No / In this work we propose a talking head system for animating facial expressions using a template face generated from partial differential equations (PDE). It uses a set of pre configured curves to calculate an internal template surface face. This surface is then used to associate various facial features with a given 3D face object. Motion retargeting is then used to transfer the deformations in these areas from the template to the target object. The procedure is continued until all the expressions in the database are calculated and transferred to the target 3D human face object. Additionally the system interacts with the user using an artificial intelligence (AI) chatter bot to generate response from a given text. Speech and facial animation are synchronized using the Microsoft Speech API, where the response from the AI bot is converted to speech.

No / In this work we propose a modelling technique for producing cyclic motions of human body. The surface of the human body has been created from a set of pre-configured curves that were used as the set of boundary conditions to solve a number of partial differential equations (PDE). These boundary curves are attached to a skeletal system that holds the animation for cyclic motions. An important function of the method described here is the use of mathematical expressions within Maya software for generating the cyclic motion leading to a very realistic movement. Thus, the user can interactively manipulate the position and movement of various body parts to achieve various cyclic motions. Finally the animation can be transferred to either the original mesh model from where the boundary curves associated with the PDE surface were extracted or to another mesh model with equivalent topology.

No

No

yes / The spine of an object is an entity that can characterise the object¿s topology and describes the object by a lower dimension. It has an intuitive appeal for supporting geometric modelling operations. The aim of this paper is to show how a spine for a PDE surface can be generated. For the purpose of the work presented here an analytic solution form for the chosen PDE is utilised. It is shown that the spine of the PDE surface is then computed as a by-product of this analytic solution. This paper also discusses how the of a PDE surface can be used to manipulate the shape. The solution technique adopted here caters for periodic surfaces with general boundary conditions allowing the possibility of the spine based shape manipulation for a wide variety of free-form PDE surface shapes.

No

This dissertation studies hyperbolic partial differential equations for Conservation Laws motivated by traffic control problems. New traffic models for multi-directional flow in two dimensions are derived and their properties studied. Control models are proposed where the control variable is a multiplicative term in the flux function. Control models are also proposed for relaxation type systems of hyperbolic PDEs. Existence of optimal control for the case of constant controls is presented. Unbounded and bounded feedback control designs are proposed. These include advective, diffusive, and advective-diffusive controls. Existence result for the bounded advective control is derived. Performance of the relaxation model using bounded advective control is analyzed. Finally simulations using Godunov scheme are performed on unbounded and bounded feedback advective controls. / Ph. D.

In this thesis, we study a numerical tool named multi-mesh method within the framework of the adaptive finite element method. The aim of this method is to minimize the size of the linear system to get the optimal performance of simulations. Multi-mesh methods are typically used in multi-physics problems, where more than one component is involved in the system. During the discretization of the weak formulation of partial differential equations, a finite-dimensional space associated with an independently refined mesh is assigned to each component respectively. The usage of independently refined meshes leads less degrees of freedom from a global point of view. To our best knowledge, the first multi-mesh method was presented at the beginning of the 21st Century. Similar techniques were announced by different mathematics researchers afterwards. But, due to some common restrictions, this method is not widely used in the field of numerical simulations. On one hand, only the case of two-mesh is taken into scientists\' consideration. But more than two components are common in multi-physics problems. Each is, in principle, allowed to be defined on an independent mesh. Besides that, the multi-mesh methods presented so far omit the possibility that coefficient function spaces live on the different meshes from the trial and test function spaces. As a ubiquitous numerical tool, the multi-mesh method should comprise the above circumstances. On the other hand, users are accustomed to improving the performance by taking the advantage of parallel resources rather than running simulations with the multi-mesh approach on one single processor, so it would be a pity if such an efficient method was only available in sequential. The multi-mesh method is actually used within local assembling process, which should not be conflict with parallelization. In this thesis, we present a general multi-mesh method without the limitation of the number of meshes used in the system, and it can be applied to parallel environments as well. Chapter 1 introduces the background knowledge of the adaptive finite element method and the pioneering work, on which this thesis is based. Then, the main idea of the multi-mesh method is formally derived and the detailed implementation is discussed in Chapter 2 and 3. In Chapter 4, applications, e.g. the multi-phase flow problem and the dendritic growth, are shown to prove that our method is superior in contrast to the standard single-mesh finite element method in terms of performance, while accuracy is not reduced.

Made available in DSpace on 2017-07-10T17:30:42Z (GMT). No. of bitstreams: 1 Ana_Claudia_Biz.pdf: 1725356 bytes, checksum: b5a330e44f1cfc8061875779fb1a4c92 (MD5) Previous issue date: 2015-06-03 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This dissertation presents significant aspects of the Educational Development Program (EDP/PDE) of Geography, which develops in the state of Paraná, from 2007, as continued training of basic education teachers. This program promotes rise in the teaching career plan in the Basic Education for public schools in Paraná. It has partnership with Higher Education Institutions (HEIs) through guidance of teachers of IES in Parana to the network teachers. In this dissertation the aim was to cover the PDE from the perspective of training of geography teachers, of regional education centers (NRE) of Francisco Beltrao and Dois Vizinhos. The initiative to research the PDE emerged to continue, from scientific research and training projects developed in RETLEE Research Group (Representation, Space, Time and Languages in Education Experiences). The subjects were 47 Geography teachers from the state network participants of the PDE between 2007 and 2012 and 55 teachers from various areas of knowledge who participated in the EDP in 2014. The EDP coordinator at UNIOESTE and two PDE coordinators in the NREs surveyed were also subjects of the research. As data collection instruments were used questionnaires with teachers and course completion articles developed by 47 Geography teachers who participated in the PDE during this period. UNIOESTE was the institution responsible for guiding and offering courses for these teachers enrolled in the program. It was found that the surveys have direct link with the existing problems in everyday teaching. The program is valued by teachers and coordinators of the program in the IES, as it favors the return to university and research. Another aspect is that, rarely, the PDE teacher can maintain this practice, given the working conditions in schools. / Esta dissertação apresenta aspectos significativos sobre o Programa de Desenvolvimento Educacional (PDE) de Geografia, que se desenvolve no estado do Paraná, a partir do ano de 2007, como formação continuada dos professores da Educação Básica. Este Programa promove ascensão no plano de carreira docente da rede pública de ensino da Educação Básica paranaense. Tem parceria com Instituições de Ensino Superior (IES), por meio de orientação de professores das IES do Paraná aos professores da rede. Nesta dissertação o objetivo foi abranger o PDE na perspectiva de formação dos professores de Geografia, dos núcleos regionais de educação (NRE) de Francisco Beltrão e de Dois Vizinhos. A iniciativa de pesquisar o PDE surgiu para dar continuidade, a partir de projetos de iniciação científica e de formação desenvolvidos no Grupo de Pesquisa RETLEE (Representação, Espaço, Tempo e Linguagens em Experiências Educativas). Os sujeitos foram 47 professores de Geografia da rede estadual de ensino participantes do PDE, entre 2007 e 2012 e 55 professores das diversas áreas do conhecimento que participaram do PDE em 2014. Também foram sujeitos o coordenador do PDE na UNIOESTE e duas coordenadoras do PDE nos NREs pesquisados. Serviram de instrumentos de coleta de dados os questionários com os professores e os artigos de conclusão de curso desenvolvidos por 47 professores de Geografia que participaram do PDE neste período. A UNIOESTE foi a instituição responsável pela orientação e oferta de disciplinas para estes professores inscritos no Programa. Verificou-se que as pesquisas possuem vínculo direto com as problemáticas existentes no cotidiano docente. O Programa é valorizado por professores e coordenadores do Programa nas IES, pois oportuniza o retorno à universidade e à pesquisa. Outro aspecto é de que, raramente, o professor PDE consegue manter esta prática, dada às condições de trabalho nas escolas.

Made available in DSpace on 2017-05-12T14:42:13Z (GMT). No. of bitstreams: 1 Ana_Claudia_Biz.pdf: 1725356 bytes, checksum: b5a330e44f1cfc8061875779fb1a4c92 (MD5) Previous issue date: 2015-06-03 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / This dissertation presents significant aspects of the Educational Development Program (EDP/PDE) of Geography, which develops in the state of Paraná, from 2007, as continued training of basic education teachers. This program promotes rise in the teaching career plan in the Basic Education for public schools in Paraná. It has partnership with Higher Education Institutions (HEIs) through guidance of teachers of IES in Parana to the network teachers. In this dissertation the aim was to cover the PDE from the perspective of training of geography teachers, of regional education centers (NRE) of Francisco Beltrao and Dois Vizinhos. The initiative to research the PDE emerged to continue, from scientific research and training projects developed in RETLEE Research Group (Representation, Space, Time and Languages in Education Experiences). The subjects were 47 Geography teachers from the state network participants of the PDE between 2007 and 2012 and 55 teachers from various areas of knowledge who participated in the EDP in 2014. The EDP coordinator at UNIOESTE and two PDE coordinators in the NREs surveyed were also subjects of the research. As data collection instruments were used questionnaires with teachers and course completion articles developed by 47 Geography teachers who participated in the PDE during this period. UNIOESTE was the institution responsible for guiding and offering courses for these teachers enrolled in the program. It was found that the surveys have direct link with the existing problems in everyday teaching. The program is valued by teachers and coordinators of the program in the IES, as it favors the return to university and research. Another aspect is that, rarely, the PDE teacher can maintain this practice, given the working conditions in schools. / Esta dissertação apresenta aspectos significativos sobre o Programa de Desenvolvimento Educacional (PDE) de Geografia, que se desenvolve no estado do Paraná, a partir do ano de 2007, como formação continuada dos professores da Educação Básica. Este Programa promove ascensão no plano de carreira docente da rede pública de ensino da Educação Básica paranaense. Tem parceria com Instituições de Ensino Superior (IES), por meio de orientação de professores das IES do Paraná aos professores da rede. Nesta dissertação o objetivo foi abranger o PDE na perspectiva de formação dos professores de Geografia, dos núcleos regionais de educação (NRE) de Francisco Beltrão e de Dois Vizinhos. A iniciativa de pesquisar o PDE surgiu para dar continuidade, a partir de projetos de iniciação científica e de formação desenvolvidos no Grupo de Pesquisa RETLEE (Representação, Espaço, Tempo e Linguagens em Experiências Educativas). Os sujeitos foram 47 professores de Geografia da rede estadual de ensino participantes do PDE, entre 2007 e 2012 e 55 professores das diversas áreas do conhecimento que participaram do PDE em 2014. Também foram sujeitos o coordenador do PDE na UNIOESTE e duas coordenadoras do PDE nos NREs pesquisados. Serviram de instrumentos de coleta de dados os questionários com os professores e os artigos de conclusão de curso desenvolvidos por 47 professores de Geografia que participaram do PDE neste período. A UNIOESTE foi a instituição responsável pela orientação e oferta de disciplinas para estes professores inscritos no Programa. Verificou-se que as pesquisas possuem vínculo direto com as problemáticas existentes no cotidiano docente. O Programa é valorizado por professores e coordenadores do Programa nas IES, pois oportuniza o retorno à universidade e à pesquisa. Outro aspecto é de que, raramente, o professor PDE consegue manter esta prática, dada às condições de trabalho nas escolas.