Journal of Science and Innovative Development ISSN 2181-4317

A HISTOGRAM-BASED MODEL FOR OBJECT RECOGNITION IN BINARY IMAGES BASED ON THE EMPIRICAL DISTRIBUTION OF CONTOUR LENGTH

Miratoyev Zoxidjon Mirvaliyevich, Samandarov Ilxomjon Rasulovich August 28, 2026 DOI: 10.36522/2181-4317/9-4-2026-2

Abstract

<p>The&nbsp;accuracy&nbsp;of&nbsp;object&nbsp;recognition&nbsp;in&nbsp;binary&nbsp;images&nbsp;largely&nbsp;depends&nbsp;on&nbsp;the&nbsp;informativeness&nbsp;of&nbsp;the&nbsp;features&nbsp;used.&nbsp;In&nbsp;this&nbsp;study,&nbsp;object&nbsp;description&nbsp;is&nbsp;based&nbsp;not&nbsp;on&nbsp;a&nbsp;single&nbsp;contour-length&nbsp;value&nbsp;but&nbsp;on&nbsp;the&nbsp;distribution&nbsp;of&nbsp;contour&nbsp;lengths&nbsp;obtained&nbsp;from&nbsp;a&nbsp;set&nbsp;of&nbsp;images&nbsp;belonging&nbsp;to&nbsp;the&nbsp;same&nbsp;class.&nbsp;This&nbsp;representation&nbsp;preserves&nbsp;</p><p>&nbsp;the&nbsp;natural&nbsp;variability&nbsp;of&nbsp;object&nbsp;shapes&nbsp;within&nbsp;a&nbsp;class&nbsp;and&nbsp;exploits&nbsp;it&nbsp;during&nbsp;classification.&nbsp;The&nbsp;statistical&nbsp;model&nbsp;is&nbsp;constructed&nbsp;sequentially.&nbsp;First,&nbsp;the&nbsp;image&nbsp;is&nbsp;binarized&nbsp;and&nbsp;subjected&nbsp;to&nbsp;morphological&nbsp;processing.&nbsp;The&nbsp;largest&nbsp;external&nbsp;contour&nbsp;is&nbsp;then&nbsp;extracted,&nbsp;and&nbsp;its&nbsp;contour&nbsp;length&nbsp;is&nbsp;determined.&nbsp;The&nbsp;obtained&nbsp;contour-length&nbsp;</p><p>&nbsp;values&nbsp;form&nbsp;a&nbsp;sample&nbsp;used&nbsp;to&nbsp;estimate&nbsp;the&nbsp;empirical&nbsp;distribution&nbsp;and&nbsp;construct&nbsp;a&nbsp;histogram.&nbsp;Subsequently,&nbsp;the&nbsp;centers&nbsp;of&nbsp;the&nbsp;non-empty&nbsp;histogram&nbsp;bins&nbsp;are&nbsp;used&nbsp;as&nbsp;reference&nbsp;features,&nbsp;while&nbsp;their&nbsp;relative&nbsp;frequencies&nbsp;serve&nbsp;as&nbsp;weighting&nbsp;coefficients.&nbsp;Classification&nbsp;of&nbsp;a&nbsp;test&nbsp;image&nbsp;is&nbsp;performed&nbsp;using&nbsp;the&nbsp;nearest-neighbor&nbsp;method.&nbsp;</p><p>&nbsp;The&nbsp;proposed&nbsp;approach&nbsp;was&nbsp;evaluated&nbsp;on&nbsp;two&nbsp;experimental&nbsp;datasets&nbsp;containing&nbsp;3,600&nbsp;binary&nbsp;images&nbsp;of&nbsp;ten&nbsp;classes&nbsp;and&nbsp;10,800&nbsp;binary&nbsp;images,&nbsp;respectively.&nbsp;In&nbsp;all&nbsp;experiments,&nbsp;the&nbsp;statistical&nbsp;representation&nbsp;of&nbsp;contour&nbsp;lengths&nbsp;preserved&nbsp;class&nbsp;separability&nbsp;under&nbsp;object&nbsp;rotation.&nbsp;At&nbsp;the&nbsp;same&nbsp;time,&nbsp;the&nbsp;computational&nbsp;procedure&nbsp;</p><p>&nbsp;remained&nbsp;simple,&nbsp;and&nbsp;the&nbsp;classification&nbsp;results&nbsp;were&nbsp;stable.&nbsp;These&nbsp;characteristics&nbsp;indicate&nbsp;that&nbsp;the&nbsp;proposed&nbsp;method&nbsp;is&nbsp;promising&nbsp;for&nbsp;applications&nbsp;in&nbsp;computer&nbsp;vision,&nbsp;industrial&nbsp;inspection,&nbsp;technical&nbsp;diagnostics,&nbsp;and&nbsp;automated&nbsp;image&nbsp;analysis.</p>

Cite this article
Miratoyev Zoxidjon Mirvaliyevich, Samandarov Ilxomjon Rasulovich (2026). A HISTOGRAM-BASED MODEL FOR OBJECT RECOGNITION IN BINARY IMAGES BASED ON THE EMPIRICAL DISTRIBUTION OF CONTOUR LENGTH. Journal of Science and Innovative Development. https://doi.org/10.36522/2181-4317/9-4-2026-2