In this work we consider the problem of shape reconstruction from an unorganized data set which has many important applications in medical imaging, scientific computing, reverse engineering and geometric modelling. Th...In this work we consider the problem of shape reconstruction from an unorganized data set which has many important applications in medical imaging, scientific computing, reverse engineering and geometric modelling. The reconstructed surface is obtained by continuously deforming an initial surface following the Partial Differential Equation (PDE)-based diffusion model derived by a minimal volume-like variational formulation. The evolution is driven both by the distance from the data set and by the curvature analytically computed by it. The distance function is computed by implicit local interpolants defined in terms of radial basis functions. Space discretization of the PDE model is obtained by finite co-volume schemes and semi-implicit approach is used in time/scale. The use of a level set method for the numerical computation of the surface reconstruction allows us to handle complex geometry and even changing topology,without the need of user-interaction. Numerical examples demonstrate the ability of the proposed method to produce high quality reconstructions. Moreover, we show the effectiveness of the new approach to solve hole filling problems and Boolean operations between different data sets.展开更多
Image deconvolution problems with a symmetric point-spread function arisein many areas of science and engineering. These problems often are solved by theRichardson-Lucy method, a nonlinear iterative method. We first s...Image deconvolution problems with a symmetric point-spread function arisein many areas of science and engineering. These problems often are solved by theRichardson-Lucy method, a nonlinear iterative method. We first show a convergenceresult for the Richardson-Lucy method. The proof sheds light on why the method mayconverge slowly. Subsequently, we describe an iterative active set method that imposesthe same constraints on the computed solution as the Richardson-Lucy method. Computed examples show the latter method to yield better restorations than the RichardsonLucy method and typically require less computational effort.展开更多
Total variation regularization has good performance in noise removal and edge preservation but lacks in texture restoration.Here we present a texture-preserving strategy to restore images contaminated by blur and nois...Total variation regularization has good performance in noise removal and edge preservation but lacks in texture restoration.Here we present a texture-preserving strategy to restore images contaminated by blur and noise.According to a texture detection strategy,we apply spatially adaptive fractional order diffusion.A fast algorithm based on the half-quadratic technique is used to minimize the resulting objective function.Numerical results show the effectiveness of our strategy.展开更多
This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equat...This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equations.The unknown function and its gradient can be accurately reconstructed using high order optimal recovery based on radial basis functions.The methodology proposed is applied to the noise removal problem in functional surfaces and images.Numerical results demonstrate the effectiveness of the new numerical approach and provide experimental order of convergence.展开更多
Bus stops are key elements of public transport system performance and in attending the population.The general objective of this article is to evaluate the physical conditions of public bus stops in the city of Passo F...Bus stops are key elements of public transport system performance and in attending the population.The general objective of this article is to evaluate the physical conditions of public bus stops in the city of Passo Fundo/RS.Methodologically,statistical analysis of linear regression was used to elaborate the index of functionality of the bus stops,using the city of Passo Fundo/RS as a case study.Results report the conditions of urban public bus stops and discuss assessment and subsidy parameters for public policies for urban restructuring,aiming at improving the quality of public transport in medium-sized cities on a national and international scale.展开更多
Previous studies on deep modern benthic foraminifera in the Mediterranean Sea are not abundant and generally are focused at the fossilizing polythalamous component of the foraminiferal assemblages.We present prelimina...Previous studies on deep modern benthic foraminifera in the Mediterranean Sea are not abundant and generally are focused at the fossilizing polythalamous component of the foraminiferal assemblages.We present preliminary results of living(Rose Bengal stained)benthic foraminiferal faunas in bathyal and abyssal sediments.Benthic foraminiferal density, species composition and biomass are determined at 10 sites across a transect from the展开更多
基金supported by PRIN-MIUR-Cofin 2006,project,by"Progetti Strategici EF2006"University of Bologna,and by University of Bologna"Funds for selected research topics"
文摘In this work we consider the problem of shape reconstruction from an unorganized data set which has many important applications in medical imaging, scientific computing, reverse engineering and geometric modelling. The reconstructed surface is obtained by continuously deforming an initial surface following the Partial Differential Equation (PDE)-based diffusion model derived by a minimal volume-like variational formulation. The evolution is driven both by the distance from the data set and by the curvature analytically computed by it. The distance function is computed by implicit local interpolants defined in terms of radial basis functions. Space discretization of the PDE model is obtained by finite co-volume schemes and semi-implicit approach is used in time/scale. The use of a level set method for the numerical computation of the surface reconstruction allows us to handle complex geometry and even changing topology,without the need of user-interaction. Numerical examples demonstrate the ability of the proposed method to produce high quality reconstructions. Moreover, we show the effectiveness of the new approach to solve hole filling problems and Boolean operations between different data sets.
基金We would like to thank the referees for comments.This work was supported by PRIN-MIUR-Cofin 2008 project,GNCS-INDAM,an OBR Research Challenge Grant,and NSF grant DMS-1115385.
文摘Image deconvolution problems with a symmetric point-spread function arisein many areas of science and engineering. These problems often are solved by theRichardson-Lucy method, a nonlinear iterative method. We first show a convergenceresult for the Richardson-Lucy method. The proof sheds light on why the method mayconverge slowly. Subsequently, we describe an iterative active set method that imposesthe same constraints on the computed solution as the Richardson-Lucy method. Computed examples show the latter method to yield better restorations than the RichardsonLucy method and typically require less computational effort.
基金This work has been partially supported by MIUR-Prin 2008,ex60%project by University of Bologna"Funds for selected research topics"and by GNCS-INDAM.
文摘Total variation regularization has good performance in noise removal and edge preservation but lacks in texture restoration.Here we present a texture-preserving strategy to restore images contaminated by blur and noise.According to a texture detection strategy,we apply spatially adaptive fractional order diffusion.A fast algorithm based on the half-quadratic technique is used to minimize the resulting objective function.Numerical results show the effectiveness of our strategy.
基金supported by PRIN-MIUR-Cofin 2006by University of Bologna"Funds for selected research topics"
文摘This paper introduces the use of partition of unity method for the development of a high order finite volume discretization scheme on unstructured grids for solving diffusion models based on partial differential equations.The unknown function and its gradient can be accurately reconstructed using high order optimal recovery based on radial basis functions.The methodology proposed is applied to the noise removal problem in functional surfaces and images.Numerical results demonstrate the effectiveness of the new numerical approach and provide experimental order of convergence.
基金The authors would like to acknowledge Fundação Meridional(IMED)for enabling the financial means that made possible to develop this research.
文摘Bus stops are key elements of public transport system performance and in attending the population.The general objective of this article is to evaluate the physical conditions of public bus stops in the city of Passo Fundo/RS.Methodologically,statistical analysis of linear regression was used to elaborate the index of functionality of the bus stops,using the city of Passo Fundo/RS as a case study.Results report the conditions of urban public bus stops and discuss assessment and subsidy parameters for public policies for urban restructuring,aiming at improving the quality of public transport in medium-sized cities on a national and international scale.
文摘Previous studies on deep modern benthic foraminifera in the Mediterranean Sea are not abundant and generally are focused at the fossilizing polythalamous component of the foraminiferal assemblages.We present preliminary results of living(Rose Bengal stained)benthic foraminiferal faunas in bathyal and abyssal sediments.Benthic foraminiferal density, species composition and biomass are determined at 10 sites across a transect from the
