Uniform toolpath generation based on conformal mapping and deformation compensation for complex structures.

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Title: Uniform toolpath generation based on conformal mapping and deformation compensation for complex structures.
Authors: Li, Yue-Feng1 (AUTHOR), Wang, Qing-Hui1 (AUTHOR) wqh@scut.edu.cn, Li, Jing-Rong1 (AUTHOR), Zhao, Yi-Jian1 (AUTHOR), Chen, Jun-Long1 (AUTHOR)
Source: International Journal of Advanced Manufacturing Technology. Jan2026, Vol. 142 Issue 1/2, p511-527. 17p.
Subjects: Conformal mapping, Level set methods, Geometric shapes, Surface geometry, Robotic path planning
Abstract: Mapping-based methods for planning toolpaths on mesh surfaces have been developing for years. The issue of existing mapping deformation which results in machining error has not been sufficiently addressed. Moreover, in order to accommodate the variable boundary conditions and local features of complex structures, existing toolpath planning methods have to trim the original surfaces into simple patches or introduce complex invalid loop processing algorithms. This greatly increases the complexity of the algorithm. To handle these, an effective approach for generating uniform toolpath without introducing any additional complex algorithms is proposed. With the approach, conformal mapping is utilized to simplify the toolpath planning computation from three-dimensional (3D) space into two-dimensional (2D) domain; an improved level-set offset algorithm is developed for generating uniform toolpaths with arbitrary initial boundaries; and a partition algorithm is further developed that is capable of generating the regional contours without modifying the original mesh for better toolpath performance. Case studies have been carried out and demonstrated that the proposed approach can generate more compatible toolpath patterns for complex structures, which can save the total length at most 44% with same scallop height constraint. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Advanced Manufacturing Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Uniform toolpath generation based on conformal mapping and deformation compensation for complex structures.
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Advanced+Manufacturing+Technology%22">International Journal of Advanced Manufacturing Technology</searchLink>. Jan2026, Vol. 142 Issue 1/2, p511-527. 17p.
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  Data: <searchLink fieldCode="DE" term="%22Conformal+mapping%22">Conformal mapping</searchLink><br /><searchLink fieldCode="DE" term="%22Level+set+methods%22">Level set methods</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+shapes%22">Geometric shapes</searchLink><br /><searchLink fieldCode="DE" term="%22Surface+geometry%22">Surface geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Robotic+path+planning%22">Robotic path planning</searchLink>
– Name: Abstract
  Label: Abstract
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  Data: Mapping-based methods for planning toolpaths on mesh surfaces have been developing for years. The issue of existing mapping deformation which results in machining error has not been sufficiently addressed. Moreover, in order to accommodate the variable boundary conditions and local features of complex structures, existing toolpath planning methods have to trim the original surfaces into simple patches or introduce complex invalid loop processing algorithms. This greatly increases the complexity of the algorithm. To handle these, an effective approach for generating uniform toolpath without introducing any additional complex algorithms is proposed. With the approach, conformal mapping is utilized to simplify the toolpath planning computation from three-dimensional (3D) space into two-dimensional (2D) domain; an improved level-set offset algorithm is developed for generating uniform toolpaths with arbitrary initial boundaries; and a partition algorithm is further developed that is capable of generating the regional contours without modifying the original mesh for better toolpath performance. Case studies have been carried out and demonstrated that the proposed approach can generate more compatible toolpath patterns for complex structures, which can save the total length at most 44% with same scallop height constraint. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of International Journal of Advanced Manufacturing Technology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00170-025-16968-9
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      – Code: eng
        Text: English
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        PageCount: 17
        StartPage: 511
    Subjects:
      – SubjectFull: Conformal mapping
        Type: general
      – SubjectFull: Level set methods
        Type: general
      – SubjectFull: Geometric shapes
        Type: general
      – SubjectFull: Surface geometry
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      – SubjectFull: Robotic path planning
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      – TitleFull: Uniform toolpath generation based on conformal mapping and deformation compensation for complex structures.
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            NameFull: Li, Yue-Feng
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            NameFull: Wang, Qing-Hui
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            NameFull: Li, Jing-Rong
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            NameFull: Zhao, Yi-Jian
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            NameFull: Chen, Jun-Long
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              M: 01
              Text: Jan2026
              Type: published
              Y: 2026
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