Tool Path Generation Based on B-Spline Wavelets

2001 ◽  
Author(s):  
Ranga Narayanaswami ◽  
Junhua Pang
Keyword(s):  
Tool Path ◽  
Fundamental Problem ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Algebraic Complexity ◽  
Path Generation ◽  
Object Boundary ◽  
Machined Surface ◽  
Novel Approach ◽  
Offset Curves

Abstract Tool path generation is a fundamental problem in numerical control machining. Typical methods used for machining 2.5D objects include generation of offset contours using trimmed offset curves and zigzag sequences. The offset contours result in unnecessary detailed curves far away from the object boundary. The zigzag sequences result in frequent stops and changes in tool direction. In this paper we present a novel approach for tool path generation based on wavelet theory. The theory of wavelets naturally leads to a simple cut sequence algorithm that provides valid and efficient coverage of the machined surface. The classical analytical and algebraic complexity in tool path planning is also reduced. In this paper, curves are represented by endpoint interpolating B-splines and their corresponding wavelets. Design and manufacturing examples are also presented in this paper.

Tool Path Optimization of 2D Contour Considering Stock Boundary

2012 ◽  
Vol 251 ◽  
pp. 169-172
Author(s):  
Fu Zhong Wu
Keyword(s):  
Present Method ◽  
Tool Path ◽  
Three Dimensional ◽  
Boundary Curve ◽  
Tool Path Generation ◽  
Path Optimization ◽  
Path Generation ◽  
Offset Curves ◽  
Measuring Machine ◽  
Tool Diameter

Based on analyzing the existing algorithms, a novel tool path generation of 2D contour considering stock boundary is presented. Firstly the boundary points of stock are obtained by three-dimensional measuring machine. And the boundary curve is constructed by method of features identifying. The stock boundary is offset toward outside with tool diameter. An enclosed region is formed between the contour curves and the offset curves of stock boundary. The tool path is generated by form of parallel spiral by offsetting the stock boundary in the enclosed region. Finally the validity of present method is demonstrated by an example.

Tool Path Generation for 5-Axis Rough Cutting Using Haptic Device

2020 ◽  
Vol 14 (5) ◽  
pp. 808-815
Author(s):  
Koichi Morishige ◽  
Satoshi Mori ◽  
◽  
Keyword(s):  
Tool Path ◽  
Cutting Tool ◽  
Control Program ◽  
Target Object ◽  
Tool Path Generation ◽  
Haptic Device ◽  
Numerical Control ◽  
Path Generation ◽  
Haptic Devices ◽  
Tool Paths

CAM software is generally used to generate tool paths for 5-axis controlled machining. However, adjusting its several parameters and settings is difficult. We propose a system for tool path generation to be applied to 5-axis controlled machining. The system allows machining movements to be established by manipulating haptic devices in a virtual environment. Therefore, the cutter location for 5-axis machining can be easily controlled by operating a virtual cutting tool. The contact between the cutting tool and the target shape is reflected to the user through the haptic device. The generated path can be converted into a numerical control program for the actual machining of the target object. We detail the implementation of the proposed interface using two haptic devices and a method of tool path generation that improves rough cutting by smoothing the generated cutting points and simplifying the tool postures. The effectiveness of the developed system is confirmed through machining simulations.

Tool path generation for ultra-precision polishing of freeform optical surfaces in an off-axis three-mirror imaging system

2015 ◽  
Vol 231 (5) ◽  
pp. 814-824 ◽  
Author(s):  
Dengpeng Huang ◽  
Lei Zhang ◽  
Shijun Ji ◽  
Ji Zhao
Keyword(s):  
Tool Path ◽  
Imaging System ◽  
Concentric Circle ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Path Generation ◽  
Freeform Surfaces ◽  
Primary Mirror ◽  
Tool Paths ◽  
Ultra Precision

The optical performance of the off-axis three-mirror imaging system can be greatly improved using freeform surfaces. This article focuses on the polishing of the primary mirror and tertiary mirror in an off-axis three-mirror imaging system. The primary mirror and tertiary mirror are fabricated on one monolithic substrate and described by non-uniform rational B-spline–based freeform surfaces. The separated and integrated polishing strategies are presented for polishing the two mirrors on the four-axis computer numerical control polishing platform. A tool path generation approach is proposed for polishing of the non-uniform rational B-spline–based freeform surface. Three kinds of the tool paths are given for ultra-precision polishing of the primary mirror and tertiary mirror with the freeform surfaces. The concentric circle path and the approximately concentric circle path are generated for polishing two mirrors separately, while the spiral path is calculated for integrated polishing of two mirrors simultaneously. The polishing tool posture along the planned tool paths is also analyzed. The ultra-precision polishing experiments of the primary mirror and tertiary mirror on the four-axis computer numerical control polishing platform are performed to verify the proposed approach for tool path generation.

Study on Tool-Path Generation for Ultra-Precision Machining of Optical Lens Array

2012 ◽  
Vol 516 ◽  
pp. 595-599
Author(s):  
Kui Liu ◽  
Pei Ling Liu ◽  
Hu Wu ◽  
Kah Chuan Shaw
Keyword(s):  
Tool Path ◽  
Cutting Tool ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Precision Machining ◽  
Path Generation ◽  
Software Platform ◽  
Optical Lens ◽  
Lens Array ◽  
Ultra Precision

In this study, a computer numerical control (CNC) programming software platform for ultra precision machining of optical surfaces was developed based on an MS Windows application framework and openGL. Using cylindrical coordinates, the tool path can be generated based on the polar angle, radius and a linear coordinate of the Z-axis, as well as cutting tool nose radius compensation. A 3D simulation based on tool path generation was developed for machining verification, which largely reduces the oscillation of the machine during the ultra precision machining process. Ultra precision machining of an optical lens array was carried out on a 5-axis ultra precision machining centre using a single crystalline diamond cutter. The experimental results indicated that the oscillation effect can be largely reduced using the cutting tool path using a super steady machining strategy. This software platform is designed as a framework, where the capability and functions can be expanded by adding in more freeform surface packages.

System Design of Numerical Control Turret Press Based on Motion Controller

2013 ◽  
Vol 655-657 ◽  
pp. 1317-1320
Author(s):  
Yi Gang Du ◽  
Wen Zhi Zhang ◽  
Ying Han Liu ◽  
Zhao Hui Jin
Keyword(s):  
System Design ◽  
Program Development ◽  
Tool Path ◽  
Processing System ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Path Generation ◽  
Motion Controller ◽  
Module Design ◽  
Coding Circuit

According to the characteristics and requirements of NCT processing system, deeper research was done on the system. The three-module design has been completed based on motion controller. The first module is completed on the design of panel, key position, machine functions and coding circuit; the second module is mainly accomplished on the tool-path generation, tool adapter and program development; the last module is used to verify the NC codes. Thus the NCT processing system is improved effectively.

scholarly journals Spiral Tool Path Generation Method on Mesh Surfaces Guided by Radial Curves

2018 ◽  
Vol 140 (7) ◽  
Author(s):  
Jinting Xu ◽  
Yukun Ji ◽  
Yuwen Sun ◽  
Yuan-Shin Lee
Keyword(s):  
High Speed ◽  
Tool Path ◽  
Interpolation Method ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Path Generation ◽  
Cnc Milling ◽  
Tool Paths ◽  
Spiral Tool Path ◽  
Mesh Surface

This paper presents a new spiral smoothing method to generate smooth curved tool paths directly on mesh surfaces. Spiral tool paths are preferable for computer numerical control (CNC) milling, especially for high-speed machining. At present, most spiral tool path generation methods aim mainly for pocketing, and a few methods for machining complex surface also suffer from some inherent problems, such as selection of projecting direction, preprocessing of complex offset contours, easily affected by the mesh or mesh deformation. To address the limitations, a new spiral tool path method is proposed, in which the radial curves play a key role as the guiding curves for spiral tool path generation. The radial curve is defined as one on the mesh surface that connects smoothly one point on the mesh surface and its boundary. To reduce the complexity of constructing the radial curves directly on the mesh surface, the mesh surface is first mapped onto a circular region. In this region, the radial lines, starting from the center, are planned and then mapped inversely onto the mesh surface, thereby forming the desired radial curves. By traversing these radial curves using the proposed linear interpolation method, a polyline spiral is generated, and then, the unfavorable overcuts and undercuts are identified and eliminated by supplementing additional spiral points. Spline-based technique of rounding the corners is also discussed to smooth the polyline spiral, thereby obtaining a smooth continuous spiral tool path. This method is able to not only greatly simplify the construction of radial curves and spiral tool path but also to have the ability of processing and smoothing complex surfaces. Experimental results are presented to validate the proposed method.

Computer-integrated optics design and tool path generation in virtual machining of aspheric surfaces

2003 ◽  
Vol 217 (9) ◽  
pp. 1285-1294 ◽  
Author(s):  
W B Lee ◽  
D Gao ◽  
C F Cheung ◽  
J G Li
Keyword(s):  
Integrated Optics ◽  
Tool Path ◽  
Tool Path Generation ◽  
Numerical Control ◽  
Design Parameters ◽  
Path Generation ◽  
Nc Program ◽  
Computer Aided ◽  
Design Software ◽  
Optics Design

This paper presents an integrated optics design and tool path generation system for the design and manufacture of aspheric optics. The optics design is accomplished by a computer aided optics design software which allows the simulation, evaluation and optimization of the performance of the optical system without the need to make a real prototype. The required optical surface is automatically translated into its corresponding numerical control (NC) program based on a tool path generator. The output of the system is a set of optimized optics design parameters, verified NC program and cutting condition. The tool path program can be generated directly from computer-aided optical design software without the need for any manual data post-processing and can be verified by an expensive trial cutting test.

3D Shape-Generating Processes and the G-Buffer Modeling for CNC Machining

1999 ◽  
Author(s):  
Chuang-Jang Chiou ◽  
Yuan-Shin Lee
Keyword(s):  
Error Analysis ◽  
Tool Path ◽  
Tool Path Generation ◽  
Cnc Machining ◽  
Path Generation ◽  
Machined Surface ◽  
New Approach ◽  
Surface Error ◽  
3D Shape ◽  
Tool Motion

Abstract In this paper, a new approach is presented to construct the G-buffer models by finding 3D shape-generating profiles of milling cutters. The G-buffer method is commonly used in 3-axis machining verification. In this paper, the analytic 3D shape-generating profiles are formulated to construct the swept envelope in 5-axis tool motion. The 5-axis machining G-buffer model is updated by the constructed swept envelope. The techniques presented in this paper can be used for 5-axis tool path generation and the machined surface error analysis.

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