Drawable Region of the Generalized Log Aesthetic Curves
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andApplied AnalysisHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNAppliedMathematicsHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013International Journal ofCombinatorics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Journal of Function Spacesand Applications InternationalJournal ofMathematics andMathematicalSciences Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNGeometryHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Discrete Dynamics inNature and SocietyHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Advances inMathematical Physics ISRNAlgebraHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013ProbabilityandStatisticsJournal of Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 ISRNMathematicalAnalysisHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Journal ofApplied Mathematics Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Advances inDecisionSciences Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013 Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013Stochastic AnalysisInternational Journal ofHindawi Publishing Corporationhttp://www.hindawi.comVolume 2013The ScientificWorld Journal Hindawi Publishing Corporationhttp://www.hindawi.comVolume 2013ISRNDiscreteMathematicsHindawi Publishing Corporationhttp://www.hindawi.comDifferential EquationsInternational Journal of
منابع مشابه
Aesthetic Spiral for Design (
A planar spiral called Generalized Log Aesthetic Curve segment (GLAC) has been proposed using the curve synthesis process with two types of formulation; ρ-shift and κ-shift. Both methods were carried out by extending the formulation of Generalized Cornu Spiral (GCS) in a similar manner to the Log Aesthetic Curve (LAC). The family of GLAC comprises of planar curves of high quality such as GCS, L...
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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 and graphical design. The discrete log-aesthetic filter based on the formulation of t...
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An n-Venn diagram consists of n curves that divide the plane into 2 connected regions, one region for each possible intersection of the interiors of the curves. We show there are exactly 406 6-Venn diagrams that (a) have 6 curves, (b) are simple (at most two curves intersect at any point), (c) can be drawn with all curves convex, and (d) are invariant under polar ips", a type of inversion symme...
متن کاملThe Logarithmic Curvature Graphs of Generalized Cornu Spirals
The Generalized Cornu Spiral (GCS) was first proposed by Ali et al. in 1995 [1, 9]. Due to the monotonocity of its curvature function, the surface generated with GCS segments has been considered as a high quality surface and it has potential applications in surface design [12]. In this paper, the analysis of GCS segment is carried out by determining its aesthetic value using the log curvature G...
متن کاملInput of Compound-rhythm Log-aesthetic Curves
This paper proposes a method of inputting a planar log-aesthetic curve with compound-rhythm using four control points. The log-aesthetic curve does not exhibit any undulations of curvature as its curvature increases or decreases monotonically and it is suitable for practical product design. We report an method to input the compound-rhythm log-aesthetic curve made up of two log-aesthetic curve s...
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ورودعنوان ژورنال:
- J. Applied Mathematics
دوره 2013 شماره
صفحات -
تاریخ انتشار 2013