Princeton University Library Catalog
- Kyauk, Christine [Browse]
- Senior thesis
- Kevrekidis, Yannis G. [Browse]
- Princeton University. Department of Chemical and Biological Engineering [Browse]
- Class year:
- 59 pages
- Summary note:
- This work addresses fusion across data sets representing the same monotonic process.
A monotonic trajectory is strictly increasing or decreasing, which is advantageous for
creating a unique, one-to-one mapping of the system state and some independent variable.
In this instance, we observe the process against time to register images prior to
fusion. Due to heterogeneous methods for collection and observation, data integration
is of interest in order to improve reliability of information within overlapping regions
while filling in complementary gaps from each input so that a final product is of greater
use. The algorithm is carried out on artificially generated images for the sake of clearly
demonstrating the method. Data is subsequently modified with missing information
or distortions to emulate experimental situations. This framework incorporates a nonlinear
dimensionality reduction technique, diffusion maps, to uncover the underlying
trajectory across different data sets with respect to time and fills in information closest
to points of interest. Presented is a solution that works in lower dimensional space to
automatically temporally register images and integrate between data sets.