Reformulation of Generalized Log-aesthetic Curves with Bernoulli equations. Issue 2 (3rd March 2016)

• Record Type: Journal Article
• Authors: Miura, Kenjiro T.; Gobithaasan, R. U.; Suzuki, Sho; Usuki, Shin
• Is Part Of: Computer-aided design and applications. Volume 13:Issue 2(2016)
• Page Start: 265
• Page End: 269
• Publication Date: 2016-03-03
• Subjects: Log-aesthetic curve -- Generalized Log-aesthetic Curve -- Bernoulli differential equations -- Riccati differential equations; Computer-aided design -- Congresses; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Congresses; Engineering design -- Periodicals; 620.00420285
• DOI: 10.1080/16864360.2015.1084200
• Languages: English
• ISSNs: 1686-4360

Abstract

Abstract: A recent research has found out the relationship between the Log-aesthetic Curve and Riccati differential equations. The obtained differential equations are Riccati, but also Bernoulli type. Based on Sato and Shimizu's derivation of the formula of ρ -shift generalized log-aesthetic curve (GLAC), we derive the formula of the κ -shift GLAC as a solution of a Bernoulli differential equation. GRAPHICAL ABSTRACT: