Bezier curves interpolation with end point constraints on road map
This paper presents a path or curve generated based on Bezier curve. Derivation of smooth curve is one important subject for good visualization. Bezier curve is a smooth parametric curve but it is not a simple problem to properly assign its control points to determine the shape of the Bezier curve....
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creator | Zakaria, Wan Zafira Ezza Wan Ramli, Ahmad Ali, Jamaludin Md |
description | This paper presents a path or curve generated based on Bezier curve. Derivation of smooth curve is one important subject for good visualization. Bezier curve is a smooth parametric curve but it is not a simple problem to properly assign its control points to determine the shape of the Bezier curve. Therefore, the Bezier curve of n-th order is derived with the end point constraints, which are location and velocity. Results and visualization comparisons between interpolation of Cubic and Quartic Bezier curve are shown and discussed in this paper. Application on reconstructing a curve from a road map is shown. |
doi_str_mv | 10.1063/1.5136492 |
format | Conference Proceeding |
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Derivation of smooth curve is one important subject for good visualization. Bezier curve is a smooth parametric curve but it is not a simple problem to properly assign its control points to determine the shape of the Bezier curve. Therefore, the Bezier curve of n-th order is derived with the end point constraints, which are location and velocity. Results and visualization comparisons between interpolation of Cubic and Quartic Bezier curve are shown and discussed in this paper. Application on reconstructing a curve from a road map is shown.</description><identifier>ISSN: 0094-243X</identifier><identifier>EISSN: 1551-7616</identifier><identifier>DOI: 10.1063/1.5136492</identifier><identifier>CODEN: APCPCS</identifier><language>eng</language><publisher>Melville: American Institute of Physics</publisher><subject>Bezier patches ; Curves ; Interpolation ; Visualization</subject><ispartof>AIP conference proceedings, 2019, Vol.2184 (1)</ispartof><rights>Author(s)</rights><rights>2019 Author(s). 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Derivation of smooth curve is one important subject for good visualization. Bezier curve is a smooth parametric curve but it is not a simple problem to properly assign its control points to determine the shape of the Bezier curve. Therefore, the Bezier curve of n-th order is derived with the end point constraints, which are location and velocity. Results and visualization comparisons between interpolation of Cubic and Quartic Bezier curve are shown and discussed in this paper. Application on reconstructing a curve from a road map is shown.</description><subject>Bezier patches</subject><subject>Curves</subject><subject>Interpolation</subject><subject>Visualization</subject><issn>0094-243X</issn><issn>1551-7616</issn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2019</creationdate><recordtype>conference_proceeding</recordtype><recordid>eNp9kEtLAzEUhYMoOFYX_oOAO2Fq3jNZ2uILCm4U3IU0k2BKO4lJpqK_3qktuHN1L5zv3Ms5AFxiNMVI0Bs85ZgKJskRqDDnuG4EFsegQkiymjD6dgrOcl4hRGTTtBWYzey3twmaIW1thr4vNsWw1sWHHn768g5t38EYRgGa0OeS9LhmOKop6A5udDwHJ06vs704zAl4vb97mT_Wi-eHp_ntoo6E01JbZFpGDSGsWbKGGC1b0bTGadYiLhknglspuSVLgyUXhKHOOEOlw5JpZzidgKv93ZjCx2BzUaswpH58qQglWIox44663lPZ-PIbQ8XkNzp9qW1ICqtDPyp27j8YI7Ur9M9AfwCqDGbO</recordid><startdate>20191204</startdate><enddate>20191204</enddate><creator>Zakaria, Wan Zafira Ezza Wan</creator><creator>Ramli, Ahmad</creator><creator>Ali, Jamaludin Md</creator><general>American Institute of Physics</general><scope>8FD</scope><scope>H8D</scope><scope>L7M</scope></search><sort><creationdate>20191204</creationdate><title>Bezier curves interpolation with end point constraints on road map</title><author>Zakaria, Wan Zafira Ezza Wan ; Ramli, Ahmad ; Ali, Jamaludin Md</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p253t-e0c843c2247b472ca98678cfa4805945265e995e2bc1956240dcfc39f194afc53</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Bezier patches</topic><topic>Curves</topic><topic>Interpolation</topic><topic>Visualization</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zakaria, Wan Zafira Ezza Wan</creatorcontrib><creatorcontrib>Ramli, Ahmad</creatorcontrib><creatorcontrib>Ali, Jamaludin Md</creatorcontrib><collection>Technology Research Database</collection><collection>Aerospace Database</collection><collection>Advanced Technologies Database with Aerospace</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zakaria, Wan Zafira Ezza Wan</au><au>Ramli, Ahmad</au><au>Ali, Jamaludin Md</au><au>Ismail, Mohd Tahir</au><au>Rahman, Rosmanjawati Abdul</au><au>Yatim, Yazariah Mohd</au><au>Sulaiman, Hajar</au><au>Abdullah, Farah Aini</au><au>Ahmad, Syakila</au><au>Ali, Majid Khan Majahar</au><au>Ramli, Norshafira</au><au>Ahmad, Noor Atinah</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Bezier curves interpolation with end point constraints on road map</atitle><btitle>AIP conference proceedings</btitle><date>2019-12-04</date><risdate>2019</risdate><volume>2184</volume><issue>1</issue><issn>0094-243X</issn><eissn>1551-7616</eissn><coden>APCPCS</coden><abstract>This paper presents a path or curve generated based on Bezier curve. Derivation of smooth curve is one important subject for good visualization. Bezier curve is a smooth parametric curve but it is not a simple problem to properly assign its control points to determine the shape of the Bezier curve. Therefore, the Bezier curve of n-th order is derived with the end point constraints, which are location and velocity. Results and visualization comparisons between interpolation of Cubic and Quartic Bezier curve are shown and discussed in this paper. Application on reconstructing a curve from a road map is shown.</abstract><cop>Melville</cop><pub>American Institute of Physics</pub><doi>10.1063/1.5136492</doi><tpages>8</tpages></addata></record> |
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subjects | Bezier patches Curves Interpolation Visualization |
title | Bezier curves interpolation with end point constraints on road map |
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