In physics, the phase problem is the problem of loss of information concerning the phase that can occur when making a physical measurement. The name comes from the field of X-ray crystallography, where the phase problem has to be solved for the determination of a structure from diffraction data.[1] The phase problem is also met in the fields of imaging and signal processing.[2] Various approaches of phase retrieval have been developed over the years.
^Taylor, Garry (2003-11-01). "The phase problem". Acta Crystallographica Section D. 59 (11): 1881–1890. doi:10.1107/S0907444903017815. PMID 14573942.
^Shechtman, Yoav; Eldar, Yonina C.; Cohen, Oren; Chapman, Henry N.; Miao, Jianwei; Segev, Mordechai (2014-02-28). "Phase Retrieval with Application to Optical Imaging". arXiv:1402.7350 [cs.IT].
In physics, the phaseproblem is the problem of loss of information concerning the phase that can occur when making a physical measurement. The name comes...
Phases of play are parts of a chess problem which happen, as it were, concurrently rather than consecutively. Each problem has at least one phase: the...
Phase retrieval is the process of algorithmically finding solutions to the phaseproblem. Given a complex signal F ( k ) {\displaystyle F(k)} , of amplitude...
from the diffraction pattern due to the missing phase information. This is called the phaseproblem. The overall imaging process can be broken down in...
established through a mathematical basis known as Fourier transform, the "phaseproblem" would render predicting the diffraction patterns very difficult. Emerging...
applications, particularly to phase transitions in matter, a Stefan problem is a particular kind of boundary value problem for a system of partial differential...
case of the two-phaseproblem. In the direction of greater complexity we could also consider problems with an arbitrary number of phases. Another famous...
Molecular replacement (MR) is a method of solving the phaseproblem in X-ray crystallography. MR relies upon the existence of a previously solved protein...
(top/bottom), then there is a phasingproblem. Defects, in the way the lenticular lens has been cut, can lead to phase errors between the lens and the...
play being one phase, the post-key play being another); a problem with three tries would be a four-phaseproblem (each try being one phase, with the post-key...
The phases of ice are all possible states of matter for water as a solid. Currently, 19 phases, including both crystalline and amorphous ice, have been...
In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights...
liquids and crystals Patterson function – a function used to solve the phaseproblem in X-ray crystallography Periodic table (crystal structure) – (for elements...
of 3 Phase 10 Twist Phases: Phase 1: 3 sets of 3 Phase 2: 4 sets of 2 Phase 3: 1 set of 5 + 1 run of 4 Phase 4: 2 sets of 3 + 1 run of 3 Phase 5: 1 set...
to the so-called "phase problem". Once this is achieved, all the information relating to the scattered wave (modulus and phase) has been recovered, and...
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