Study on Five-Axis NURBS Path Generation Method and Direct-Interpolation for CNC System

2014 ◽  
Vol 621 ◽  
pp. 162-166
Author(s):  
Hui Ying Li ◽  
Liang Ji Chen
Keyword(s):  
Interpolation Method ◽  
Spline Interpolation ◽  
Experimental Result ◽  
Path Generation ◽  
B Spline ◽  
Tool Paths ◽  
Controlling System ◽  
Five Axis ◽  
The Impact ◽  
Five Axes

In this article, a new method with Non-Uniform Rational B-Spline (NURBS) technology is presented and realized in a location and federate controlling system. In the method, the tool paths and the cutter locations (CL) were represented into NURBS curves based on the same knot vector. The above CL data was firstly calculated and then transformed to five motion commands of five axes of machine through the real-time post-procession algorithm. The acceleration/deceleration controlling method is also presented to avoid the impact of machine. The proposed 5-axis spline interpolation method is realized and the experimental result of machining shows that the method is valid.

Study on Tool Path Generation and Direct Interpolation Method

2014 ◽  
Vol 945-949 ◽  
pp. 1657-1660
Author(s):  
Liang Ji Chen ◽  
Hui Ying Li ◽  
Hai Jun Zhang
Keyword(s):  
Complex Shape ◽  
Tool Path ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Experimental Result ◽  
Tool Paths ◽  
Nurbs Curves ◽  
Controlling System ◽  
The Impact ◽  
Five Axes

At present, Non-Uniform Rational B-Spline (NURBS) curves are mostly used to generate arbitrary contour of a complex shape in the CAD field. In this article, a new method with NURBS technology is presented and realized in a location and federate controlling system. In the method, the tool paths and the cutter locations (CL) were represented into NURBS curves based on the same knot vector. The above CL data was firstly calculated and then transformed to five motion commands of five axes of machine through the real-time post-procession algorithm. The acceleration/deceleration controlling method is also presented to avoid the impact of machine. The proposed 5-axis spline interpolation method is realized and the experimental result of machining shows that the method is valid.

Study of The Tool Path Generation Method of an Ultra-Precision Spherical Complex Surface Based on a Five-Axis Machine Tool

2021 ◽  
Author(s):  
Tianji Xing ◽  
Xuesen Zhao ◽  
Zhipeng Cui ◽  
Rongkai Tan ◽  
Tao Sun
Keyword(s):  
Surface Roughness ◽  
Tool Path ◽  
Spherical Surface ◽  
Tool Path Generation ◽  
Path Generation ◽  
Tool Paths ◽  
Spherical Surfaces ◽  
Spherical Complex ◽  
Ultra Precision ◽  
Five Axis

Abstract The improvement of ultra-precision machining technology has significantly boosted the demand for the surface quality and surface accuracy of the workpieces to be machined. However, the geometric shapes of workpiece surfaces cannot be adequately manufactured with simple plane, cylindrical, or spherical surfaces because of their different applications in various fields. In this research, a method was proposed to generate tool paths for the machining of complex spherical surfaces based on an ultra-precise five-axis turning and milling machine with a C-Y-Z-X-B structure. Through the proposed tool path generation method, ultra-precise complex spherical surface machining was achieved. First, the complex spherical surface model was modeled and calculated, and then it was combined with the designed model to generate the tool path. Then the tool paths were generated with a numerically controlled (NC) program. Based on an ultra-precision three-coordinate measuring instrument and a white light interferometer, the machining accuracy of a workpiece surface was characterized, and t[1]he effectiveness of the provided tool path generation method was verified. The surface roughness of the machined workpiece was less than 90 nm. Furthermore, the surface roughness within the spherical region appeared to be less than 30 nm. The presented tool path generation method in this research produced ultra-precision spherical complex surfaces. The method could be applied to complex spherical surfaces with other characteristics.

Image Interpolation Algorithm Based on Edge Features

2011 ◽  
Vol 50-51 ◽  
pp. 564-567
Author(s):  
Yun Feng Yang ◽  
Xiao Guang Wei ◽  
Zhi Xun Su
Keyword(s):  
Interpolation Method ◽  
Spline Interpolation ◽  
Weighted Average ◽  
Image Interpolation ◽  
Interpolation Process ◽  
Edge Information ◽  
B Spline ◽  
Interpolation Methods ◽  
Distance Weighted ◽  
Edge Features

Image interpolation is used widely in the computer vision. Holding edge information is main problem in the image interpolation. By using bilinear and bicubic B-spline interpolation methods, a novel image interpolation approach was proposed in this paper. Firstly, inverse distance weighted average method was used to reduce image’s noise. Secondly, edge detection operator was used to extract image's edges information. It can help us to select different interpolation methods in the image interpolation process. Finally, we selected bilinear interpolation approach at non-edge regions, and bicubic B-spline interpolation method was used near edges regions. Further more, control vertexes were computed from pixels with calculation formula which has been simplified in the B-spline interpolation process. Experiments showed the interpolated image by the proposed method had good vision results for it could hold image's edge information effectively.

Gait Planning of Humanoid Robot Based on ZMP and Cubic Spline Interpolation

2013 ◽  
Vol 427-429 ◽  
pp. 1394-1397 ◽  
Author(s):  
Xian Lun Wang ◽  
Ping Li ◽  
Fei Qi Yang
Keyword(s):  
Humanoid Robot ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Cubic Spline ◽  
Smooth Transition ◽  
Cubic Spline Interpolation ◽  
Gait Planning ◽  
Inverted Pendulum Model ◽  
Point Equation ◽  
The Impact

Teaching programming and manual programming are usually used to realize gait planning of humanoid robot. Many methods are lack of the adjustment of center of gravity and lead to the robot walking instability. The gait planning of humanoid robot is solved based on the Linear Inverted Pendulum Model and Zero Moment Point equation in this paper. Two feet trajectories are also planned to realize the smooth transition and overcome the impact during walking with the cubic spline interpolation method. The validation and feasibility of the method proposed in the paper are proved by the results of simulation and experiments.

Non-parametric approaches to the impact of Holstein heifer growth from birth to insemination on their dairy performance at lactation one

2012 ◽  
Vol 151 (4) ◽  
pp. 578-589 ◽  
Author(s):  
C. SAUDER ◽  
H. CARDOT ◽  
C. DISENHAUS ◽  
Y. LE COZLER
Keyword(s):  
Growth Performance ◽  
Milk Yield ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Parametric Modelling ◽  
Clustering Methods ◽  
Dairy Goats ◽  
Model Animal ◽  
The Impact ◽  
Non Parametric

SUMMARYParametric approaches have been used widely to model animal growth and study the impact of growth profile on performance. Individual variation is often not considered in such approaches. However, non-parametric modelling allows this. Such an approach, based on spline functions, was used to study the importance of growth profiles from age 0 to 15 months (i.e. insemination) on milk yield and composition in primiparous cows. A dataset of 447 heifers was used for analysis of growth performance; 296 of them were also used to study impact on lactation. All of them originated from a French experimental herd and were born between 1986 and 2006. Clustering methods were also tested. Comparison of spline methods showed that a cubic spline interpolation method, with no smoothing parameter, was best suited to studying heifer growth. Similarly, partitioning around medoids proved the most accurate clustering method for classifying heifer growth into groups. The results of these analyses agreed with those previously published, supporting the utility of these methods. A final study on the impact of breakdowns in the growth curves was performed. A breakdown was considered only when the derivative of the interpolation function was negative or zero. Of the 447 heifers initially used, 125 (Gr0), 175 (Gr1) and 147 (Gr2) had no, one, or two or more breakpoints during the 0–15 months of age period. Milk yield on a 305 d basis was significantly reduced with an increased number of breakpoints (6548v.6828 and 6905 kg for Gr2, Gr1 and Gr0 animals, respectively). Fat content was also higher in Gr2 than in Gr0 groups, but overall, no difference in total fat or protein-corrected milk production was noted. The intersection between groups for growth and groups for breakdowns confirmed that animals with two or more breakdowns belonged more frequently to the group with the lowest growth performance. These results offer the possibility of analysing large databases, originating from an automatic collecting system (e.g. milking robots) or from different herds, breeds, genetics, etc. These approaches could also be used for studies on body score index, girth development, lactation profiles, etc. and in other species, such as dairy goats or beef cattle. They could find use in the development of new models of prediction, e.g. the probability of heat appearance on an animal basis, which could be included among useful management tools.

scholarly journals Improved Estimation of Pollutant Emission Rate in an Ocean Pollutant Diffusion Model by the Application of Spline Interpolation with the Adjoint Method

2018 ◽  
Vol 35 (10) ◽  
pp. 1961-1975 ◽  
Author(s):  
Xiaolong Zong ◽  
Haidong Pan ◽  
Yongzhi Liu ◽  
Xianqing Lv
Keyword(s):  
Diffusion Model ◽  
Numerical Experiments ◽  
Adjoint Method ◽  
Emission Rate ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Pollutant Emission ◽  
Time Varying ◽  
The Impact ◽  
Pollutant Diffusion

AbstractThe spline interpolation method is applied to the inversion of the time-varying pollutant emission rate based on an ocean pollutant diffusion model with the adjoint method. A series of numerical experiments are performed to compare the spline interpolation with the Cressman interpolation. Experimental results show that the spline interpolation improves the inversion results in terms of the smoothness and accuracy. Furthermore, it is the advantages of spline interpolation—better resistance to the impact of errors and demand for fewer observations—that give rise to a better performance in practice.

Bicubic B-spline interpolation method for two-dimensional heat equation

2015 ◽  
Author(s):  
Nur Nadiah Abd. Hamid ◽  
Ahmad Abd. Majid ◽  
Ahmad Izani Md. Ismail
Keyword(s):  
Heat Equation ◽  
Interpolation Method ◽  
Spline Interpolation ◽  
Two Dimensional ◽  
B Spline
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