Quadratic log-aesthetic curves. Issue 2 (23rd February 2017)

• Record Type: Journal Article
• Authors: Yoshida, Norimasa; Saito, Takafumi
• Is Part Of: Computer-aided design and applications. Volume 14:Issue 2(2017)
• Page Start: 219
• Page End: 226
• Publication Date: 2017-02-23
• Subjects: Quadratic log-aesthetic curve -- logarithmic curvature graph -- error and imaginary error functions; Computer-aided design -- Congresses; Computer-aided design -- Periodicals; Engineering design -- Data processing -- Congresses; Engineering design -- Periodicals; 620.00420285
• DOI: 10.1080/16864360.2016.1223434
• Languages: English
• ISSNs: 1686-4360

Abstract

Abstract : This paper proposes quadratic log-aesthetic curves that are curves whose logarithmic curvature graphs are quadratic. In previous work, generalized log-aesthetic curves are derived by shifting either the curvature or the radius of curvature of log-aesthetic curves. Quadratic log-aesthetic curves are another generalization of log-aesthetic curves by making logarithmic curvature graphs quadratic. We derive the equations of quadratic log-aesthetic curves and clarify their characteristics. For drawing quadratic log-aesthetic curves, we need to compute the inverses of the error and imaginary error functions. We present a method for computing these inverses and confirm that the curves can be generated in real time. GRAPHICAL ABSTRACT: