Point Counting on Singular Hypersurfaces

2008 ◽  
pp. 327-341
Author(s):  
Remke Kloosterman
Keyword(s):  
Point Counting

A New System For Optomanual Semiautomatic Quantitative Image Analysis

1977 ◽  
Vol 35 ◽  
pp. 210-211
Author(s):  
H.P. Rohr
Keyword(s):  
Image Analysis ◽  
Volume Density ◽  
List Type ◽  
Distribution Analysis ◽  
Type Number ◽  
Point Counting ◽  
Human Eye ◽  
Quantitative Image ◽  
Point Density ◽  
Electronic Counting

Today, in image analysis the broadest possible rationalization and economization have become desirable. Basically, there are two approaches for image analysis: The image analysis through the so-called scanning methods which are usually performed without the human eye and the systems of optical semiautomatic analysis completely relying on the human eye.The new MOP AM 01 opto-manual system (fig.) represents one of the very promising approaches in this field. The instrument consists of an electronic counting and storing unit, which incorporates a microprocessor and a keyboard for choice of measuring parameters, well designed for easy use.Using the MOP AM 01 there are three possibilities of image analysis:the manual point counting,the opto-manual point counting andthe measurement of absolute areas and/or length (size distribution analysis included).To determine a point density for the calculation of the corresponding volume density the intercepts lying within the structure are scanned with the light pen.

A Comparison Between Sterological Point Counting and Digitizing Tablets

1985 ◽  
Vol 43 ◽  
pp. 666-667
Author(s):  
John M. Basgen ◽  
Eileen N. Ellis ◽  
S. Michael Mauer ◽  
Michael W. Steffes
Keyword(s):  
Electron Microscopy ◽  
Kidney Tissue ◽  
Volume Density ◽  
Diabetic Patients ◽  
Normal Kidney ◽  
Point Counting ◽  
Normal Kidney Tissue ◽  
Biopsy Specimens ◽  
Mitochondrial Volume ◽  
Kidney Lesions

To determine the efficiency of methods of quantitation of the volume density of components within kidney biopsies, techniques involving a semi-automatic digitizing tablet and stereological point counting were compared.Volume density (Vv) is a parameter reflecting the volume of a component to the volume that contains the component, e.g., the fraction of cell volume that is made up of mitochondrial volume. The units of Vv are μm3 /μm3.Kidney biopsies from 15 patients were used. Five were donor biopsies performed at the time of kidney transplantation (patients 1-5, TABLE 1) and were considered normal kidney tissue. The remaining biopsies were obtained from diabetic patients with a spectrum of diabetic kidney lesions. The biopsy specimens were fixed and embedded according to routine electron microscogy protocols. Three glomeruli from each patient were selected randomly for electron microscopy. An average of 12 unbiased and systematic micrographs were obtained from each glomerulus and printed at a final magnification of x18,000.

On lattice point counting in $$\varDelta $$-modular polyhedra

2021 ◽  
Author(s):  
D. V. Gribanov ◽  
N. Yu. Zolotykh
Keyword(s):  
Lattice Point ◽  
Point Counting

scholarly journals The bead process for beta ensembles

2021 ◽  
Author(s):  
Joseph Najnudel ◽  
Bálint Virág
Keyword(s):  
Point Processes ◽  
Scaling Limit ◽  
Companion Paper ◽  
Point Counting ◽  
Infinite Dimensional ◽  
Transition Mechanism ◽  
Beta Ensemble ◽  
Beta Ensembles ◽  
Orthogonal Ensembles ◽  
Gaussian Beta Ensembles

AbstractThe bead process introduced by Boutillier is a countable interlacing of the $${\text {Sine}}_2$$ Sine 2 point processes. We construct the bead process for general $${\text {Sine}}_{\beta }$$ Sine β processes as an infinite dimensional Markov chain whose transition mechanism is explicitly described. We show that this process is the microscopic scaling limit in the bulk of the Hermite $$\beta $$ β corner process introduced by Gorin and Shkolnikov, generalizing the process of the minors of the Gaussian Unitary and Orthogonal Ensembles. In order to prove our results, we use bounds on the variance of the point counting of the circular and the Gaussian beta ensembles, proven in a companion paper (Najnudel and Virág in Some estimates on the point counting of the Circular and the Gaussian Beta Ensemble, 2019).

scholarly journals On the use of 10-minute point counts and 10-species lists for surveying birds in lowland Atlantic Forests in southeastern Brazil

2012 ◽  
Vol 52 (28) ◽  
pp. 333-340 ◽  
Author(s):  
Vagner Cavarzere ◽  
Thiago Vernaschi Vieira da Costa ◽  
Luís Fábio Silveira
Keyword(s):  
Rapid Assessment ◽  
Southeastern Brazil ◽  
Point Counting ◽  
Point Count ◽  
Point Counts ◽  
Time Period ◽  
Minute Point ◽  
Species Lists ◽  
Point Count Method ◽  
Breeding Seasons

Due to rapid and continuous deforestation, recent bird surveys in the Atlantic Forest are following rapid assessment programs to accumulate significant amounts of data during short periods of time. During this study, two surveying methods were used to evaluate which technique rapidly accumulated most species (> 90% of the estimated empirical value) at lowland Atlantic Forests in the state of São Paulo, southeastern Brazil. Birds were counted during the 2008-2010 breeding seasons using 10-minute point counts and 10-species lists. Overall, point counting detected as many species as lists (79 vs. 83, respectively), and 88 points (14.7 h) detected 90% of the estimated species richness. Forty-one lists were insufficient to detect 90% of all species. However, lists accumulated species faster in a shorter time period, probably due to the nature of the point count method in which species detected while moving between points are not considered. Rapid assessment programs in these forests will rapidly detect more species using 10-species lists. Both methods shared 63% of all forest species, but this may be due to spatial and temporal mismatch between samplings of each method.

scholarly journals Elliptic Gauss sums and applications to point counting

2010 ◽  
Vol 45 (8) ◽  
pp. 825-836 ◽  
Author(s):  
Preda Mihăilescu ◽  
Victor Vuletescu
Keyword(s):  
Gauss Sums ◽  
Point Counting

Adobe photoshop quantification (PSQ) rather than point-counting: A rapid and precise method for quantifying rock textural data and porosities

2014 ◽  
Vol 69 ◽  
pp. 62-71 ◽  
Author(s):  
Xuefeng Zhang ◽  
Bo Liu ◽  
Jieqiong Wang ◽  
Zhe Zhang ◽  
Kaibo Shi ◽  
...  
Keyword(s):  
Point Counting ◽  
Precise Method ◽  
Adobe Photoshop ◽  
Textural Data

An Automated Histologic System for 3D Histomorphometry of the Mouse Knee

2011 ◽  
Author(s):  
Barbara J. Murienne ◽  
Michael J. Girard ◽  
Lise Loerup ◽  
Alexandra Boussommier-Calleja ◽  
Sandra J. Shefelbine ◽  
...  
Keyword(s):  
Joint Space ◽  
Bone Defects ◽  
Structural Features ◽  
Degenerative Joint Disease ◽  
Cartilage Volume ◽  
Joint Disease ◽  
Point Counting ◽  
Geometrical Properties ◽  
3 Dimensional ◽  
And Cartilage

Osteoarthritis (OA) is a degenerative joint disease that is a leading cause of adult pain and disability in Western countries1. Clinically, several structural features of the joint are important in diagnosis, prognosis and evaluation of treatment efficacy, e.g. cartilage volume, homogeneity and joint space narrowing2,3. In animal models of OA, structural features such as bone defects and cartilage changes are commonly investigated using histomorphometry, a technique that uses stereological point counting and manual tracing of regions of interest to extract 3-dimensional (3D) geometrical properties from 2D histology slides. This is time-consuming and subject to inter-observer variations, hence limiting precision 4,5. Therefore, a technique for rapidly imaging joint structures in 3D at high resolution, including articular cartilage and subchondral bone, is currently needed in pre-clinical OA research.

scholarly journals GALOIS THEORY OF THE CANONICAL THETA STRUCTURE

2011 ◽  
Vol 07 (01) ◽  
pp. 173-202
Author(s):  
ROBERT CARLS
Keyword(s):  
Galois Theory ◽  
Theoretical Foundation ◽  
Abelian Varieties ◽  
Geometric Mean ◽  
Null Point ◽  
Point Counting ◽  
Characteristic 2 ◽  
Theoretic Characterization ◽  
Generalized Arithmetic

In this article, we give a Galois-theoretic characterization of the canonical theta structure. The Galois property of the canonical theta structure translates into certain p-adic theta relations which are satisfied by the canonical theta null point of the canonical lift. As an application, we prove some 2-adic theta identities which describe the set of canonical theta null points of the canonical lifts of ordinary abelian varieties in characteristic 2. The latter theta relations are suitable for explicit canonical lifting. Using the theory of canonical theta null points, we are able to give a theoretical foundation to Mestre's point counting algorithm which is based on the computation of the generalized arithmetic geometric mean sequence.

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