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Interactive aesthetic curve segments

Norimasa Yoshida, Takafumi Saito
2006 The Visual Computer  
For interactive control, we propose a novel method for drawing an aesthetic curve segment by specifying two endpoints and their tangent vectors.  ...  We clarify several characteristics of aesthetic curve segments. Keywords an aesthetic curve segment · logarithmic curvature histogram · the radius of curvature  ...  Interactive Drawing of an Aesthetic Curve Segment Drawing Algorithm In this section, we propose a method for interactive control of an aesthetic curve segment using standard form II.  ... 
doi:10.1007/s00371-006-0076-5 fatcat:xrbrp2kmkbezrhfob56cihpowy

Interactive Control of Planar Class A Bézier Curves using Logarithmic Curvature Graphs

Norimasa Yoshida, Tomoyuki Hiraiwa, Takafumi Saito
2008 Computer-Aided Design and Applications  
We present a method for interactively drawing a planar class A Bézier curve segment.  ...  First, we present a method for interactively drawing a typical class A Bézier curve segment by specifying three points like a quadratic Bézier curve segment.  ...  From the viewpoint of log-aesthetic curves, interactive control of a general class A Bézier curve segment means starting from an approximation to a log-aesthetic curve segment whose α is 1 (logarithmic  ... 
doi:10.3722/cadaps.2008.121-130 fatcat:y72tzvqoandizgl666ujxl7hge

Quasi-Aesthetic Curves in Rational Cubic Bézier Forms

Norimasa Yoshida, Takafumi Saito
2007 Computer-Aided Design and Applications  
We show that one Aesthetic Curve segment whose change of tangential angle is less than 90 deg. can be replaced by one quasi-Aesthetic Curve segment guaranteeing the monotonicity of the curvature in most  ...  We generate quasi-Aesthetic Curves by approximating the Aesthetic Curves whose LCHs are strictly represented by straight lines.  ...  The characteristics of the Fig. 2 : 2 The family of Aesthetic Curves in Standard Form I3.3 Aesthetic Curve SegmentsAn Aesthetic Curve segment can be interactively drawn by specifying three control points  ... 
doi:10.1080/16864360.2007.10738567 fatcat:ivxmxomfynfwrmd53hsualy7im

Drawable Region of the Generalized Log Aesthetic Curves

R. U. Gobithaasan, R. Karpagavalli, Kenjiro T. Miura
2013 Journal of Applied Mathematics  
Recently, a planar curve called Generalized Log Aesthetic Curve (GLAC) has been extended from the Log Aesthetic Curve (LAC), and it has an additional shape parameter,ν.  ...  This paper delves on the drawable region of the GLAC segment which indicates the probable solutions of shape parameters from given interpolating points and the direction of travel at those points.  ...  In 2005, Miura analyzed the features of aesthetic curves and derived a general formula of aesthetic curves called Log Aesthetic Curve (LAC).  ... 
doi:10.1155/2013/732457 fatcat:gao52jyhtbcnrhovc4p2xgupa4

Log-aesthetic space curve segments

Norimasa Yoshida, Ryo Fukuda, Takafumi Saito
2009 2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling on - SPM '09  
Our implementation shows that log-aesthetic curve segments can be controlled fully interactively.  ...  In this paper, we present an interactive control method of log-aesthetic space curves. We dene log-aesthetic space curves to be curves whose logarithmic curvature and torsion graphs are both linear.  ...  Log-aesthetic space curve segments can be controlled fully interactively.  ... 
doi:10.1145/1629255.1629261 dblp:conf/sma/YoshidaFS09 fatcat:tbz7fa4sbzho3ib66daxaowsgi

Input of Log-aesthetic Curve Segments with Inflection End Points and Generation of Log-aesthetic Curves withG2continuity

Kenjiro T. Miura, Shin'ichi Agari, Yohei Kawata, Makoto Fujisawa, Fuhua (Frank) Cheng
2008 Computer-Aided Design and Applications  
Hence at first we propose a technique to input a log-aesthetic curve segment with an inflection point at its end.  ...  However, their input method proposed so far by use of three socalled control points can generate only an aesthetic curve segment with monotonic curvature variation and can not create a curve with the curvature-extremal  ...  Input of Aesthetic Curve Segment As an input method of the aesthetic curve, for a given  Yoshida and Saito proposed a technique to generate an aesthetic curve segment by inputting three points to specify  ... 
doi:10.3722/cadaps.2008.77-85 fatcat:5irjtatq4venjn2n2dpjx23v7q

AIKON

Patrick Tresset, Frederic Fol Leymarie
2006 ACM SIGGRAPH 2006 Research posters on - SIGGRAPH '06  
in the interactions between such processes.  ...  Each such curve can then drive a shading technique (Fig.1) . The shading density and line thickness depends on the selected segmented region sizes and associated tone values (Fig.2) .  ...  in the interactions between such processes.  ... 
doi:10.1145/1179622.1179664 dblp:conf/siggraph/TressetL06 fatcat:pcqx6ktxfffxxewqvunk2oolla

Input of G1 Continuous Aesthetic Curve Segments with Pen Tablet

Mariko YAGI, Yohei KAWATA, Makoto FUJISAWA, Kenjiro T. MIURA
2008 The Journal of the Society for Art and Science  
However, their input method proposed so far by use of three so-called control points can generate only an aesthetic curve segment with monotonic curvature variation and can not create a curve with the  ...  Hence we propose a method to generate aesthetic curve segments with G 1 continuity from a sequence of 2D points input with, for example, a liquid cristal pen tablet.  ... 
doi:10.3756/artsci.7.97 fatcat:o34ml2qe5bg4xlcb54ykguxbva

MC-curves and aesthetic measurements for pseudospiral curve segments [article]

Rushan Ziatdinov, Rifkat I. Nabiyev, Kenjiro T. Miura
2013 arXiv   pre-print
This article studies families of curves with monotonic curvature function (MC-curves) and their applications in geometric modelling and aesthetic design.  ...  Aesthetic analysis and assessment of the structure and plastic qualities of pseudospirals, which are curves with monotonic curvature function, are conducted for the first time in the field of geometric  ...  In our opinion, development of algorithms to generate and control the curvature for class A Bézier curves, as basic functions containing generalized Bernstein polynomials, i.e., , or Vidensky-type linear  ... 
arXiv:1305.1737v1 fatcat:oe3jdweu5jcgtia664dy6ybtni

Interactive Generation of 3D Class A Bézier Curve Segments

Norimasa Yoshida, Ryo Fukuda, Takafumi Saito
2010 Computer-Aided Design and Applications  
This paper presents a method for interactively generating a 3D class A Bézier curve segment by specifying two endpoints and their tangents.  ...  We clarify geometric properties of 3D class A Bézier curves and use them for efficiently generating 3D class A Bézier curve segments satisfying the specified positional and tangential constraints.  ...  In case of space curves, log-aesthetic space curve segments [14] can be interactive controlled with user-specified endpoint constraints.  ... 
doi:10.3722/cadaps.2010.163-172 fatcat:7nsa7yg6f5hofoxk4z76bbxsqi

An Improvised Algorithm to Identify The Beauty of A Planar Curve [article]

R.U. Gobithaasan, Jamaludin Md. Ali, Kenjiro T. Miura
2013 arXiv   pre-print
This graph has the capability to identify the beauty of monotonic planar curves with less effort as compared to LDDC by Yoshimoto and Harada.  ...  By interactive or automated tweaking control points and concurrently inspecting the curvature profile, the designer arrives to the desired curve.  ...  The beauty of a curve increases as the gradient of the curve approximates to a constant value. Refer to Yoshimoto & Harada (2002) for the grouping of aesthetic curves.  ... 
arXiv:1304.7883v1 fatcat:2qxwkttgajhw3jln2zobdnnpmm

Interpolating Splines: Which is the fairest of them all?

Raph Levien, Carlo H. Séquin
2009 Computer-Aided Design and Applications  
curve, such as the Euler spiral.  ...  Interpolating splines are a basic primitive for designing planar curves.  ...  Log-Aesthetic Curves A very promising family of candidates for generator curves is the aesthetic curve, also known as the log-aesthetic curve [11] .  ... 
doi:10.3722/cadaps.2009.91-102 fatcat:zxbsurqdbngyhkenrwt7vvua5a

Variational formulation of the log-aesthetic curve

Kenjiro T. Miura, Shin Usuki, R. U. Gobithaasan
2012 Proceedings of the 2012 Joint International Conference on Human-Centered Computer Environments - HCCE '12  
The log-aesthetic curves include the logarithmic (equiangular) spiral, clothoid, and involute curves.  ...  Although most of them are expressed only by an integral form of the tangent vector, it is possible to interactively generate and deform them and they are expected to be utilized for practical use of industrial  ...  As future work, we will define the log-aesthetic surface based on variational principle based on this research.  ... 
doi:10.1145/2160749.2160793 dblp:conf/hcce/MiuraUG12 fatcat:lu6pmjwlnngede52vysh52rqba

Aesthetics of Curvature Bases for Sketches

Keith Lippincott, Ross L. Hatton, Cindy Grimm
2019 ACM/Eurographics Expressive Symposium  
Our hypothesis is that different curvature bases will result in different aesthetics for the reconstructed curve.  ...  curve's aesthetics and similarity.  ...  In interactive applications this could be amortized by fitting as the user draws the curve.  ... 
doi:10.2312/exp.20191081 dblp:conf/expressive/LippincottHG19 fatcat:s6snzi34e5ct3nuhdgfy5qaiu4

Log-Aesthetic Curves for Shape Completion Problem

R. U. Gobithaasan, Yip Siew Wei, Kenjiro T. Miura
2014 Journal of Applied Mathematics  
It is therefore important to reconstruct the missing parts of an object while retaining its aesthetic appearance. In this paper, we propose Log-Aestheic Curves (LAC) for shape completion problem.  ...  We propose an algorithm to construct LAC segment and subsequently fit into the gap of the missing parts with C-shape or S-shape.  ...  In 2009, they further extended LAC into space curve and proposed a method to interactively control the curves, which is similar to quadratic Bezier curves.  ... 
doi:10.1155/2014/960302 fatcat:zozocz52efcqxp2k5b3kjpmc3e
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