Area and volume computation of longitude–latitude grids and three‐dimensional meshes

2020 ◽  
Author(s):  
Kevin Kelly ◽  
Bojan Šavrič
Keyword(s):  
Three Dimensional ◽  
Volume Computation ◽  
Area And Volume

3D reconstruction and calculation of surface area and volume of bell pepper

2007 ◽  
Vol 3 (1) ◽  
pp. 89-113
Author(s):  
Zoltán Gillay ◽  
László Fenyvesi
Keyword(s):  
3D Reconstruction ◽  
Surface Area ◽  
Three Dimensional ◽  
Reference Method ◽  
Bell Pepper ◽  
Three Dimensional Model ◽  
Acceptable Error ◽  
Volume Calculation ◽  
Bell Peppers ◽  
Area And Volume

There was a method developed that generates the three-dimensional model of not axisymmetric produce, based on an arbitrary number of photos. The model can serve as a basis for calculating the surface area and the volume of produce. The efficiency of the reconstruction was tested on bell peppers and artificial shapes. In case of bell peppers 3-dimensional reconstruction was created from 4 images rotated in 45° angle intervals. The surface area and the volume were estimated on the basis of the reconstructed area. Furthermore, a new and simple reference method was devised to give precise results for the surface area of bell pepper. The results show that this 3D reconstruction-based surface area and volume calculation method is suitable to determine the surface area and volume of definite bell peppers with an acceptable error.

scholarly journals An Anatomically Placed Tibial Tunnel does not Completely Surround a Simulated PCL Reconstruction Graft in the Proximal Tibia

2022 ◽  
Author(s):  
Christopher Kim ◽  
Dustin Baker ◽  
Brian Albers ◽  
Scott G. Kaar
Keyword(s):  
Surface Area ◽  
Cruciate Ligament ◽  
Tibial Tunnel ◽  
Three Dimensional ◽  
Pcl Reconstruction ◽  
Posterior Cortex ◽  
Modeling Software ◽  
The Mean ◽  
Tibial Cortex ◽  
Area And Volume

Abstract Introduction It is hypothesized that anatomic tunnel placement will create tunnels with violation of the posterior cortex and subsequently an oblique aperture that is not circumferentially surrounded by bone. In this article, we aimed to characterize posterior cruciate ligament (PCL) tibial tunnel using a three-dimensional (3D) computed tomography (CT) model. Methods Ten normal knee CTs with the patella, femur, and fibula removed were used. Simulated 11 mm PCL tibial tunnels were created at 55, 50, 45, and 40 degrees. The morphology of the posterior proximal tibial exit was examined with 3D modeling software. The length of tunnel not circumferentially covered (cortex violation) was measured to where the tibial tunnel became circumferential. The surface area and volume of the cylinder both in contact with the tibial bone and that not in contact with the tibia were determined. The percentages of the stick-out length surface area and volume not in contact with bone were calculated. Results The mean stick-out length of uncovered graft at 55, 50, 45, and 40 degrees were 26.3, 20.5, 17.3, and 12.7 mm, respectively. The mean volume of exposed graft at 55, 50, 45, and 40 degrees were 840.8, 596.2, 425.6, and 302.9 mm3, respectively. The mean percent of volume of exposed graft at 55, 50, 45, and 40 degrees were 32, 29, 25, and 24%, respectively. The mean surface of exposed graft at 55, 50, 45, and 40 degrees were 372.2, 280.4, 208.8, and 153.3 mm2, respectively. The mean percent of surface area of exposed graft at 55, 50, 45, and 40 degrees were 40, 39, 34, and 34%, respectively. Conclusion Anatomic tibial tunnel creation using standard transtibial PCL reconstruction techniques consistently risks posterior tibial cortex violation and creation of an oblique aperture posteriorly. This risk is decreased with decreasing the angle of the tibial tunnel, though the posterior cortex is still compromised with angles as low as 40 degrees. With posterior cortex violation, a surgeon should be aware that a graft within the tunnel or socket posteriorly may not be fully in contact with bone. This is especially relevant with inlay and socket techniques.

scholarly journals Pore structure characterization of oak via X-ray computed tomography

BioResources ◽  
2020 ◽  
Vol 15 (2) ◽  
pp. 3053-3063
Author(s):  
Liangyan Guo ◽  
Hongchao Cheng ◽  
Junfeng Chen ◽  
Wentao Chen ◽  
Jingyao Zhao
Keyword(s):  
Computed Tomography ◽  
Pore Structure ◽  
Pore Size ◽  
Three Dimensional ◽  
Structure Characterization ◽  
X Ray ◽  
Volume Porosity ◽  
Pore Area ◽  
X Ray Computed ◽  
Area And Volume

The microscopic pore structure of wood is an important factor that affects its macroscopic properties. In this study, an oak sample was used for pore structure characterization. X-ray computed tomography imaging was carried out, and the scanning results (a multi-layer two-dimensional planar image) were rendered using Avizo software (a three-dimensional stereo image). A digital image processing method was used to identify the characteristics of the three-dimensional pore structure features and to calculate the characteristic parameters, i.e., the porosity (volume/surface), pore area and volume, pore size distribution, and the connectivity. The 27 mm3 oak sample had the following characteristics: a pore size which ranged from 8.56 µm to 1262.84 µm; a pore volume of 1.01 × 1010 µm3; a pore area and volume porosity of 1.12 × 109 µm2 and 37.6%, respectively; a surface porosity range of approximately 36.1% to 39.1%; a pore diameter for axial connection ranging from approximately 164.57 µm to 1262.84 µm; and had corresponding proportions of the pore area and volume of approximately 74.4% and 67.3%, respectively. This information provided useful structural data for the construction of future models.

scholarly journals Reliability of unconventional torso anthropometry using a three-dimensional scanner in Peruvian children and adolescents

F1000Research ◽  
2018 ◽  
Vol 7 ◽  
pp. 259
Author(s):  
Carlos Alberto Delgado ◽  
Roberto Shimabuku ◽  
Erika Alarcón ◽  
Luis Huicho ◽  
Augusto Cesar Ferreira De Moraes ◽  
...  
Keyword(s):  
Children And Adolescents ◽  
Cardiovascular Health ◽  
Research Effort ◽  
Low Cost ◽  
Three Dimensional ◽  
Reliability And Validity ◽  
Family Risk Factors ◽  
3D Scanners ◽  
Multicentre Research ◽  
Area And Volume

Background: Three-dimensional (3D) scanners have made it possible to measure and display body surface and shape with high precision. These are fast measurements with minimum discomfort, which is especially useful when children are involved. The objective was to assess the reliability and validity of a 3D-scanner for measuring unconventional torso parameters in children and adolescents. Methods: This is a sub-sample of the SAYCARE study, an observational multicentre research effort being conducted in six South American countries, aimed at developing methods to collect data on cardiovascular health biomarkers, lifestyles, and environmental, social and family risk factors. Images were captured using a portable scanner (iSense, Cubify, USA) attached to a Tablet 128Gb with OSX (Ipad-Air Apple, USA). Images were reshaped to exclude head, hair, arms and legs; area and volume were measured using 3D design software ((Rhinoceros for OSX, v5.02, USA). Results: The sub-sample for our study comprised 54 girls and 46 boys, aged 6 to 17 years old, from two private schools in Lima, Peru. Out of 100 participants, 82 were scanned twice. There was strong reliability (rho_c> 0.80) between first and second measurements of area and volume in boys of every age group. In girls, the reliability coefficient was moderate (rho_c> 0.70) only for area comparison in adolescents older than 10 years of age. The mean torso area was 0.55 m2 (SD 0.08) in girls and 0.63 m2 (SD 0.13) in boys. The overall mean torso volume was 24.4 l (SD 5.33) in girls and 31.47 l (SD 10.14) in boys. Area under ROC curve oscillates between 0.5707 and 0.6383 when volume/area ratio was compared to the selected “gold standard” (waist to height ratio > 0.5).  Conclusion: Use of portable and low cost 3D-scanners provides a reliable but inaccurate alternative for area and volume torso measurements in children and adolescents.

scholarly journals Shape dynamical loop gravity from a conformal Immirzi parameter

2017 ◽  
Vol 26 (11) ◽  
pp. 1750131 ◽  
Author(s):  
Patrick J. Wong
Keyword(s):  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Three Dimensional ◽  
Classical Level ◽  
Spatial Geometry ◽  
Loop Quantization ◽  
Loop Gravity ◽  
Precise Interpretation ◽  
Gauge Connection ◽  
Area And Volume

The Immirzi parameter of loop quantum gravity is a one-parameter ambiguity of the theory whose precise interpretation is not universally agreed upon. It is an inherent characteristic of the quantum theory as it appears in the spectra of geometric operators, despite being irrelevant at the classical level. The parameter’s appearance in the area and volume spectra to the same power as the Planck area suggest that it plays a role in determining the fundamental length scale of space. In fact, a consistent interpretation is that it represents a constant rescaling of the kinematical spatial geometry. An interesting realization is that promoting the Immirzi parameter to be a general conformal transformation leads to a system which can be identified as analogous to the linking theory of shape dynamics. A three-dimensional gravitational gauge connection is then constructed within the linking theory in a manner analogous to loop quantum gravity, thereby facilitating the application of the established procedure of loop quantization.

Minecraft Comes to Math Class

2018 ◽  
Vol 23 (6) ◽  
pp. 334-341 ◽  
Author(s):  
Kimberly Moore
Keyword(s):  
Surface Area ◽  
Three Dimensional ◽  
Eighth Grade ◽  
Eighth Grade Students ◽  
The Creation ◽  
Math Class ◽  
Area And Volume

Eighth-grade students use a character from Minecraft® to explore surface area and volume, resulting in the creation of a three-dimensional “Cylindrical Steve.”

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