Research on a New Linear Interpolation Algorithm of NURBS Curve

2013 ◽  
Author(s):  
Li Lijun ◽  
Bai Weitao ◽  
Sun Wei
Keyword(s):  
Linear Interpolation ◽  
Interpolation Algorithm ◽  
Nurbs Curve

Research and Realization of a New Curve Grinding Method

2009 ◽  
Vol 16-19 ◽  
pp. 1305-1309
Author(s):  
Tian Zhong Sui ◽  
Lei Wang ◽  
Wen Bo Zhang ◽  
Di Sun
Keyword(s):  
Contact Zone ◽  
Contact Point ◽  
Linear Interpolation ◽  
Grinding Wheel ◽  
Central Plane ◽  
Interpolation Algorithm ◽  
Contact Points ◽  
Grinding Method ◽  
The Given ◽  
Nc Grinding

The curve NC grinding methods in presnet are analyzed. On the basis of this, a new curve NC grinding method―region contact grinding (RCG) method is proposed. With this method, the contact point between grinding wheel and workpiece can be controlled in the given contact zone. The problom of grinding wheel's distortion which is produced by contact point excessively deviating from symmetrical central plane of grinding wheel can be overcome. In order to the grinding mode, a new interpolation algorithm―region equiangular linear interpolation (RELI) is proposed. Namely, in terms of the convex-concave property of processing curve, some grinding regions are divided. In each grinding region, the grinding wheel's swing angle within each interpolation cycle is evenly distributed. Thereby, in the process of grinding a convex-concave curve, grinding wheel's contact points totally locate in the range of contact zone angle.

A Multi-Objective Coordinated Control Oriented New Algorithm for NURBS Curve Interpolation

2011 ◽  
Vol 305 ◽  
pp. 80-87
Author(s):  
Zi Hua Hu ◽  
You Ren Zhan ◽  
Man Ke Gao
Keyword(s):  
Machine Tools ◽  
Coordinated Control ◽  
Experimental Simulation ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
Chord Error ◽  
Multi Objective ◽  
Machining Quality ◽  
Curve Interpolation ◽  
Nurbs Interpolation

The coordinated control of machining quality and efficiency is the ultimate goal for the next generation NURBS curve interpolation algorithm. Recently, the existing researches on NURBS curve interpolation algorithm mainly focus on chord error, feedrate, machine tools acceleration/deceleration capability, but the reasonable matching between multi-objective’s parameter and error redundancy coordinated control has not been considered yet. Therefore, a new NURBS interpolation algorithm is proposed with multi-objective coordinated control in this paper, which does not only consider chord error, error redundancy, acceleration/deceleration capability of machine tools, real-time ability simultaneously, but also satisfy the reasonable matching between multi-objective’s parameter and error redundancy coordinated control. The results of experimental simulation indicate that the obtained new NURBS interpolation algorithm is reliable, and the coordinated control ability of machining quality and efficiency is improved obviously.

The Research of NURBS Curve Interpolation Algorithm Based on Parabolic and the First-Order Taylor Expansion Interpolation Algorithm

2014 ◽  
Vol 1003 ◽  
pp. 260-263
Author(s):  
Zhi Qiang Zhang ◽  
Wen Jin Wang ◽  
Jing Zhang ◽  
Jian Zhao ◽  
Li Ying Sun ◽  
...  
Keyword(s):  
Surface Quality ◽  
Taylor Expansion ◽  
Interpolation Error ◽  
Interpolation Algorithm ◽  
Nurbs Curve ◽  
First Order ◽  
Parabolic Interpolation ◽  
Curve Interpolation ◽  
Part Surface ◽  
Current Point

The NURBS curve interpolation algorithm based on parabolic interpolation error and the first-order Taylor expansion interpolation algorithm is proposed to improve part surface quality and chord error of NURBS curve interpolation algorithm. The part surface quality is improved effectively by the parabolic interpolation algorithm in the conduction that the previous point, the current point and the next point which was computed by the first order Taylor expansion interpolation algorithm were known. The effectiveness of this algorithm is proved by the NURBS curve interpolation simulation.

Research on Interpolation Algorithm for DSSS Signal Receiver

2013 ◽  
Vol 313-314 ◽  
pp. 1279-1284
Author(s):  
Zhi Qun Yang
Keyword(s):  
Spread Spectrum ◽  
Test Performance ◽  
Optimal Algorithm ◽  
Linear Interpolation ◽  
Direct Sequence Spread Spectrum ◽  
Signal Acquisition ◽  
Interpolation Algorithm ◽  
Effective Technique ◽  
Parallel Acquisition ◽  
Data Points

For Direct Sequence Spread Spectrum (DSSS) receiver, a parallel acquisition algorithm based on FFT-IFFT is proposed to improve speed of the DSSS signal acquisition. In order to ensure the FFT data points is equal to a power of 2(2N), Interpolation Algorithm is always used. In this paper, three interpolation algorithms are introduced in detail, and they are analyzed theoretically and compared by quantitative simulation, the resources occupied and test performance verification. We draw the conclusion that the linear interpolation is the optimal algorithm which offers the effective technique for the implementation of DSSS signal receiver.

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