Open AccessTwo-Step Method for Assessing Similarity of Random Sets
Author(s) -
Vesna Gotovac Đogaš,
Kateřina Helisová,
Bogdan Radović,
Jakub Staněk,
Markéta Zikmundová,
Kateřina Brejchová
Publication year - 2021
Publication title -
image analysis and stereology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.237
H-Index - 27
eISSN - 1854-5165
pISSN - 1580-3139
DOI - 10.5566/ias.2600
Subject(s) - similarity (geometry) , curvature , realisation , computer science , pattern recognition (psychology) , mathematics , random error , data mining , artificial intelligence , algorithm , image (mathematics) , statistics , geometry , physics , quantum mechanics
The paper concerns a new statistical method for assessing dissimilarity of two random sets based on one realisation of each of them. The method focuses on shapes of the components of the random sets, namely on the curvature of their boundaries together with the ratios of their perimeters and areas. Theoretical background is introduced and then, the method is described, justified by a simulation study and applied to real data of two different types of tissue - mammary cancer and mastopathy.