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Proceedings of CAD'16, 2016, 29-33
Log-aesthetic Flow Governed by Heat Conduction Equations

Kenjiro T. Miura, Sho Suzuki, Shin Usuki, Shizuoka University
R.U. Gobithaasan, Universiti Malaysia Terengganu
Péter Salvi, Budapest University of Technology and Economics

Abstract. In this research, based on the concept of the smoothing by curve shortening flow and curvature flow, we will propose log-aesthetic flow to make free-form curves “log-aesthetic.” We will discuss smoothing methods that deal with continuous curves as well as discrete ones.

Keywords. Log-aesthetic Flow, Log-aesthetic Curve, Heat Conduction Equation, Variational Principle

DOI: 10.14733/cadconfP.2016.29-33