Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves
In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that ther...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Lee, Ryeong [verfasserIn] |
|---|
| Format: |
E-Artikel |
|---|---|
| Sprache: |
Englisch |
| Erschienen: |
2015transfer abstract |
|---|
| Schlagwörter: |
|---|
| Umfang: |
10 |
|---|
| Übergeordnetes Werk: |
Enthalten in: Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics - Hu, Xing ELSEVIER, 2015transfer abstract, Amsterdam [u.a.] |
|---|---|
| Übergeordnetes Werk: |
volume:288 ; year:2015 ; pages:141-150 ; extent:10 |
| Links: |
|---|
| DOI / URN: |
10.1016/j.cam.2015.04.012 |
|---|
| Katalog-ID: |
ELV034589910 |
|---|
| LEADER | 01000caa a22002652 4500 | ||
|---|---|---|---|
| 001 | ELV034589910 | ||
| 003 | DE-627 | ||
| 005 | 20230625201316.0 | ||
| 007 | cr uuu---uuuuu | ||
| 008 | 180603s2015 xx |||||o 00| ||eng c | ||
| 024 | 7 | |a 10.1016/j.cam.2015.04.012 |2 doi | |
| 028 | 5 | 2 | |a GBVA2015012000018.pica |
| 035 | |a (DE-627)ELV034589910 | ||
| 035 | |a (ELSEVIER)S0377-0427(15)00230-7 | ||
| 040 | |a DE-627 |b ger |c DE-627 |e rakwb | ||
| 041 | |a eng | ||
| 082 | 0 | |a 510 | |
| 082 | 0 | 4 | |a 510 |q DE-600 |
| 082 | 0 | 4 | |a 670 |q VZ |
| 082 | 0 | 4 | |a 540 |q VZ |
| 082 | 0 | 4 | |a 630 |q VZ |
| 100 | 1 | |a Lee, Ryeong |e verfasserin |4 aut | |
| 245 | 1 | 0 | |a Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| 264 | 1 | |c 2015transfer abstract | |
| 300 | |a 10 | ||
| 336 | |a nicht spezifiziert |b zzz |2 rdacontent | ||
| 337 | |a nicht spezifiziert |b z |2 rdamedia | ||
| 338 | |a nicht spezifiziert |b zu |2 rdacarrier | ||
| 520 | |a In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. | ||
| 520 | |a In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. | ||
| 650 | 7 | |a Quadratic Bézier curve |2 Elsevier | |
| 650 | 7 | |a Sign of curvature |2 Elsevier | |
| 650 | 7 | |a Classification of shapes |2 Elsevier | |
| 650 | 7 | |a Convolution curve |2 Elsevier | |
| 650 | 7 | |a Tangent direction |2 Elsevier | |
| 700 | 1 | |a Ahn, Young Joon |4 oth | |
| 773 | 0 | 8 | |i Enthalten in |n North-Holland |a Hu, Xing ELSEVIER |t Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |d 2015transfer abstract |g Amsterdam [u.a.] |w (DE-627)ELV013217658 |
| 773 | 1 | 8 | |g volume:288 |g year:2015 |g pages:141-150 |g extent:10 |
| 856 | 4 | 0 | |u https://doi.org/10.1016/j.cam.2015.04.012 |3 Volltext |
| 912 | |a GBV_USEFLAG_U | ||
| 912 | |a GBV_ELV | ||
| 912 | |a SYSFLAG_U | ||
| 912 | |a SSG-OLC-PHA | ||
| 951 | |a AR | ||
| 952 | |d 288 |j 2015 |h 141-150 |g 10 | ||
| 953 | |2 045F |a 510 | ||
| author_variant |
r l rl |
|---|---|
| matchkey_str |
leeryeongahnyoungjoon:2015----:emtisaenlssocnouinuvotooptbe |
| hierarchy_sort_str |
2015transfer abstract |
| publishDate |
2015 |
| allfields |
10.1016/j.cam.2015.04.012 doi GBVA2015012000018.pica (DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Lee, Ryeong verfasserin aut Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves 2015transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier Ahn, Young Joon oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:288 year:2015 pages:141-150 extent:10 https://doi.org/10.1016/j.cam.2015.04.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 288 2015 141-150 10 045F 510 |
| spelling |
10.1016/j.cam.2015.04.012 doi GBVA2015012000018.pica (DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Lee, Ryeong verfasserin aut Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves 2015transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier Ahn, Young Joon oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:288 year:2015 pages:141-150 extent:10 https://doi.org/10.1016/j.cam.2015.04.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 288 2015 141-150 10 045F 510 |
| allfields_unstemmed |
10.1016/j.cam.2015.04.012 doi GBVA2015012000018.pica (DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Lee, Ryeong verfasserin aut Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves 2015transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier Ahn, Young Joon oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:288 year:2015 pages:141-150 extent:10 https://doi.org/10.1016/j.cam.2015.04.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 288 2015 141-150 10 045F 510 |
| allfieldsGer |
10.1016/j.cam.2015.04.012 doi GBVA2015012000018.pica (DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Lee, Ryeong verfasserin aut Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves 2015transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier Ahn, Young Joon oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:288 year:2015 pages:141-150 extent:10 https://doi.org/10.1016/j.cam.2015.04.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 288 2015 141-150 10 045F 510 |
| allfieldsSound |
10.1016/j.cam.2015.04.012 doi GBVA2015012000018.pica (DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 DE-627 ger DE-627 rakwb eng 510 510 DE-600 670 VZ 540 VZ 630 VZ Lee, Ryeong verfasserin aut Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves 2015transfer abstract 10 nicht spezifiziert zzz rdacontent nicht spezifiziert z rdamedia nicht spezifiziert zu rdacarrier In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier Ahn, Young Joon oth Enthalten in North-Holland Hu, Xing ELSEVIER Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics 2015transfer abstract Amsterdam [u.a.] (DE-627)ELV013217658 volume:288 year:2015 pages:141-150 extent:10 https://doi.org/10.1016/j.cam.2015.04.012 Volltext GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA AR 288 2015 141-150 10 045F 510 |
| language |
English |
| source |
Enthalten in Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics Amsterdam [u.a.] volume:288 year:2015 pages:141-150 extent:10 |
| sourceStr |
Enthalten in Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics Amsterdam [u.a.] volume:288 year:2015 pages:141-150 extent:10 |
| format_phy_str_mv |
Article |
| institution |
findex.gbv.de |
| topic_facet |
Quadratic Bézier curve Sign of curvature Classification of shapes Convolution curve Tangent direction |
| dewey-raw |
510 |
| isfreeaccess_bool |
false |
| container_title |
Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
| authorswithroles_txt_mv |
Lee, Ryeong @@aut@@ Ahn, Young Joon @@oth@@ |
| publishDateDaySort_date |
2015-01-01T00:00:00Z |
| hierarchy_top_id |
ELV013217658 |
| dewey-sort |
3510 |
| id |
ELV034589910 |
| language_de |
englisch |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV034589910</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625201316.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2015 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.cam.2015.04.012</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2015012000018.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV034589910</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0377-0427(15)00230-7</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">670</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">630</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lee, Ryeong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">10</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quadratic Bézier curve</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Sign of curvature</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Classification of shapes</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Convolution curve</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Tangent direction</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ahn, Young Joon</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">North-Holland</subfield><subfield code="a">Hu, Xing ELSEVIER</subfield><subfield code="t">Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics</subfield><subfield code="d">2015transfer abstract</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV013217658</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:288</subfield><subfield code="g">year:2015</subfield><subfield code="g">pages:141-150</subfield><subfield code="g">extent:10</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.cam.2015.04.012</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">288</subfield><subfield code="j">2015</subfield><subfield code="h">141-150</subfield><subfield code="g">10</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| author |
Lee, Ryeong |
| spellingShingle |
Lee, Ryeong ddc 510 ddc 670 ddc 540 ddc 630 Elsevier Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| authorStr |
Lee, Ryeong |
| ppnlink_with_tag_str_mv |
@@773@@(DE-627)ELV013217658 |
| format |
electronic Article |
| dewey-ones |
510 - Mathematics 670 - Manufacturing 540 - Chemistry & allied sciences 630 - Agriculture & related technologies |
| delete_txt_mv |
keep |
| author_role |
aut |
| collection |
elsevier |
| remote_str |
true |
| illustrated |
Not Illustrated |
| topic_title |
510 510 DE-600 670 VZ 540 VZ 630 VZ Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction Elsevier |
| topic |
ddc 510 ddc 670 ddc 540 ddc 630 Elsevier Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction |
| topic_unstemmed |
ddc 510 ddc 670 ddc 540 ddc 630 Elsevier Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction |
| topic_browse |
ddc 510 ddc 670 ddc 540 ddc 630 Elsevier Quadratic Bézier curve Elsevier Sign of curvature Elsevier Classification of shapes Elsevier Convolution curve Elsevier Tangent direction |
| format_facet |
Elektronische Aufsätze Aufsätze Elektronische Ressource |
| format_main_str_mv |
Text Zeitschrift/Artikel |
| carriertype_str_mv |
zu |
| author2_variant |
y j a yj yja |
| hierarchy_parent_title |
Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
| hierarchy_parent_id |
ELV013217658 |
| dewey-tens |
510 - Mathematics 670 - Manufacturing 540 - Chemistry 630 - Agriculture |
| hierarchy_top_title |
Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
| isfreeaccess_txt |
false |
| familylinks_str_mv |
(DE-627)ELV013217658 |
| title |
Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| ctrlnum |
(DE-627)ELV034589910 (ELSEVIER)S0377-0427(15)00230-7 |
| title_full |
Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| author_sort |
Lee, Ryeong |
| journal |
Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
| journalStr |
Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics |
| lang_code |
eng |
| isOA_bool |
false |
| dewey-hundreds |
500 - Science 600 - Technology |
| recordtype |
marc |
| publishDateSort |
2015 |
| contenttype_str_mv |
zzz |
| container_start_page |
141 |
| author_browse |
Lee, Ryeong |
| container_volume |
288 |
| physical |
10 |
| class |
510 510 DE-600 670 VZ 540 VZ 630 VZ |
| format_se |
Elektronische Aufsätze |
| author-letter |
Lee, Ryeong |
| doi_str_mv |
10.1016/j.cam.2015.04.012 |
| dewey-full |
510 670 540 630 |
| title_sort |
geometric shape analysis for convolution curve of two compatible quadratic bézier curves |
| title_auth |
Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| abstract |
In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. |
| abstractGer |
In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. |
| abstract_unstemmed |
In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization. |
| collection_details |
GBV_USEFLAG_U GBV_ELV SYSFLAG_U SSG-OLC-PHA |
| title_short |
Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves |
| url |
https://doi.org/10.1016/j.cam.2015.04.012 |
| remote_bool |
true |
| author2 |
Ahn, Young Joon |
| author2Str |
Ahn, Young Joon |
| ppnlink |
ELV013217658 |
| mediatype_str_mv |
z |
| isOA_txt |
false |
| hochschulschrift_bool |
false |
| author2_role |
oth |
| doi_str |
10.1016/j.cam.2015.04.012 |
| up_date |
2024-07-06T21:29:47.617Z |
| _version_ |
1803866747822931968 |
| fullrecord_marcxml |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV034589910</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230625201316.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">180603s2015 xx |||||o 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.cam.2015.04.012</subfield><subfield code="2">doi</subfield></datafield><datafield tag="028" ind1="5" ind2="2"><subfield code="a">GBVA2015012000018.pica</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV034589910</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0377-0427(15)00230-7</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">670</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">540</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">630</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Lee, Ryeong</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometric shape analysis for convolution curve of two compatible quadratic Bézier curves</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2015transfer abstract</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">10</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">z</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zu</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In this paper we consider the local and global geometric properties of the convolution curve of two compatible quadratic Bézier curves. We characterize all shapes of convolution curves using the ratios of lengths of the corresponding control polygon of two Bézier curves. Especially we show that there are only three cases in the classification of local shapes with respect to the tangent direction and sign of curvature at each endpoint of the convolution curve. This special property can be extended to the convolution curve of two compatible Bézier curves of any degree n . We also classify all cases of global shapes of the convolution curves using the local shapes. The geometric properties of convolution curves are also presented when the ratio is critical point. Some examples are given to illustrate our characterization.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Quadratic Bézier curve</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Sign of curvature</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Classification of shapes</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Convolution curve</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Tangent direction</subfield><subfield code="2">Elsevier</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ahn, Young Joon</subfield><subfield code="4">oth</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="n">North-Holland</subfield><subfield code="a">Hu, Xing ELSEVIER</subfield><subfield code="t">Dielectric relaxation and microwave dielectric properties of low temperature sintering LiMnPO4 ceramics</subfield><subfield code="d">2015transfer abstract</subfield><subfield code="g">Amsterdam [u.a.]</subfield><subfield code="w">(DE-627)ELV013217658</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:288</subfield><subfield code="g">year:2015</subfield><subfield code="g">pages:141-150</subfield><subfield code="g">extent:10</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1016/j.cam.2015.04.012</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_ELV</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_U</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-PHA</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">288</subfield><subfield code="j">2015</subfield><subfield code="h">141-150</subfield><subfield code="g">10</subfield></datafield><datafield tag="953" ind1=" " ind2=" "><subfield code="2">045F</subfield><subfield code="a">510</subfield></datafield></record></collection>
|
| score |
7.397897 |