| Paper Abstract and Keywords |
| Presentation |
2021-03-08 13:30
Visualization of the monotonic region of curvature in cubic polynomial Bézier curves
Seiya Sakurai, Norimasa Yoshida (Nihon Univ.) |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Monotonically varying curvature is an important factor in designing aesthetic curved shapes. However, the curvature variation of freeform curves used in CAD systems for product design are not easy to control, and the search for a curve with monotonically varying curvature is time-consuming. In this study, for a cubic polynomial Bézier curve, we fix P_0=[0 0]^T and P_1=[1 0]^T and visualize the region of P_3 where the curvature is monotonically varying when P_2 is specified. The results show that the longer the length between P_1 and P_2 is, the wider the area of monotonically varying curvature becomes, except when P_2 is on the positive x-axis. In addition, except when the length between P_1 and P_2 is 0 or the angle between P_1 and P_2 is 0, the area of monotonically varying curvature becomes smaller as the angle becomes larger. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
cubic polynomial Bézier curves / monotonically varying curvature / visualization / / / / / |
| Reference Info. |
ITE Tech. Rep., vol. 45, pp. 189-190, March 2021. |
| Paper # |
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| Date of Issue |
2021-03-01 (AIT) |
| ISSN |
Print edition: ISSN 1342-6893 Online edition: ISSN 2424-1970 |
| Download PDF |
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| Conference Information |
| Committee |
AIT IIEEJ AS CG-ARTS |
| Conference Date |
2021-03-08 - 2021-03-08 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Online |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
Expressive Japan 2021 |
| Paper Information |
| Registration To |
IIEEJ |
| Conference Code |
2021-03-AIT-IIEEJ-AS-ARTS |
| Language |
Japanese |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Visualization of the monotonic region of curvature in cubic polynomial Bézier curves |
| Sub Title (in English) |
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| Keyword(1) |
cubic polynomial Bézier curves |
| Keyword(2) |
monotonically varying curvature |
| Keyword(3) |
visualization |
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| 1st Author's Name |
Seiya Sakurai |
| 1st Author's Affiliation |
Nihon University (Nihon Univ.) |
| 2nd Author's Name |
Norimasa Yoshida |
| 2nd Author's Affiliation |
Nihon University (Nihon Univ.) |
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| Speaker |
Author-1 |
| Date Time |
2021-03-08 13:30:00 |
| Presentation Time |
75 minutes |
| Registration for |
IIEEJ |
| Paper # |
AIT2021-84 |
| Volume (vol) |
vol.45 |
| Number (no) |
no.8 |
| Page |
pp.189-190 |
| #Pages |
2 |
| Date of Issue |
2021-03-01 (AIT) |