Universal phase unwrapping for phase measuring profilometry using geometric analysis

2018 ◽  
Author(s):  
Jianwen Song ◽  
Yo-Sung Ho ◽  
Daniel Leo Lau ◽  
Kai Liu
Keyword(s):  
Geometric Analysis ◽  
Phase Unwrapping ◽  
Phase Measuring Profilometry

Two-Camera Phase Measuring Profilometry System

2013 ◽  
Vol 462-463 ◽  
pp. 3-8
Author(s):  
Guang Hong He ◽  
Ying Zhou Huang ◽  
Xiao Yong Wang
Keyword(s):  
Experimental Data ◽  
Three Dimensional ◽  
Phase Unwrapping ◽  
Measuring System ◽  
Profile Measurement ◽  
Single Camera ◽  
Phase Measuring Profilometry ◽  
Application Engineering ◽  
Measurement Algorithm ◽  
Great Potential Application

The profilometry of three dimensional objectives based on phase approaching of projected grating is widely used in various fields of application engineering. In this paper, two cameras are equipped in our system to obtain fast and static measurement compared to the conventional measuring system with single camera which needs rotated measurement. Algorithm of phase unwrapping based on reliability is also adopted to improve the performance which avoid the breakage of projected grating. Experimental data indicates the measurement error of this Two-camera phase measuring profilimetry system is within 1%. This new profilometry system has great potential application value in the profile measurement of static three dimensional targets.

Liquid crystalline ordering of paired helical filaments in neurofibrillary tangles of Alzheimer's disease

1986 ◽  
Vol 44 ◽  
pp. 348-349
Author(s):  
D.F. Clapin ◽  
V.J.A. Montpetit
Keyword(s):  
Alzheimer’S Disease ◽  
Alzheimer's Disease ◽  
Neurofibrillary Tangles ◽  
Liquid Crystalline ◽  
Amyloid Fibrils ◽  
Geometric Analysis ◽  
Paired Helical Filaments ◽  
Microscopic Level ◽  
Light Microscopic Level ◽  
Regular Spacing

Alzheimer's disease is characterized by the accumulation of abnormal filamentous proteins. The most important of these are amyloid fibrils and paired helical filaments (PHF). PHF are located intraneuronally forming bundles called neurofibrillary tangles. The designation of these structures as "tangles" is appropriate at the light microscopic level. However, localized domains within individual tangles appear to demonstrate a regular spacing which may indicate a liquid crystalline phase. The purpose of this paper is to present a statistical geometric analysis of PHF packing.

Geometric analysis

1976 ◽  
Vol 55 (2) ◽  
pp. 67
Author(s):  
C.A. Gladman ◽  
R.A. Williams
Keyword(s):  
Geometric Analysis

Geometry and Physics: Volume II

2018 ◽  
Keyword(s):  
Moduli Spaces ◽  
Mirror Symmetry ◽  
Geometric Analysis ◽  
Mathematical Physics ◽  
Poisson Geometry ◽  
Special Holonomy ◽  
Low Dimensional Topology ◽  
Generalized Complex Structures ◽  
Wide Range ◽  
Low Dimensional

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and Savilian Professor of Geometry at Oxford. The proceedings contain twenty-nine articles, including three by Fields medallists (Donaldson, Mori and Yau). The articles cover a wide range of topics in geometry and mathematical physics, including the following: Riemannian geometry, geometric analysis, special holonomy, integrable systems, dynamical systems, generalized complex structures, symplectic and Poisson geometry, low-dimensional topology, algebraic geometry, moduli spaces, Higgs bundles, geometric Langlands programme, mirror symmetry and string theory. These volumes will be of interest to researchers and graduate students both in geometry and mathematical physics.

Phase unwrapping based on the phase‐gradient‐jump connections

2017 ◽  
Vol 53 (10) ◽  
pp. 683-685 ◽  
Author(s):  
Tao Zhang ◽  
Xiaolei Lv ◽  
Jiang Qian ◽  
Jun Hong ◽  
Ye Yun
Keyword(s):  
Phase Unwrapping ◽  
Phase Gradient
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