An aesthetic curve in the field of Industrial design

Harada, Toshinobu; Yoshimoto, Fujiichi; Moriyama, Masamitsu

doi:10.1109/vl.1999.795873

Cited by 57 publications

(55 citation statements)

References 6 publications

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“…Harada et al [4] reported that  is closely related to impressions of the LA curve. Hence it is a common practice to fix the value of ߙ to design aesthetic shapes using LA curves.…”

Section: Definitions Of the La Spline With Three Segmentsmentioning

confidence: 99%

“…Miura et al [13] used the LCG gradient  as an additional parameter to make the curvature at the end point to 0. However there is a report which claims  is related to impressions of the curve [4]. Hence,  is fixed as a constant to produce G 1 Hermite interpolation using a single LA curve segment and a C 3 continuous compoundrhythm LA curve is connected with two LA segments.…”

Section: Log-aesthetic Spline With Three Segmentsmentioning

confidence: 99%

See 1 more Smart Citation

Designing Log-aesthetic Splines withG²Continuity

Miura¹,

Shibuya²,

Gobithaasan³

et al. 2013

Computer-Aided Design and Applications

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This paper elucidates the possibilities to interactively generate and deform Logaesthetic (LA) curves regardless of their integral form. The methods proposed are twofold; in the first section, we propose new method to generate an S-shaped LA spline. In the next section, we propose a novel method to solve the G 2 Hermite interpolation problem with LA curves which is in the form of LA triplets. These methods have been implemented as a plug-in module for a commercial CAD system and are successfully used for practical design. This paper proofs that LA curve has matured and ready for industrial design.

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“…Harada et al [4] reported that  is closely related to impressions of the LA curve. Hence it is a common practice to fix the value of ߙ to design aesthetic shapes using LA curves.…”

Section: Definitions Of the La Spline With Three Segmentsmentioning

confidence: 99%

Section: Log-aesthetic Spline With Three Segmentsmentioning

confidence: 99%

Designing Log-aesthetic Splines withG²Continuity

Miura¹,

Shibuya²,

Gobithaasan³

et al. 2013

Computer-Aided Design and Applications

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“…Recent studies [24,25,26] have demonstrated that curves with piecewise linear logarithmic curvature histograms (LCH) exhibit visual appeal. In our approach, we use one of many possible such curves, namely the piecewise clothoid curves with piecewise linear curvature profiles.…”

Section: Target Curves: Piecewise Clothoid Fittingmentioning

confidence: 99%

Sketch-based aesthetic product form exploration from existing images using piecewise clothoid curves

Orbay

Yumer

Kara

2012

Journal of Visual Languages & Computing

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We present a new sketch-based product form exploration technique that works from images and sketches of existing products. At the heart of our approach, is a multi-stroke curve beautification method and a curve-based image deformation algorithm. The proposed approach converts groups of strokes into piecewise clothoid curves in order to produce visually pleasing shapes. The deformation diffusion algorithm then spatially distributes the user specified deformations through out the image to produce smooth transformations from the original image to the resulting image. We demonstrate the technique on a variety of images including photo-realistic images, real product images, and sketches.

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“…In 1999, Harada et al [7] proposed a novel method to analyse the properties of planar curve called Logarithmic Distribution Diagram of Curvature (LDDC) where the relationship between the length frequencies of segmented curve with regards to its radius of curvature is plotted in a log-log coordinate system. Kanaya et al [5] presented Kvector and later renamed it as Logarithmic Curvature Graph (LCG) [9,10].…”

Section: Introductionmentioning

confidence: 99%

“…Kanaya et al [5] presented Kvector and later renamed it as Logarithmic Curvature Graph (LCG) [9,10]. If the gradient of LCG is constant, then the curve is categorized as aesthetic curves [5,7]. Therefore, LCG yields the analytic relationship between the interval of radius of curvature and its corresponding length frequency.…”

Section: Introductionmentioning

confidence: 99%

Rendering log aesthetic curves via Runge-Kutta method

Gobithaasan¹,

Meng²,

Piah³

et al. 2014

AIP Conference Proceedings

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Abstract. Log Aesthetic Curves (LAC) are visually pleasing curves which has been developed using monotonic curvature profile. Hence, it can be easily implemented in product design environment, e.g, Rhino 3D CAD systems. LAC is generally represented in an integral form of its turning angle. Traditionally, Gaussian-Kronrod method has been used to render this curve which consumes less than one second for a given interval. Recently, Incomplete Gamma Function was proposed to represent LAC analytically which decreases the computation time up to 13 times. However, only certain value of shape parameters (denoted as α) which dictates the types of curves generated for LAC, can be used to compute LAC. In this paper, the classical Runge-Kutta (RK4) method is proposed to evaluate LAC numerically to reduce the LAC computation time for arbitrary, α. The preliminary result looks promising where the evaluation time is decreased tremendously. This paper also demonstrates the accuracy control of LAC by reducing the stepsize of RK4. The computation time and the accuracy for various α, are also illustrated in the last section of this paper.

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An aesthetic curve in the field of Industrial design

Cited by 57 publications

References 6 publications

Designing Log-aesthetic Splines withG²Continuity

Designing Log-aesthetic Splines withG²Continuity

Sketch-based aesthetic product form exploration from existing images using piecewise clothoid curves

Rendering log aesthetic curves via Runge-Kutta method

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An aesthetic curve in the field of Industrial design

Cited by 57 publications

References 6 publications

Designing Log-aesthetic Splines withG2Continuity

Designing Log-aesthetic Splines withG2Continuity

Sketch-based aesthetic product form exploration from existing images using piecewise clothoid curves

Rendering log aesthetic curves via Runge-Kutta method

Contact Info

Product

Resources

About

Designing Log-aesthetic Splines withG²Continuity

Designing Log-aesthetic Splines withG²Continuity