Finding best-fitted rectangle for regions using a bisection method

Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Chaudhuri, D. [verfasserIn] Kushwaha, N. K. Sharif, I. Samal, A.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2011

Schlagwörter:	Minimum bounding box Shape features Centroid Orientation Major axis Minor axis Rectangular fit Segmentation Least square method

Anmerkung:	© Springer-Verlag 2011

Übergeordnetes Werk:	Enthalten in: Machine vision and applications - Berlin : Springer, 1988, 23(2011), 6 vom: 12. Juni, Seite 1263-1271
Übergeordnetes Werk:	volume:23 ; year:2011 ; number:6 ; day:12 ; month:06 ; pages:1263-1271

Links:	Volltext

DOI / URN:	10.1007/s00138-011-0348-6

Katalog-ID:	SPR001252976

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520			\|a Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness.
650		4	\|a Minimum bounding box \|7 (dpeaa)DE-He213
650		4	\|a Shape features \|7 (dpeaa)DE-He213
650		4	\|a Centroid \|7 (dpeaa)DE-He213
650		4	\|a Orientation \|7 (dpeaa)DE-He213
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650		4	\|a Rectangular fit \|7 (dpeaa)DE-He213
650		4	\|a Segmentation \|7 (dpeaa)DE-He213
650		4	\|a Least square method \|7 (dpeaa)DE-He213
700	1		\|a Kushwaha, N. K. \|4 aut
700	1		\|a Sharif, I. \|4 aut
700	1		\|a Samal, A. \|4 aut
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allfields	10.1007/s00138-011-0348-6 doi (DE-627)SPR001252976 (SPR)s00138-011-0348-6-e DE-627 ger DE-627 rakwb eng Chaudhuri, D. verfasserin aut Finding best-fitted rectangle for regions using a bisection method 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2011 Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213 Kushwaha, N. K. aut Sharif, I. aut Samal, A. aut Enthalten in Machine vision and applications Berlin : Springer, 1988 23(2011), 6 vom: 12. Juni, Seite 1263-1271 (DE-627)300186312 (DE-600)1481698-2 1432-1769 nnns volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271 https://dx.doi.org/10.1007/s00138-011-0348-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 23 2011 6 12 06 1263-1271
spelling	10.1007/s00138-011-0348-6 doi (DE-627)SPR001252976 (SPR)s00138-011-0348-6-e DE-627 ger DE-627 rakwb eng Chaudhuri, D. verfasserin aut Finding best-fitted rectangle for regions using a bisection method 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2011 Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213 Kushwaha, N. K. aut Sharif, I. aut Samal, A. aut Enthalten in Machine vision and applications Berlin : Springer, 1988 23(2011), 6 vom: 12. Juni, Seite 1263-1271 (DE-627)300186312 (DE-600)1481698-2 1432-1769 nnns volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271 https://dx.doi.org/10.1007/s00138-011-0348-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 23 2011 6 12 06 1263-1271
allfields_unstemmed	10.1007/s00138-011-0348-6 doi (DE-627)SPR001252976 (SPR)s00138-011-0348-6-e DE-627 ger DE-627 rakwb eng Chaudhuri, D. verfasserin aut Finding best-fitted rectangle for regions using a bisection method 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2011 Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213 Kushwaha, N. K. aut Sharif, I. aut Samal, A. aut Enthalten in Machine vision and applications Berlin : Springer, 1988 23(2011), 6 vom: 12. Juni, Seite 1263-1271 (DE-627)300186312 (DE-600)1481698-2 1432-1769 nnns volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271 https://dx.doi.org/10.1007/s00138-011-0348-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 23 2011 6 12 06 1263-1271
allfieldsGer	10.1007/s00138-011-0348-6 doi (DE-627)SPR001252976 (SPR)s00138-011-0348-6-e DE-627 ger DE-627 rakwb eng Chaudhuri, D. verfasserin aut Finding best-fitted rectangle for regions using a bisection method 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2011 Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213 Kushwaha, N. K. aut Sharif, I. aut Samal, A. aut Enthalten in Machine vision and applications Berlin : Springer, 1988 23(2011), 6 vom: 12. Juni, Seite 1263-1271 (DE-627)300186312 (DE-600)1481698-2 1432-1769 nnns volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271 https://dx.doi.org/10.1007/s00138-011-0348-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 23 2011 6 12 06 1263-1271
allfieldsSound	10.1007/s00138-011-0348-6 doi (DE-627)SPR001252976 (SPR)s00138-011-0348-6-e DE-627 ger DE-627 rakwb eng Chaudhuri, D. verfasserin aut Finding best-fitted rectangle for regions using a bisection method 2011 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Springer-Verlag 2011 Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213 Kushwaha, N. K. aut Sharif, I. aut Samal, A. aut Enthalten in Machine vision and applications Berlin : Springer, 1988 23(2011), 6 vom: 12. Juni, Seite 1263-1271 (DE-627)300186312 (DE-600)1481698-2 1432-1769 nnns volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271 https://dx.doi.org/10.1007/s00138-011-0348-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_267 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2116 GBV_ILN_2118 GBV_ILN_2119 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4012 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 23 2011 6 12 06 1263-1271
language	English
source	Enthalten in Machine vision and applications 23(2011), 6 vom: 12. Juni, Seite 1263-1271 volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271
sourceStr	Enthalten in Machine vision and applications 23(2011), 6 vom: 12. Juni, Seite 1263-1271 volume:23 year:2011 number:6 day:12 month:06 pages:1263-1271
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Minimum bounding box Shape features Centroid Orientation Major axis Minor axis Rectangular fit Segmentation Least square method
isfreeaccess_bool	false
container_title	Machine vision and applications
authorswithroles_txt_mv	Chaudhuri, D. @@aut@@ Kushwaha, N. K. @@aut@@ Sharif, I. @@aut@@ Samal, A. @@aut@@
publishDateDaySort_date	2011-06-12T00:00:00Z
hierarchy_top_id	300186312
id	SPR001252976
language_de	englisch
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author	Chaudhuri, D.
spellingShingle	Chaudhuri, D. misc Minimum bounding box misc Shape features misc Centroid misc Orientation misc Major axis misc Minor axis misc Rectangular fit misc Segmentation misc Least square method Finding best-fitted rectangle for regions using a bisection method
authorStr	Chaudhuri, D.
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topic_title	Finding best-fitted rectangle for regions using a bisection method Minimum bounding box (dpeaa)DE-He213 Shape features (dpeaa)DE-He213 Centroid (dpeaa)DE-He213 Orientation (dpeaa)DE-He213 Major axis (dpeaa)DE-He213 Minor axis (dpeaa)DE-He213 Rectangular fit (dpeaa)DE-He213 Segmentation (dpeaa)DE-He213 Least square method (dpeaa)DE-He213
topic	misc Minimum bounding box misc Shape features misc Centroid misc Orientation misc Major axis misc Minor axis misc Rectangular fit misc Segmentation misc Least square method
topic_unstemmed	misc Minimum bounding box misc Shape features misc Centroid misc Orientation misc Major axis misc Minor axis misc Rectangular fit misc Segmentation misc Least square method
topic_browse	misc Minimum bounding box misc Shape features misc Centroid misc Orientation misc Major axis misc Minor axis misc Rectangular fit misc Segmentation misc Least square method
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title	Finding best-fitted rectangle for regions using a bisection method
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title_full	Finding best-fitted rectangle for regions using a bisection method
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author_browse	Chaudhuri, D. Kushwaha, N. K. Sharif, I. Samal, A.
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title_sort	finding best-fitted rectangle for regions using a bisection method
title_auth	Finding best-fitted rectangle for regions using a bisection method
abstract	Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. © Springer-Verlag 2011
abstractGer	Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. © Springer-Verlag 2011
abstract_unstemmed	Abstract In this paper, we have presented a new method for computing the best-fitted rectangle for closed regions using their boundary points. The vertices of the best-fitted rectangle are computed using a bisection method starting with the upper-estimated rectangle and the under-estimated rectangle. The vertices of the upper- and under-estimated rectangles are directly computed using closed-form solutions by solving for pairs of straight lines. Starting with these two rectangles, we solve for the best-fitted rectangle iteratively using a bisection method. The algorithm stops when the areas of the fitted rectangles remain unchanged during consecutive iterations. Extensive evaluation of our algorithm demonstrates its effectiveness. © Springer-Verlag 2011
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container_issue	6
title_short	Finding best-fitted rectangle for regions using a bisection method
url	https://dx.doi.org/10.1007/s00138-011-0348-6
remote_bool	true
author2	Kushwaha, N. K. Sharif, I. Samal, A.
author2Str	Kushwaha, N. K. Sharif, I. Samal, A.
ppnlink	300186312
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doi_str	10.1007/s00138-011-0348-6
up_date	2024-07-03T21:20:30.156Z
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Finding best-fitted rectangle for regions using a bisection method

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