Graduation Year
2016
Document Type
Campus Only Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Christopher Towse
Reader 2
David Bachman
Terms of Use & License Information
Rights Information
© 2016 Indra E. Kumar
Abstract
The geometric properties of the complex numbers and the quaternions, particularly their behavior under fractional linear transformations, make them very useful for modeling certain types of geometric objects. In this thesis, we will connect the characteristics of fractional linear transformations of both the complex numbers and quaternions to the problem of developing and modifying discrete surfaces for problems in computer graphics and engineering.
Recommended Citation
Kumar, Indra E., "Graphical Applications of Complex and Quaternionic Fractional Linear Transformations" (2016). Scripps Senior Theses. 888.
https://scholarship.claremont.edu/scripps_theses/888
This thesis is restricted to the Claremont Colleges current faculty, students, and staff.