The Duality of Similarity and Metric Spaces
We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and vice versa. We present a general solution for...
Main Authors: | Ondřej Rozinek, Jan Mareš |
---|---|
Format: | Article |
Language: | English |
Published: |
MDPI AG
2021-02-01
|
Series: | Applied Sciences |
Subjects: | |
Online Access: | https://www.mdpi.com/2076-3417/11/4/1910 |
Similar Items
-
The Effect of Metric Space on the Results of Graph Based Colour Image Segmentation
by: Martina Zachariasova, et al.
Published: (2012-09-01) -
Enhancing Fingerprint Localization Accuracy With Inverse Weight-Normalized Context Similarity Coefficient-Based Fingerprint Similarity Metric
by: Abdulmalik Shehu Yaro, et al.
Published: (2024-01-01) -
Mutation of DNA and RNA sequences through the application of topological spaces
by: A. A. El-Atik, et al.
Published: (2023-06-01) -
Proposed Image Similarity Metric with Multi Block Histogram used in Video Tracking
by: Alia K. Abdul Hassan, et al.
Published: (2016-04-01) -
Enhancing DBSCAN Clustering for Fingerprint-Based Localization With a Context Similarity Coefficient-Based Similarity Measure Metric
by: Abdulmalik Shehu Yaro, et al.
Published: (2024-01-01)