CONSTRAINED INTERPOLATION USING BÉZIER CURVES AS A NEW TOOL IN COMPUTER AIDED GEOMETRIC DESIGN

1974 ◽  
pp. 153-172 ◽  
Author(s):  
R.F. Wielinga
Keyword(s):  
Geometric Design ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Constrained Interpolation ◽  
Computer Aided Geometric Design ◽  
Computer Aided

scholarly journals APLIKASI KURVA BEZIER PADA DESAIN BOTOL MINUMAN

2020 ◽  
Vol 20 (1) ◽  
pp. 1
Author(s):  
Muhammad Bagus Firman Triadi ◽  
Bagus Juliyanto ◽  
Firdaus Ubaidillah
Keyword(s):  
Research Method ◽  
Geometric Design ◽  
The Body ◽  
Bézier Curve ◽  
Bezier Curve ◽  
Bezier Curves ◽  
Bézier Curves ◽  
Computer Aided Geometric Design ◽  
Symmetrical Shape ◽  
Computer Aided

The beverage bottle consists of several parts. There are mouth, neck, shoulders and body of the beverage bottle. This study aims to modeled the shape of the beverage bottles use Bezier curves with degrees less than or equal to six (n ≤ 6), for obtain a varied and symmetrical shape of the beverage bottles. This research method are divided into several stages. First, modeled the mouth of the beverage bottle. Second, modeled the neck of the beverage bottle. Third, modeled the body of the beverage bottle. Fifth, combined the parts of the beverage bottle. The results of this study was obtained a procedure for modeled varied and symmetrical beverage bottles using Bezier curves with degrees less than or equal to six (n ≤ 6). Keywords: Beverage Bottle, Bezier Curve, Computer Aided Geometric Design

scholarly journals Conversion Between Cubic Bezier Curves and Catmull–Rom Splines

2021 ◽  
Vol 2 (5) ◽  
Author(s):  
Soroosh Tayebi Arasteh ◽  
Adam Kalisz
Keyword(s):  
Computer Graphics ◽  
Geometric Design ◽  
The Other ◽  
Control Points ◽  
Complex Surfaces ◽  
Linear Transformations ◽  
Computer Aided Geometric Design ◽  
Cubic Curves ◽  
Original Curve ◽  
Computer Aided

AbstractSplines are one of the main methods of mathematically representing complicated shapes, which have become the primary technique in the fields of Computer Graphics (CG) and Computer-Aided Geometric Design (CAGD) for modeling complex surfaces. Among all, Bézier and Catmull–Rom splines are the most common in the sub-fields of engineering. In this paper, we focus on conversion between cubic Bézier and Catmull–Rom curve segments, rather than going through their properties. By deriving the conversion equations, we aim at converting the original set of the control points of either of the Catmull–Rom or Bézier cubic curves to a new set of control points, which corresponds to approximately the same shape as the original curve, when considered as the set of the control points of the other curve. Due to providing simple linear transformations of control points, the method is very simple, efficient, and easy to implement, which is further validated in this paper using some numerical and visual examples.

Kinematically Generated Dual Tensor-Product Surfaces

1998 ◽  
Author(s):  
Q. J. Ge ◽  
D. Kang ◽  
M. Sirchia
Keyword(s):  
Tensor Product ◽  
Geometric Design ◽  
Computer Aided Geometric Design ◽  
Freeform Surfaces ◽  
Computer Aided ◽  
Design And Manufacture ◽  
Two Parameter

Abstract This paper takes advantage of the duality between point and plane geometries and studies a class of tensor-product surfaces that can be generated kinematically as surfaces enveloped by a plane under two-parameter rational Bézier motions. The results of this cross-disciplinary work, between the field of Computer Aided Geometric Design and Kinematics, can be used as a basis for studying geometric and kinematic issues associated with the design and manufacture of freeform surfaces.

Computer Aided Geometric Design of Two-Parameter Freeform Motions

1999 ◽  
Vol 121 (4) ◽  
pp. 502-506 ◽  
Author(s):  
Q. J. Ge ◽  
M. Sirchia
Keyword(s):  
Computer Aided Design ◽  
Control Structure ◽  
Geometric Design ◽  
Computer Aided Geometric Design ◽  
Kinematic Control ◽  
Computer Aided ◽  
Cad Cam ◽  
Aided Design ◽  
Two Parameter ◽  
And Robotics

This paper brings together the notion of analytically defined two-parameter motion in Theoretical Kinematics and the notion of freeform surfaces in Computer Aided Geometric Design (CAGD) to develop methods for computer aided design of two-parameter freeform motions. In particular, a rational Be´zier representation for two-parameter freeform motions is developed. It has been shown that the trajectory surface of such a motion is a tensor-product rational Be´zier surface and that such a kinematically generated surface has a geometric as well as a kinematic control structure. The results have not only theoretical interest in CAGD and kinematics but also applications in CAD/CAM and Robotics.

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