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| 1 | Joint head pose and facial landmark regression from depth images显示文摘This paper presents a joint head pose and facial landmark regression method with input from depth images for realtime application. Our main contributions are: firstly, a joint optimization method to estimate head pose and facial landmarks, i.e., the pose regression result provides supervised initialization for cascaded facial landmark regression, while the regression result for the facial landmarks can also help to further refine the head pose at each stage. Secondly,we classify the head pose space into 9 sub-spaces, and then use a cascaded random forest with a global shape constraint for training facial landmarks in each specific space. This classification-guided method can effectively handle the problem of large pose changes and occlusion.Lastly, we have built a 3D face database containing 73 subjects, each with 14 expressions in various head poses. Experiments on challenging databases show our method achieves state-of-the-art performance on both head pose estimation and facial landmark regression. | Jie Wang Juyong Zhang Changwei Luo Falai Chen | 2017 | Computational Visual Media2017，3，3： | 2 |
| 2 | Discontinuous Galerkin Methods for Isogeometric Analysis for Elliptic Equations on Surfaces显示文摘We propose a method that combines isogeometric analysis(IGA)with the discontinuous Galerkin(DG)method for solving elliptic equations on 3-dimensional(3D)surfaces consisting of multiple patches.DG ideology is adopted across the patch interfaces to glue the multiple patches,while the traditional IGA,which is very suitable for solving partial differential equations(PDEs)on(3D)surfaces,is employed within each patch.Our method takes advantage of both IGA and the DG method.Firstly,the time-consuming steps in mesh generation process in traditional finite element analysis(FEA)are no longer necessary and refinements,including h-refinement and p-refinement which both maintain the original geometry,can be easily performed by knot insertion and order-elevation(Farin,in Curves and surfaces for CAGD,2002).Secondly,our method can easily handle the cases with non-conforming patches and different degrees across the patches.Moreover,due to the geometric flexibility of IGA basis functions,especially the use of multiple patches,we can get more accurate modeling of more complex surfaces.Thus,the geometrical error is significantly reduced and it is,in particular,eliminated for all conic sections.Finally,this method can be easily formulated and implemented.We generally describe the problem and then present our primal formulation.A new ideology,which directly makes use of the approximation property of the NURBS basis functions on the parametric domain rather than that of the IGA functions on the physical domain(the former is easier to get),is adopted when we perform the theoretical analysis including the boundedness and stability of the primal form,and the error analysis under both the DG norm and the L2 norm.The result of the error analysis shows that our scheme achieves the optimal convergence rate with respect to both the DG norm and the L2 norm.Numerical examples are presented to verify the theoretical result and gauge the good performance of our method. | Futao Zhang Yan Xu Falai Chen | 2014 | Communications in Mathematics and Statistics2014，2，3： | 2 |
| 3 | APPROXIMATE COMMON DIVISORS OF POLYNOMIALS AND DEGREE REDUCTION FOR RATIONAL CURVES显示文摘§1IntroductionForanarbitrarysetofpolynomials,generalytheywilnothaveanycommonfactor.Inpracticalproblems,however,itisenoughtofi... | SUN JIANZHONG,CHEN FALAI AND QU YONGMING | 1998 | Applied Mathematics(A Journal of Chinese Universities)1998，13，4： | 1 |
| 4 | On the convergence of polynomial approximation of rational functions显示文摘 | Wang Guojin Sederberg T W Chen Falai | 1997 | Journal of Approximation Theory1997，89，3： | 1 |
| 5 | Blending quadric surfaces with piecewise algebraic surfaces 显示文摘 | Chen Changsong Falai C Yu Y F | 2001 | Graphical Models2001，63，4： | 1 |
| 6 | Hematogones in Immune Thrombocytopenic Purpura:Diagnostic Implication显示文摘 | AkyayA Falay M ztiirkmen S | 2011 | The Turkish journal of pediatrics2011，53，2： | 1 |
| 7 | Degree reduction of interval Bézier curves显示文摘 | Chen Falai Lou Wenping | 2000 | Computer-Aided Design2000，32，10： | 1 |
| 8 | Best one-sided approximation of polynomials under L1 norm显示文摘 | Deng Jiansong Feng Yuyu Chen Falai | 2002 | Journal of Computational and Applied Mathematics2002，144，12： | 1 |
| 9 | A varia- tional model for norma1, computation of point clouds 显示文摘 | Wang Jun Yang Zhouwang Chen Falai | 2012 | The Visual Computer2012，28，2： | 1 |
| 10 | The mu-basis Of a rational parametric surface显示文摘 | Falai Chen David Cox Yang Liu | 2005 | Journal of Symbolic Computation2005，39，： | 1 |
| 11 | A survey on the local refinable splines显示文摘This paper provides a survey of local refinable splines,including hierarchical B-splines,T-splines,polynomial splines over T-meshes,etc.,with a view to applications in geometric modeling and iso-geometric analysis.We will identify the strengths and weaknesses of these methods and also offer suggestions for their using in geometric modeling and iso-geometric analysis. | LI Xin CHEN FaLai KANG HongMei DENG JianSong | 2016 | Science China Mathematics2016，59，4： | 1 |
| 12 | Reparameterization of a rational ruled sur- face by mu-basis显示文摘 | Falai Chen | 2003 | Computer Aided Geometric Design2003，20，： | 1 |
| 13 | Safety and efficacy of the AngioJet in patients with acute myocardial infarction: results from the Florence Appraisal Study of Rheolytic Thrombectomy (FAST)显示文摘 | Margheri M Falai M Vittori G | 2006 | J Invasive Cardiol2006，18，10： | 1 |
| 14 | Design intensive born globals: A multiple case study of marketing management 显示文摘 | ZEYNEP FALAY MARKKU SALIM? KI ANTTI AINAMO MIKA GABRIELSSON | 2007 | Journal of Marketing Management2007，23，： | 1 |
| 15 | Myocardial stunning associated with a myocardial bridge显示文摘 | Marchlonni N Chechi T Falai M | 2002 | Int J Cardiol2002，82，： | 1 |
| 16 | Myocardiol stunning associated with a myocardial bridge 显示文摘 | Marehionni N Chechi T Falai M | 2002 | Int J Cardiol2002，82，1： | 1 |
| 17 | Fitting unorganized point clouds with active implicit B-spline curves显示文摘 | Zhouwang Yang Jiansong Deng Falai Chen | 2005 | The Visual Computer (-)2005，，8： | 1 |
| 18 | Degree reduction of interval Bezier curves 显示文摘 | Chert Falai Lou We-aping | 2000 | Computer-Aided Design2000，32，10： | 1 |
| 19 | Design-intensive born globals:a multiple case study of marketingmanagement显示文摘 | FALAY Z SALIMAKI M AINANNO A | 2007 | Journal of Marketing2007，23，910： | 1 |
| 20 | Myocardial stunning associated with amyocardial bridge显示文摘 | Marchionni N Chechi T Falai M | | 0，，1： | 1 |
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