A base function for generating contour traversal paths in stereolithography apparatus applications

Authors:
Shuo-Yan Chou;Chang-Chien Chou;Yu-Kumg Chen
Affiliations:
Department of Industrial Management, National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Rd., Taipei City 106, Taiwan, ROC;Department of Industrial Management, National Taiwan University of Science and Technology, No. 43, Sec. 4, Keelung Rd., Taipei City 106, Taiwan, ROC and Department of Information Management, Lungh ...;Department of Electronic Engineering, Huafan University, No. 1, Huafan Rd., Shihding Township, Taipei County 223, Taiwan, ROC
Venue:
Expert Systems with Applications: An International Journal
Year:
2008

Citing 5
Cited 2

Computational geometry: an introduction

Computational geometry: an introduction
Operations research: deterministic optimization models

Operations research: deterministic optimization models
On some geometric optimization problems in layered manufacturing

Computational Geometry: Theory and Applications
Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography

Rapid Prototyping and Manufacturing: Fundamentals of StereoLithography
Apollonian Circle Packings: Geometry and Group Theory I. The Apollonian Group

Discrete & Computational Geometry

Motion planning in order to optimize the length and clearance applying a Hopfield neural network

Expert Systems with Applications: An International Journal
An efficient algorithm for relay placement in a ring sensor networks

Expert Systems with Applications: An International Journal

Quantified Score

Hi-index	12.05

Visualization

Abstract

The technique of layered manufacturing in rapid prototyping is to fabricate product prototype by scanning the cross-sectional contours of the product using a laser beam layer by layer. The outlines of geometrical objects on each layer are different, and each layer may contain several geometrical objects. In order to simplify the problem, each geometrical object on the same plane is approximating by its own minimum circumscribed circle. Therefore, the minimum traversal path of circles can be the based model of the minimum traversal path of scanning geometrical objects. Furthermore, the minimum traversal path of three circles is the degenerated case of the minimum traversal path of plural circles. And the problem of the minimum traversal path of three circles can be transferred to the problem of the minimum traversal path of one circle and two points in this paper. By using the concepts of reflection of light in physics and geometrical mathematics, the equation of the minimum traversal path of three circles is derived in this paper. This equation can be easily implemented in many areas of application, including robotic motion planning and path planning for submarine, ship, and airplane.