Title
Quad Pillars and Delta Pillars: Algorithms for Converting Dexel Models to Polyhedral Models
Abstract
In the geometric simulation of multi-axis milling, a dexel representation solid model is frequently used. In this modeling method, the object shape is defined as a collection of vertical segments (dexels) based on a two-dimensional regular square grid in the XY plane. In this paper, the authors propose the quad pillars algorithm and its enhanced version named the delta pillars algorithm for converting a dexel model to an equivalent polyhedral stereolithography (STL) model. These algorithms define a series of vertical pillar shapes for each square cell of the grid to represent the object shape as a bundle of pillars. The final polyhedral model is obtained by performing a simplified Boolean union operation of the pillar shapes. Unlike prior methods, the proposed algorithms are simple and fast and are guaranteed to generate a watertight polyhedral model without holes, gaps, or T-junctions. An experimental system is implemented and conversion tests are performed. The system converted a dexel model based on a high-resolution grid to a polyhedral model in a practical amount of time.
Year
DOI
Venue
2017
10.1115/1.4034737
JOURNAL OF COMPUTING AND INFORMATION SCIENCE IN ENGINEERING
Keywords
DocType
Volume
dexel modeling,STL,solid model conversion,geometric modeling,CAD
Journal
17
Issue
ISSN
Citations 
3
1530-9827
0
PageRank 
References 
Authors
0.34
7
2
Name
Order
Citations
PageRank
Masatomo Inui1408.20
Nobuyuki Umezu201.69