Table 1

Literature review with the main works about non-planar slicing

Iso-parametricOptimizationGeodesic
PaperContourFilledContourFilledGoals/FunctionalsContourFilledProcessSetupNotes
(Chalvin et al., 2019)X      FDMRobotTorus study LTV between iso-v parametrization and multi-axis
(Chalvin, 2021)X X LTV optimization  FDMRobotWork comparing different numerical methods in torus contour
(Flores et al., 2019)   XLTV optimization  DEDRobotHybrid approach to keep constant LT
(Ezair et al., 2018) X  Surface quality and properties  FDM3-DoF printerIso-parametrization for cutting surfaces. No overhang considerations. No orientation
(Jayakody et al., 2022)   XSupport-free, collision-free, volumetric error  FDMRobotHigh genus geometries study and collision-free. Parallel contour infill
(Maity et al., 2023)   XSurface quality  FDM3-DoF printerNonplanar conformal printing
(Xu et al., 2019)      XFDMRobotGeodesic distance field slicing with parallel contour infill
(Mitropoulou et al., 2020)     X FDMRobotComplex shapes with geodesic distance averaged
(Mitropoulou et al., 2022)     X FDMRobotStudy of bifurcation using geodesic distance
(Feng et al., 2021)     X FDM5-DoF printerGeodesic slicing for improving surface quality and mechanical properties in thin-walled structures
(Shan et al., 2023)      XFDM5-DoF printerGeodesic based on heat method
(Fortunato et al., 2023)   XSurface quality, printing time  FDMRobotHybrid approach of planar/non-planar. Conformal printing for surface quality. Planar for filling
(Lettori et al., 2024)   XSurface quality  SIMULATIONRobotHybrid approach planar/cylindrical conical
(Zhang et al., 2022)   XMulti-objective optimization between surface quality, supportless, strength  FDMRobotTetrahedral meshes inputs for generating volume decomposition through complex optimization methods
Source: Authors’ own work
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