Search Results for author:
Found 7 papers, 2 papers with code
A Multi-parameter Persistence Framework for Mathematical Morphology
The field of mathematical morphology offers well-studied techniques for image processing.
On the Conditions of Absorption Property for Morphological Opening and Closing
This paper aims to establish the theoretical foundation for shift inclusion in mathematical morphology.
Discrete Mathematics Combinatorics
A Sheaf and Topology Approach to Generating Local Branch Numbers in Digital Images
This paper concerns a theoretical approach that combines topological data analysis (TDA) and sheaf theory.
Airflow recovery from thoracic and abdominal movements using Synchrosqueezing Transform and Locally Stationary Gaussian Process Regression
Airflow signal encodes rich information about respiratory system.
A persistent homology approach to heart rate variability analysis with an application to sleep-wake classification
The first step is capturing the shapes of time series from two different aspects -- {the PH's and hence persistence diagrams of its} sub-level set and Taken's lag map.
TopoResNet: A hybrid deep learning architecture and its application to skin lesion classification
We also combined those topological features, PS and PC, into ResNet-101 model, which we call {\em TopoResNet-101}, the results show that PS and PC are effective in two folds---improving classification performances and stabilizing the training process.
Persistence Curves: A canonical framework for summarizing persistence diagrams
First, we develop a general and unifying framework of vectorizing diagrams that we call the \textit{Persistence Curves} (PCs), and show that several well-known summaries, such as Persistence Landscapes, fall under the PC framework.
