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The graph shown here appears as a subgraph of an undirected graph if and only if models the sentence ,,,... In the first-order logic of graphs, a graph property is expressed as a quantified logical sentence whose variables represent graph vertices, with predicates for equality and adjacency testing.
Optical coherence tomography (OCT) is a technique that displays images of the tissue by using the backscattered light. [citation needed] Not only conserving the excellence of OCT, doppler optical coherence tomography also combines the doppler effect principle as a whole, which result in tomographic images with high resolution. [1]
The first demonstrations of in vivo OCT imaging quickly followed. [3] [4] [5] The first US patents on OCT by the MIT/Harvard group described a time-domain OCT (TD-OCT) system. [6] [7] These patents were licensed by Zeiss and formed the basis of the first generations of OCT products until 2006.
[43] [2] [44] [45] By 2012, split spectrum amplitude decorrelation was shown to be effective at increasing SNR and decreasing motion artefacts. [37] Commercial OCT-A devices also emerged around this time, beginning with the OptoVue AngioVue in 2014 (SD-OCT) and the Topcon Atlantis/Triton soon after (SS-OCT). [43]
OCT can be used to capture functional images of blood flow, a technique known as optical coherence tomography angiography (OCT-A). SV-OCT is one method for OCT-A that uses the variance of consecutively acquired images to detect flow at the micron scale. SV-OCT can be used to measure the microvasculature of tissue.
The first intravascular in vivo use in a preclinical model was reported in 1994 [6] and first in human, clinical imaging in 2003. [7] The first OCT imaging catheter and system was commercialized by LightLab Imaging, Inc., a company based in Massachusetts formed following a technology transfer in 1997 from Fujimoto's lab (MIT). [8]
An ordered pair of vertices, such as an edge in a directed graph. An arrow (x, y) has a tail x, a head y, and a direction from x to y; y is said to be the direct successor to x and x the direct predecessor to y. The arrow (y, x) is the inverted arrow of the arrow (x, y). articulation point A vertex in a connected graph whose removal would ...
graph union: G 1 ∪ G 2. There are two definitions. In the most common one, the disjoint union of graphs, the union is assumed to be disjoint. Less commonly (though more consistent with the general definition of union in mathematics) the union of two graphs is defined as the graph (V 1 ∪ V 2, E 1 ∪ E 2). graph intersection: G 1 ∩ G 2 ...