Fairing of planar curves to log-aesthetic curves

2022/06/01 by Sebastián Elías Graiff Zurita, Zurita, Sebastián Elías Graiff, Kenji Kajiwara +3 · 1 citation
Earth and Planetary Sciences · Engineering · #3D Shape Modeling and Analysis #3D Surveying and Cultural Heritage #Advanced Numerical Analysis Techniques #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Graphics (cs.GR) #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2206.00235

openalex publication_date 2022/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an algorithm to fair a given planar curve by a log-aesthetic curve (LAC). We show how a general LAC segment can be uniquely characterized by seven parameters and present a method of parametric approximation based on this fact. This work aims to provide tools to be used in reverse engineering for computer aided geometric design. Finally, we show an example of usage by applying this algorithm to the point data obtained from 3D scanning a car's roof.

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• A new class of aesthetic curves based on the self-affinity in equiaffine geometry

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