An offset algorithm for polyline curves

Liu, Xu-Zheng; Yong, Jun-Hai; Zheng, Gangtie; Sun, Jun

doi:10.1016/j.compind.2006.06.002

Cited by 34 publications

(13 citation statements)

References 22 publications

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“…Topological relationships of drawing of distances defining the internal area to the lot where the building can be designed: In CityEngine, by its nature GIS, it acts very adequately in drawing processes that require adjustments of closing of gaps, exclusion of double lines, exclusion dangles and offset polylines curves. The Rhino 3D, by its nature CAD, presented many difficulties in the execution of the setbacks of the polylines of the lots, since it could not perform the offset of untrimmed curves, especially when the polylines were composed of parts of lines, arcs and curves that would require topological adjustments, as explained by Liu et al (2006). However, once identified the problem, a resource was found made available by a user, which demonstrates the advantages of using an application with many users and sharing their studies.…”

Section: Discussionmentioning

confidence: 99%

Comparative Analysis of Geospatial Visualization Tools for Urban Zoning Planning

Benevides¹,

Roquete²,

Moura³

et al. 2018

Blucher Design Proceedings

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Section: Discussionmentioning

confidence: 99%

Comparative Analysis of Geospatial Visualization Tools for Urban Zoning Planning

Benevides¹,

Roquete²,

Moura³

et al. 2018

Blucher Design Proceedings

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“…In an algorithm proposed by Kim and Jeong [9], only two cases of local problems are discussed; global invalid loops are removed by checking the sign of loop area. Liu et al [10] discussed more cases of possible local problems. Their offset algorithm can deal with profile self-intersection, overlapping, and small arc problems.…”

Section: Traditional Offset Methodsmentioning

confidence: 99%

Smooth contour-parallel tool path generation for high-speed machining through a dual offset procedure

Lin

Shen

et al. 2015

Int J Adv Manuf Technol

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In generating a contour-parallel tool path, traditional offset methods usually offer an arc rounding option for superior sharp corners. For the inferior ones, however, they are left untreated. The inferior sharp corners are harmful to high-speed machining (HSM). They should be dealt with when they emerge for the first time; otherwise, they will be further inherited by the offset successors. In this paper, we presented a dual offset procedure to round the inferior sharp corners. For a given path, literally, the procedure conducts two offsets: at first, the path is offset inwards, generating an intermediate curve; then, this curve is further offset outwards, outputting the dual offset curve. The dual offset curve is guaranteed to be smooth. It is used to replace the original path. One side effect of this procedure is that many uncut regions will be left in the corner areas. These uncut regions are detected through a Boolean operation and removed by smooth clearup tool paths. Finally, the dual offset and clear-up tool paths are connected with a set of linking arcs. The proposed smooth tool path generation method is implemented and verified by several examples. Comparative cutting simulations show that this method has a potential to improve the machining efficiency in terms of HSM with nearly a zero cost.

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“…Once the seam line has been identified, the desired path for glue deposition is computed in a similar manner, by exploiting the intersection between suitably defined surfaces and the STL mesh of the shoe upper. The seam contour is scaled inward to generate multiple concentric perimeters on the top surface of the shoe upper (using algorithms derived from computer aided machining, such as [31]). Each scaled contour is projected on the X-Y plane, and a new surface is extruded in the n ideal direction to identify the actual intersection with the top surface of the upper.…”

Section: Slicing Softwarementioning

confidence: 99%

A Feasibility Study of a Robotic Approach for the Gluing Process in the Footwear Industry

et al. 2020

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Manufacturing processes in the shoe industry are still characterized to a large extent by human labour, especially in small and medium craft enterprises. Even when machinery is adopted to support manufacturing operations, in most cases an operator has to supervise or carry out the task. On the other hand, craft footwear industries are called to respond to continuous challenges to face the globalization effects, so that a rapid adaptability to customer needs is required. The industry 4.0 paradigms, which are taking place in the industrial environments, represent an excellent opportunity to improve the efficiency and quality of production, and a way to face international competitors. This paper analyses and proposes a robotic cell to automatize the process of glue deposition on shoe upper, which exploits a new means of depositing the glue compared to State-of-Art applications. While the latter mainly adopt glue gun spraying systems or pneumatic syringes, the proposed robotic cell is based on an extrusion system for the deposition of molten material originally in the form of a filament, similar to all extent to those adopted for Fused Deposition Modeling (FDM). Two cell solutions are designed and tested. In the former the extruder is the robot end effector and the shoe upper is grounded to the cell frame. In the second, being the reciprocal, the shoe last is clamped to the robot wrist and the extruder is fixed to the cell frame. The peculiarities of the two solutions are pointed out and compared in terms of cell layout, hardware, programming software and possibility to develop collaborative applications. A self developed slicing software allows designing the trajectories for glue deposition based on the CAD model of the shoe upper, also allowing driving the inclination of the extruder nozzle with respect to the vectors normal to the upper surface. Both the proposed cell layouts permit to achieve good quality and production times. The solution with the mobile extruder is able to deposit glue at highest end-effector speed (up to 200 mm/s). On the other hand, the solution with the mobile shoe upper and fixed extruder seems to be more appropriate to enhance collaborative applications.

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An offset algorithm for polyline curves

Cited by 34 publications

References 22 publications

Comparative Analysis of Geospatial Visualization Tools for Urban Zoning Planning

Comparative Analysis of Geospatial Visualization Tools for Urban Zoning Planning

Smooth contour-parallel tool path generation for high-speed machining through a dual offset procedure

A Feasibility Study of a Robotic Approach for the Gluing Process in the Footwear Industry

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