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
First Advisor
Dr. Daniel Dreibelbis
Second Advisor
Dr. Jose Franco
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.
Suggested Citation
Jackman, Sarah Marie, "Apparent Contours for Piecewise Smooth Surfaces" (2023). UNF Graduate Theses and Dissertations. 1195.
https://digitalcommons.unf.edu/etd/1195