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Computer Sciences

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University of Central Florida

Theses/Dissertations

1995

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Experimenting With The Finite Element Method In The Calculation Of Radiosity Form Factors, Donna Marie Chesteen Jan 1995

Experimenting With The Finite Element Method In The Calculation Of Radiosity Form Factors, Donna Marie Chesteen

Retrospective Theses and Dissertations

Radiosity has been used to create some of the most photorealistic computer-generated images to date. The problem, however, is that radiosity algorithms are so computationally and memory expensive that few applications can employ them successfully. Form factor calculation is the most costly part of the process. This report describes an algorithm for using the finite element method to reduce the amount of time that is used in the form factor calculation portion of the radiosity algorithm. This technique for form factor calculation significantly reduces the number of projections done at each iteration by using shape functions to determine the distribution …


Shape Reconstruction From Shading Using Linear Approximation, Ping Sing Tsai Jan 1995

Shape Reconstruction From Shading Using Linear Approximation, Ping Sing Tsai

Retrospective Theses and Dissertations

Shape from shading (SFS) deals with the recovery of 3D shape from a single monocular image. This problem was formally introduced by Horn in the early 1970s. Since then it has received considerable attention, and several efforts have been made to improve the shape recovery. In this thesis, we present a fast SFS algorithm, which is a purely local method and is highly parallelizable. In our approach, we first use the discrete approximations for surface gradients, p and q, using finite differences, then linearize the reflectance function in depth, Z ( x , y), instead of p and q. This …