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The general mathematical concept embodied in a Wigner–Seitz cell is more commonly called a Voronoi cell, and the partition of the plane into these cells for a given set of point sites is known as a Voronoi diagram. The construction process for the Wigner–Seitz cell of a hexagonal lattice. The cell may be chosen by first picking a lattice ...
Different models of 3D printing tissue and organs. Three dimensional (3D) bioprinting is the use of 3D printing–like techniques to combine cells, growth factors, bio-inks, and biomaterials to fabricate functional structures that were traditionally used for tissue engineering applications but in recent times have seen increased interest in other applications such as biosensing, and ...
Computer-Aided Design (CAD) model used for 3D printing. The manual modeling process of preparing geometric data for 3D computer graphics is similar to plastic arts such as sculpting. 3D scanning is a process of collecting digital data on the shape and appearance of a real object, creating a digital model based on it.
3D printing, or additive manufacturing, is the construction of a three-dimensional object from a CAD model or a digital 3D model. [1] [2] [3] It can be done in a variety of processes in which material is deposited, joined or solidified under computer control, [4] with the material being added together (such as plastics, liquids or powder grains being fused), typically layer by layer.
A slicer is a toolpath generation software used in 3D printing. It facilitates the conversion of a 3D object model to specific instructions for the printer. The slicer converts a model in STL (stereolithography) format into printer commands in G-code format. This is particularly usable in fused filament fabrication and other related 3D printing ...
The circle Hough Transform (CHT) is a basic feature extraction technique used in digital image processing for detecting circles in imperfect images. The circle candidates are produced by “voting” in the Hough parameter space and then selecting local maxima in an accumulator matrix .
A Lie group, such as a one-dimensional circle, may be understood as a smooth manifold with a fixed, highly symmetric geometry. Larger Lie groups, as higher-dimensional manifolds, may be imagined as smooth surfaces composed of many circles (and hyperbolas) twisting around one another.
Fubini's nightmare is a seeming violation of Fubini's theorem, where a nice space, such as the square [,] [,], is foliated by smooth fibers, but there exists a set of positive measure whose intersection with each fiber is singular (at most a single point in Katok's example). There is no real contradiction to Fubini's theorem because despite ...