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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 #  
Date of Issue 2021-03-01 (AIT) 
ISSN Print edition: ISSN 1342-6893    Online edition: ISSN 2424-1970
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Conference Information
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)  
Keyword(1) cubic polynomial Bézier curves  
Keyword(2) monotonically varying curvature  
Keyword(3) visualization  
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 
Date of Issue 2021-03-01 (AIT) 

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