A platform for research: civil engineering, architecture and urbanism
A platform for research: civil engineering, architecture and urbanism
An improved computing method for distance between Cubic Bézier curve and corresponding chord
Cubic Bézier curve is one of most basic and important drawing objects in computer graphics, and has wide applications in computer aided geometric design. How to draw curves quickly and accurately is a research direction at present. In traditional drawing algorithms, the distance between cubic Bézier curve and corresponding chord can be approximatively computed with the maximum value of distance between the middle two control points and corresponding chord. In this paper, an improved computing method based on Cauchy Median Theorem is proposed, by which the accurate value can be worked out and the segmentation count can be reduced. The related experiment is carried out for random generated data, the results show that the improved method can reduce the segmentation count and the computing cost meets the demand of pratical application.
An improved computing method for distance between Cubic Bézier curve and corresponding chord
Cubic Bézier curve is one of most basic and important drawing objects in computer graphics, and has wide applications in computer aided geometric design. How to draw curves quickly and accurately is a research direction at present. In traditional drawing algorithms, the distance between cubic Bézier curve and corresponding chord can be approximatively computed with the maximum value of distance between the middle two control points and corresponding chord. In this paper, an improved computing method based on Cauchy Median Theorem is proposed, by which the accurate value can be worked out and the segmentation count can be reduced. The related experiment is carried out for random generated data, the results show that the improved method can reduce the segmentation count and the computing cost meets the demand of pratical application.
An improved computing method for distance between Cubic Bézier curve and corresponding chord
Xinjia Zhang, (author) / Shufen Liu, (author) / Baoguo Yin, (author)
2008-11-01
1178887 byte
Conference paper
Electronic Resource
English
Application of the cubic Bezier spline curve in garment pattern design
| British Library Online Contents | 2006
A Re-Parameterization Transformation of Bezier Curve
| British Library Conference Proceedings | 2013
Fuel Cell Characteristic Curve Approximation Using the Bézier Curve Technique
| DOAJ | 2020
Chord end distance effect on RHS connections
| Elsevier | 2020
The Confined Chord Error Algorithmfor Machining Complex Parametric Curve
| British Library Online Contents | 2011