[pt] Algoritmos para visualização interativa de terrenos são complexos e, ao mesmo tempo, de grande importância para muitas aplicações como jogos e planejamento de atividades sobre terrenos. Em função desta complexidade e importância, o tema merecido, na última década, muita atenção da comunidade de pesquisadores em Computação Gráfica e, conseqüentemente, muitas estratégias têm sido desenvolvidas. Entre as mais bem sucedidas estratégias, destacam-se os recentes trabalhos de Lindstrom e Pascucci. O algoritmo proposto por estes autores possui diversas implementações disponíveis na Internet e merece ser reavaliado. Esta dissertação faz esta re-avaliação através de uma implementação independente feita pela autora e testada sobre uma base de terrenos reais. Com o objetivo de tornar esta análise mais completa e dar suporte a algumas conclusões, resultados comparativos de outros algoritmos da área também são apresentados. / [en] Algorithms for the interactive visualization of terrains are very complex and, at the same time, of great importance to many applications, such as games and activity-planning over terrains. Due to such complexity and importance, in the past decade this subject has received great attention by researchers on Computer Graphics. As a consequence, a number of strategies have been developed. Among the most successful strategies, one can highlight recent works by Lindstrom and Pascucci. The algorithm proposed by these authors has various implementations available in the Internet and deserves to be reevaluated. The present work makes such reevaluation by means of an independent implementation developed by the author and tested over a base or real terrains. With the purpose of making this analysis more complete and to support some conclusions, comparative results with other algorithms in the area are also presented.

Необходимость в написании программы для расчета рассеянного поля телом вращения возникла в связи с неоднозначностью решения рассеянного поля таких объектов средствами электродинамического моделирования FEKO и Ansoft HFSS. В частности, в HFSS при повороте объекта (конуса) и соответствующем изменении характеристик падающей волны (направления распространения и поляризации) количество сегментов могло меняться более, чем на порядок. Отметим, что в качестве подхода к решению использовался метод физической оптики. Трудности расчета в FEKO вызваны по большей части ресурсами компьютера, а также сложностью последующей трактовки и математической обработки полученных результатов. Программа, описываемая в работе, позволит подойти к решению рассеянного на теле вращения поля более индивидуально и избежать таких неоднозначностей, что могут встречаться при расчетах в пакетах электродинамического моделирования. По результатам рассмотрения ряда задач сделан выбор в пользу метода физической оптики и его численной реализации на базе алгоритмов MATLAB. / The solution of diffraction from perfectly conducting convex solids of revolution is considered. The main aim is obtainment of an optimal approach for diffraction solution from large-scale solids. The implementation of a numerical solution of diffraction with physical optics method using MATLAB is considered. The realized program allows description of the solid of revolution with the analytic form equation of the curve. The possibility of curve description with a few functions defined on disjoint intervals is taken into consideration. The surface meshing with the required value is assured. The measure method of scattering characteristics is touched upon. The experimental results of the solid with three equations of curve are presented. The results of MATLAB modeling are compared with the experimental ones. The upgradability of mathematical modeling algorithms is proposed.

One of the common research goals in disciplines such as computer graphics and robotics is to understand the subtleties of human motion and develop tools for recreating natural and meaningful motion. Physical simulation of virtual human characters is a promising approach since it provides a testbed for developing and testing control strategies required to execute various human behaviors. Designing generic control algorithms for simulating a wide range of human activities, which can robustly adapt to varying physical environments, has remained a primary challenge. This dissertation introduces methods for generic and robust control of virtual characters in an interactive physical environment. Our approach is to use the information of the physical contacts between the character and her environment in the control design. We leverage high-level knowledge of the kinematics goals and the interaction with the surroundings to develop active control strategies that robustly adapt to variations in the physical scene. For synthesizing intentional motion requiring long-term planning, we exploit properties of the physical model for creating efficient and robust controllers in an interactive framework. The control design leverages the reference motion capture data and the contact information with the environment for interactive long-term planning. Finally, we propose a compact soft contact model for handling contacts for rigid body virtual characters. This model aims at improving the robustness of existing control methods without adding any complexity to the control design and opens up possibilities for new control algorithms to synthesize agile human motion.

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