scholarly journals HAUSDORFF DISTANCE BETWEEN THE OFFSET CURVE OF QUADRATIC BEZIER CURVE AND ITS QUADRATIC APPROXIMATION

2007 ◽  
Vol 22 (4) ◽  
pp. 641-648 ◽  
Author(s):  
Young-Joon Ahn
Keyword(s):  
Hausdorff Distance ◽  
Quadratic Approximation ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Quadratic Bézier Curve ◽  
Offset Curve

CONSTRAINING A QUADRATIC RATIONAL BEZIER TO BE AN ELLIPTICAL ARC

1996 ◽  
Vol 06 (04) ◽  
pp. 435-441
Author(s):  
PIERRE J. MALRAISON
Keyword(s):  
Bézier Curve ◽  
Bezier Curve ◽  
Quadratic Bézier Curve ◽  
Control Net

Analytic constraint solvers have a limited set of available geometries, typically lines and circles. This paper examines a method for constraining the control net of a rational quadratic Bezier curve so that it is always an elliptical arc.

Quick draw of the original handwriting base on quadratic Bezier curve

2016 ◽  
Vol 14 (04) ◽  
pp. 1650025
Author(s):  
Shengan Zhou ◽  
Dongfa Gao ◽  
Dehua Zhou
Keyword(s):  
Normal Mouse ◽  
Experimental Results ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Input Device ◽  
Input Devices ◽  
Quadratic Bézier Curve ◽  
Direction Information ◽  
Quick Draw ◽  
Moving Speed

According to the use of normal mouse as an input device to achieve the quick draw of the original handwriting, this paper proposed a quick draw Method of original handwriting based on quadratic Bezier curve. Firstly, the method obtained moving speed and the direction information of the mouse and the information helped to obtain the periphery polygon vertex of the original handwriting drawing. Then Corresponding vertices of a polygon was used to structure the Bezier curve on both sides of the original handwriting to generate the peripheral curve polygon of the original handwriting. Finally, it was input by filling the curve polygon to simulate the user’s handwriting. The experimental results show that the algorithm interacts smoothly and has good simulation effect. Compared with other original handwriting drawing methods with the help of the related electronic input devices, this method only needs the normal mouse instead of stylus and multi touch device to achieve the smooth drawing of original handwriting. Therefore it has wide application value.

EUCLIDEAN VORONOI DIAGRAM FOR CIRCLES IN A CIRCLE

2005 ◽  
Vol 15 (02) ◽  
pp. 209-228 ◽  
Author(s):  
DONGUK KIM ◽  
DEOK-SOO KIM ◽  
KOKICHI SUGIHARA
Keyword(s):  
Voronoi Diagram ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Large Circle ◽  
Ordinary Point ◽  
Quadratic Bézier Curve ◽  
Curve Form ◽  
Correct Topology

Presented in this paper is an algorithm to compute a Euclidean Voronoi diagram for circles contained in a large circle. The radii of circles are not necessarily equal and no circle inside the large circle wholly contains another circle. The proposed algorithm uses the ordinary point Voronoi diagram for the centers of inner circles as a seed. Then, we apply a series of edge-flip operations to the seed topology to obtain the correct topology for the desired one. Lastly, the equations of edges are represented in a rational quadratic Bézier curve form.

scholarly journals The Application of Quadratic Bezier Curve on Rotational and Symmetrical Lampshade

CAUCHY ◽  
2016 ◽  
Vol 4 (2) ◽  
pp. 100 ◽  
Author(s):  
Erny Octafiatiningsih ◽  
Imam Sujarwo
Keyword(s):  
Main Part ◽  
Major Axis ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Bézier Surfaces ◽  
Bezier Surfaces ◽  
Quadratic Bézier Curve ◽  
Selection Of

The procedure of constructing lampshade is through parameter merger and selection of Bezier surfaces shapeshifters; thus it producesperfect and varied sitting-lampshades.Constructing sitting-lamp shades requires the study of the physical (lighting) and geometryaspects. In terms of geometry, the existed sitting-lampshade creation models is generally monotonous and constructed from objects pieces. In line with these problems, this research is divided into four stages:First, preparing the data to build a sitting-lampshade. Second, technical studying to construct the symmetricity of the sitting-lamp shade shape.Third, constructing the parts of the sitting-lampshade, namely the base, the main part, the roof. Fourth, constructingthe complete sitting-lampshade. The results of this research to obtain the procedures of constructing the sitting-lampshade namely: First, dividing the major axis into three non-homogeneous sub segments.Second, constructing parts of the sitting-lampshade namely the base, the main part, and the roof by combining the sitting-lamp shade components from the geometrical objects deformation.Third, filling each sub segment of non-homogeneous parts with parts of the lampshade and creating the boundary curvesproducing a varied innovative symmetricalmodels of sitting-lampshade.

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