Abstract
The generation of tool-paths is regarded as a well-known problem of offsetting curves. For any non-trivial geometry, the robustness of tool-path generation is determined by the reliable curves offset by a tool radius. The curve offset is compact with reliable operations for invalid loop removal between multiple offset curves. An algorithm for reducing 2D Boolean operations to a 1D problem on planar tool-path generation is presented in this paper. Traditional methods are either limited to certain types of polygons with efficient algorithms, or tend to be complicated and time consuming. In order to improve such removal functions, an algorithm based on FLTM (forward locus tracing method) is proposed. FLTM searches for all intervals directly split by intersections of complicate planar curves, transforming 2D transversal intersection problems into 1D interval identifications. This proposed FLTM-based mapping process may simplify interference detections and be implemented on computerised CAD/CAM systems. Examples with multiple profiles are demonstrated. The results show considerable efficiency and reliability in offset operations.
| Original language | English |
|---|---|
| Pages (from-to) | 671-687 |
| Number of pages | 17 |
| Journal | International Journal of Production Research |
| Volume | 49 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 2011 Feb 1 |
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All Science Journal Classification (ASJC) codes
- Strategy and Management
- Management Science and Operations Research
- Industrial and Manufacturing Engineering
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An intersection tracing method for interference-free planar tool-path generation. / Lai, Yuan-Lung.
In: International Journal of Production Research, Vol. 49, No. 3, 01.02.2011, p. 671-687.Research output: Contribution to journal › Article
TY - JOUR
T1 - An intersection tracing method for interference-free planar tool-path generation
AU - Lai, Yuan-Lung
PY - 2011/2/1
Y1 - 2011/2/1
N2 - The generation of tool-paths is regarded as a well-known problem of offsetting curves. For any non-trivial geometry, the robustness of tool-path generation is determined by the reliable curves offset by a tool radius. The curve offset is compact with reliable operations for invalid loop removal between multiple offset curves. An algorithm for reducing 2D Boolean operations to a 1D problem on planar tool-path generation is presented in this paper. Traditional methods are either limited to certain types of polygons with efficient algorithms, or tend to be complicated and time consuming. In order to improve such removal functions, an algorithm based on FLTM (forward locus tracing method) is proposed. FLTM searches for all intervals directly split by intersections of complicate planar curves, transforming 2D transversal intersection problems into 1D interval identifications. This proposed FLTM-based mapping process may simplify interference detections and be implemented on computerised CAD/CAM systems. Examples with multiple profiles are demonstrated. The results show considerable efficiency and reliability in offset operations.
AB - The generation of tool-paths is regarded as a well-known problem of offsetting curves. For any non-trivial geometry, the robustness of tool-path generation is determined by the reliable curves offset by a tool radius. The curve offset is compact with reliable operations for invalid loop removal between multiple offset curves. An algorithm for reducing 2D Boolean operations to a 1D problem on planar tool-path generation is presented in this paper. Traditional methods are either limited to certain types of polygons with efficient algorithms, or tend to be complicated and time consuming. In order to improve such removal functions, an algorithm based on FLTM (forward locus tracing method) is proposed. FLTM searches for all intervals directly split by intersections of complicate planar curves, transforming 2D transversal intersection problems into 1D interval identifications. This proposed FLTM-based mapping process may simplify interference detections and be implemented on computerised CAD/CAM systems. Examples with multiple profiles are demonstrated. The results show considerable efficiency and reliability in offset operations.
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U2 - 10.1080/00207540903160758
DO - 10.1080/00207540903160758
M3 - Article
AN - SCOPUS:78649843321
VL - 49
SP - 671
EP - 687
JO - International Journal of Production Research
JF - International Journal of Production Research
SN - 0020-7543
IS - 3
ER -