flow problems have been studied at Reynolds numbers of 100 and 200. Flow Parameters including lift, drag, vortex shedding, and vorticity contours are calculated. Numerical results have been found to be in good agreement with computational and experimental results available in the literature.
{"title":"A Hybrid Mesh Free Local RBF- Cartesian FD Scheme for Incompressible Flow around Solid Bodies","authors":"A. Javed, K. Djidjeli, J. Xing, S. Cox","doi":"10.5281/ZENODO.1088114","DOIUrl":"https://doi.org/10.5281/ZENODO.1088114","url":null,"abstract":"A method for simulating flow around the solid bodies has been presented using hybrid meshfree and mesh-based schemes. The presented scheme optimizes the computational efficiency by combining the advantages of both meshfree and mesh-based methods. In this approach, a cloud of meshfree nodes has been used in the domain around the solid body. These meshfree nodes have the ability to efficiently adapt to complex geometrical shapes. In the rest of the domain, conventional Cartesian grid has been used beyond the meshfree cloud. Complex geometrical shapes can therefore be dealt efficiently by using meshfree nodal cloud and computational efficiency is maintained through the use of conventional mesh-based scheme on Cartesian grid in the larger part of the domain. Spatial discretization of meshfree nodes has been achieved through local radial basis functions in finite difference mode (RBF-FD). Conventional finite difference scheme has been used in the Cartesian ‘meshed’ domain. Accuracy tests of the hybrid scheme have been conducted to establish the order of accuracy. Numerical tests have been performed by simulating two dimensional steady and unsteady incompressible flows around cylindrical object. Steady flow cases have been run at Reynolds numbers of 10, 20 and 40 and unsteady flow problems have been studied at Reynolds numbers of 100 and 200. Flow Parameters including lift, drag, vortex shedding, and vorticity contours are calculated. Numerical results have been found to be in good agreement with computational and experimental results available in the literature.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"8 1","pages":"1494-1503"},"PeriodicalIF":0.0,"publicationDate":"2013-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72736684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the (G'/G)-expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic solutions, trigonometric solutions and rational solutions.
{"title":"Traveling Wave Solutions for Shallow Water Wave Equation by (G'/G)-Expansion Method","authors":"Anjali Verma, Ram Jiwari, Jitender Kumar","doi":"10.5281/ZENODO.1087846","DOIUrl":"https://doi.org/10.5281/ZENODO.1087846","url":null,"abstract":"This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the (G'/G)-expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic solutions, trigonometric solutions and rational solutions.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"2 1","pages":"817-821"},"PeriodicalIF":0.0,"publicationDate":"2013-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79880222","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Three-dimensional reconstruction of small objects has been one of the most challenging problems over the last decade. Computer graphics researchers and photography professionals have been working on improving 3D reconstruction algorithms to fit the high demands of various real life applications. Medical sciences, animation industry, virtual reality, pattern recognition, tourism industry, and reverse engineering are common fields where 3D reconstruction of objects plays a vital role. Both lack of accuracy and high computational cost are the major challenges facing successful 3D reconstruction. Fringe projection has emerged as a promising 3D reconstruction direction that combines low computational cost to both high precision and high resolution. It employs digital projection, structured light systems and phase analysis on fringed pictures. Research studies have shown that the system has acceptable performance, and moreover it is insensitive to ambient light. This paper presents an overview of fringe projection approaches. It also presents an experimental study and implementation of a simple fringe projection system. We tested our system using two objects with different materials and levels of details. Experimental results have shown that, while our system is simple, it produces acceptable results.
{"title":"3-D Reconstruction of Objects Using Digital Fringe Projection: Survey and Experimental Study","authors":"R. Talebi, A. Abdel-Dayem, J. Johnson","doi":"10.5281/ZENODO.1061164","DOIUrl":"https://doi.org/10.5281/ZENODO.1061164","url":null,"abstract":"Three-dimensional reconstruction of small objects has\u0000been one of the most challenging problems over the last decade.\u0000Computer graphics researchers and photography professionals have\u0000been working on improving 3D reconstruction algorithms to fit the\u0000high demands of various real life applications. Medical sciences,\u0000animation industry, virtual reality, pattern recognition, tourism\u0000industry, and reverse engineering are common fields where 3D\u0000reconstruction of objects plays a vital role. Both lack of accuracy and\u0000high computational cost are the major challenges facing successful\u00003D reconstruction. Fringe projection has emerged as a promising 3D\u0000reconstruction direction that combines low computational cost to both\u0000high precision and high resolution. It employs digital projection,\u0000structured light systems and phase analysis on fringed pictures.\u0000Research studies have shown that the system has acceptable\u0000performance, and moreover it is insensitive to ambient light.\u0000This paper presents an overview of fringe projection approaches. It\u0000also presents an experimental study and implementation of a simple\u0000fringe projection system. We tested our system using two objects\u0000with different materials and levels of details. Experimental results\u0000have shown that, while our system is simple, it produces acceptable\u0000results.","PeriodicalId":23764,"journal":{"name":"World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering","volume":"32 1","pages":"1010-1019"},"PeriodicalIF":0.0,"publicationDate":"2013-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82409602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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