Approximation of Discs by Octagons on Pixel-Plane via Jaccards Proximity Criterion: Theoretical Approach and Experimental Results Analysis
In the present paper we study approximation of discs by octagons on the pixel plane. To decide which octagon approximates better the given disc we use Jaccard's distance. The table of Jaccard's distances (calculated by a software created for these purposes) are presented at the end of the...
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creator | Dochviri, Irakli Gamkrelidze, Alexander Kurdiani, Revaz |
description | In the present paper we study approximation of discs by octagons on the pixel
plane. To decide which octagon approximates better the given disc we use
Jaccard's distance. The table of Jaccard's distances (calculated by a software
created for these purposes) are presented at the end of the paper. The results
for proximity are given in the form of a graph. Some properties of considered
octagons are also studied |
doi_str_mv | 10.48550/arxiv.2211.02835 |
format | Article |
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plane. To decide which octagon approximates better the given disc we use
Jaccard's distance. The table of Jaccard's distances (calculated by a software
created for these purposes) are presented at the end of the paper. The results
for proximity are given in the form of a graph. Some properties of considered
octagons are also studied</description><identifier>DOI: 10.48550/arxiv.2211.02835</identifier><language>eng</language><subject>Computer Science - Computational Geometry</subject><creationdate>2022-11</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2211.02835$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2211.02835$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dochviri, Irakli</creatorcontrib><creatorcontrib>Gamkrelidze, Alexander</creatorcontrib><creatorcontrib>Kurdiani, Revaz</creatorcontrib><title>Approximation of Discs by Octagons on Pixel-Plane via Jaccards Proximity Criterion: Theoretical Approach and Experimental Results Analysis</title><description>In the present paper we study approximation of discs by octagons on the pixel
plane. To decide which octagon approximates better the given disc we use
Jaccard's distance. The table of Jaccard's distances (calculated by a software
created for these purposes) are presented at the end of the paper. The results
for proximity are given in the form of a graph. Some properties of considered
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plane. To decide which octagon approximates better the given disc we use
Jaccard's distance. The table of Jaccard's distances (calculated by a software
created for these purposes) are presented at the end of the paper. The results
for proximity are given in the form of a graph. Some properties of considered
octagons are also studied</abstract><doi>10.48550/arxiv.2211.02835</doi><oa>free_for_read</oa></addata></record> |
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title | Approximation of Discs by Octagons on Pixel-Plane via Jaccards Proximity Criterion: Theoretical Approach and Experimental Results Analysis |
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