High precision swept volume approximation with conservative error bounds

In technical design processes in the automotive industry, digital prototypes rapidly gain importance, because they allow for a detection of design errors in early development stages. The technical design process includes the computation of swept volumes for maintainability analysis and clearance checks. The swept volume is very useful, for example, to identify problem areas where a safety distance might not be kept. With the explicit construction of the swept volume an engineer gets evidence on how the shape of components that come too close have to be modified.rnIn this thesis a concept for the approximation of the outer boundary of a swept volume is developed. For safety reasons, it is essential that the approximation is conservative, i.e., that the swept volume is completely enclosed by the approximation. On the other hand, one wishes to approximate the swept volume as precisely as possible. In this work, we will show, that the one-sided Hausdorff distance is the adequate measure for the error of the approximation, when the intended usage is clearance checks, continuous collision detection and maintainability analysis in CAD. We present two implementations that apply the concept and generate a manifold triangle mesh that approximates the outer boundary of a swept volume. Both algorithms are two-phased: a sweeping phase which generates a conservative voxelization of the swept volume, and the actual mesh generation which is based on restricted Delaunay refinement. This approach ensures a high precision of the approximation while respecting conservativeness.rnThe benchmarks for our test are amongst others real world scenarios that come from the automotive industry.rnFurther, we introduce a method to relate parts of an already computed swept volume boundary to those triangles of the generator, that come closest during the sweep. We use this to verify as well as to colorize meshes resulting from our implementations.

The performativity of nonviolent protest in South Asia (1918 - 1948)

This study seeks to address a gap in the study of nonviolent action. The gap relates to the question of how nonviolence is performed, as opposed to the meaning or impact of nonviolent politics. The dissertation approaches the history of nonviolent protest in South Asia through the lens of performance studies. Such a shift allows for concepts such as performativity and theatricality to be tested in terms of their applicability and relevance to contemporary political and philosophical questions. It also allows for a different perspective on the historiography of nonviolent protest. Using concepts, modes of analysis and tropes of thinking from the emerging field of performance studies, the dissertation analyses two different cases of nonviolent protest, asking how politics is performatively constituted. The first two sections of this study set out the parameters of the key terms of the dissertation: nonviolence and performativity, by tracing their genealogies and legacies as terms. These histories are then located as an intersection in the founding of the nonviolent. The case studies at the analytical core of the dissertation are: fasting as a method in Gandhi's political arsenal, and the army of nonviolent soldiers in the North-West Frontier Province, known as the Khudai Khidmatgar. The study begins with an overview of current theorisations of nonviolence. The approach to the subject is through an investigation of commonly held misconceptions about nonviolent action, such as its supposed passivity, the absence of violence, its ineffectiveness and its spiritual basis. This section addresses the lacunae within existing theories of nonviolence and points to possible fertile spaces for further exploration. Section 3 offers an overview of the different shades of the concept of performativity, asking how it is used in various contexts and how these different nuances can be viewed in relation to each other. The dissertation explores how a theory of performativity may be correlated to the theorisation of nonviolence. The correlations are established in four boundary areas: action/inaction, violence/absence of violence, the actor/opponent and the body/spirit. These boundary areas allow for a theorising of nonviolent action as a performative process. The first case study is Gandhi's use of the fast as a method of nonviolent protest. Using a close reading of his own writings, speeches and letters, as well as a reading of responses to his fast in British newspapers and within India, the dissertation asks what made fasting into Gandhi's most favoured mode of protest and political action. The study reconstructs his unique praxis of the fast from a performative perspective, demonstrating how display and ostentation are vital to the political economy of the fast. It also unveils the cultural context and historical reservoir of body practices, which Gandhi drew from and adapted into 'weapons' of political action. The relationship of Gandhian nonviolence to the body forms a crucial part of the analysis. The second case study is the nonviolent army of the Pashtuns, Khudai Khidmatgar (KK), literally Servants of God. This anti-imperialist movement in the North-West Frontier Province of what is today the border between Pakistan and Afghanistan existed between 1929 and 1948. The movement adopted the organisational form of an army. It conducted protest activities against colonial rule, as well as social reform activities for the Pashtuns. This group was connected to the Congress party of Gandhi, but the dissertation argues that their conceptualisation and praxis of nonviolence emerged from a very different tradition and worldview. Following a brief introduction to the socio-political background of this Pashtun movement, the dissertation explores the activities that this nonviolent army engaged in, looking at their unique understanding of the militancy of an unarmed force, and their mode of combat and confrontation. Of particular interest to the analysis is the way the KK re-combined and mixed what appear to be contradictory ideologies and acts. In doing so, they reframed cultural and historical stereotypes of the Pashtuns as a martial race, juxtaposing the institutional form of the army with a nonviolent praxis based on Islamic principles and social reform. The example of the Khudai Khidmatgar is used to explore the idea that nonviolence is not the opposite of violent conflict, but in fact a dialectical engagement and response to violence. Section 5, in conclusion, returns to the boundary areas of nonviolence: action, violence, the opponent and the body, and re-visits these areas on a comparative note, bringing together elements from Gandhi's fasts and the practices of the KK. The similarities and differences in the two examples are assessed and contextualised in relation to the guiding question of this study, namely the question of the performativity of nonviolent action.