Year

2023

Season

Summer

Paper Type

Master's Thesis

College

College of Arts and Sciences

Degree Name

Master of Science in Mathematical Sciences (MS)

Department

Mathematics & Statistics

NACO controlled Corporate Body

University of North Florida. Department of Mathematics and Statistics

Committee Chairperson

Dr. Daniel Dreibelbis

Second Advisor

Dr. Jose Franco

Rights Statement

http://rightsstatements.org/vocab/InC/1.0/

Third Advisor

Dr. Mohammad Rahman

Abstract

The set of points on an embedded surface $M$ that are tangent to a set viewing direction $\mathbf{v}$ is called the contour generator of $M$. The projection of those points to an image plane is called a surface's apparent contour. Apparent contours hold certain properties that allow for reconstruction of the original surface using only the information of the apparent contour. In this paper, we explore the structure of the apparent contour through contact classes and singularity types. Additionally we examine the properties of apparent contours that allow for 3 dimensional reconstruction. Our goal is to extend the properties of apparent contours to include information about a surface's edges that are not inherently captured in the apparent contour, while preserving the ability for reconstruction.

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