<p> The finite element displacement method with triangular plate elements, is used in the present research program to establish an analytical approach for the analysis of shells and folded plate structures. The Tocher, Rawtani and Cowper displacement functions are used in this analysis and the theoretical displections u, v and w are found to compare satisfactorily with the experimental results. </p> <p> Owing to the limited storage capacity of the computer, the method of tridigonalization is used, rather than the method of direct stiffness assembly. </p> <p> Special considerations for stiffness assembly are necessary; (a) all the elements meeting at a node lie in the same plane and (b) the nodal points lie on the fixed boundary. </p> <p> Experimental values obtained from experiments on an oblique, truncated, pyramid made of aluminum compared well with the theoretical results based on the same structure. </p> / Thesis / Master of Engineering (MEngr)

In appreciation of High-Performance Computing, modern scientific simulations are scaling into millions and even billions of grid points. As we enter the exa-scale, new strategies are required for visualization and analysis. While Image-Based Rendering (IBR) has emerged as a viable solution to the asymmetry between data size and its storage and required rendering power, it is limited in its 2D image portrayal of 3D spatial objects. This work describes a novel technique to capture, represent, and render depth information in the context of 3D IBR. We tested the value of displacement by displacement map, shading by normal, and image angle interval with our technique. We ran an online user study of 60 participants to evaluate the value of adding depth information back to Image-Based Rendering and found significant benefits. / Master of Science / In scientific research, data visualization is important for better understanding data. Modern experiments and simulations are expanding rapidly in scale, and there will come a day when rendering the entire 3D geometry becomes impossible resource-wise. Cinema was proposed as an image-Based solution to this problem, where the model was represented by an interpolated series of images. However, using flat images cannot fully express the 3D characteristics of a data. Therefore, in this work, we try to improve the depth portrayal of the images by protruding the pixels and applying shading. We show the results of a user study conducted with 60 participants on the effect of pixel protrusion, shading, and varying the number of images representing the object. Results show that this method would be useful for 3D scientific visualizations. The resulting object almost accurately resembles the 3D object.

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