Image Analysis and Mathematical Morphology
Image Analysis and Mathematical Morphology
Surface area estimation of digitized 3D objects using weighted local configurations
Image and Vision Computing
Estimation of surface area and surface area measure of three-dimensional sets from digitizations
Image and Vision Computing
Surface area estimation of digitized 3D objects using quasi-Monte Carlo methods
Pattern Recognition
Frequency domain regularization of d-dimensional structure tensor-based directional fields
Image and Vision Computing
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The intrinsic volumes – in 3d up to constants volume, surface area, integral of mean curvature, and Euler number – are a very useful set of geometric characteristics Combining integral and digital geometry we develop a method for efficient simultanous calculation of the intrinsic volumes of sets observed in binary images In order to achieve consistency in the derived intrinsic volumes for both foreground and background, suitable pairs of discrete connectivities have to be used To make this rigorous, the concepts discretization w.r.t an adjacency system and complementarity of adjacency systems are introduced.