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Full-Text Articles in Mathematics
The Eagle Programming Language, Samuel G. Horlbeck Olsen
The Eagle Programming Language, Samuel G. Horlbeck Olsen
Mathematics, Statistics, and Computer Science Honors Projects
C remains the dominant systems programming language despite many new languages attempting to take its place. Modern languages generally value abstraction and safety over speed and direct control of hardware. They are therefore not well suited to the low-level tasks for which C was designed. This paper introduces a novel programming language, Eagle, which represents a fast, elegant alternative to C. It allows low-level programming while providing optional modern features like reference counting, closures, generators, and classes. In addition to specifying this language and reviewing the current alternatives, the paper describes the implementation of a working Eagle compiler. The language …
Surface Reconstruction Using Differential Invariant Signatures, Sophors Khut
Surface Reconstruction Using Differential Invariant Signatures, Sophors Khut
Mathematics, Statistics, and Computer Science Honors Projects
This thesis addresses the problem of reassembling a broken surface. Three di- mensional curve matching is used to determine shared edges of broken pieces. In practice, these pieces may have different orientation and position in space, so edges cannot be directly compared. Instead, a differential invariant signature is used to make the comparison. A similarity score between edge signatures determines if two pieces share an edge. The Procrustes algorithm is applied to find the translations and rotations that best fit shared edges. The method is implemented in Matlab, and tested on a broken spherical surface.