PATTERNS AND PROCESSES IN MORPHOSPACE: GEOMETRIC MORPHOMETRICS OF THREE-DIMENSIONAL OBJECTS

2016 ◽  
Vol 22 ◽  
pp. 71-99 ◽  
Author(s):  
P. David Polly ◽  
Gary J. Motz
Keyword(s):  
Geometric Morphometrics ◽  
Three Dimensional ◽  
Shape Space ◽  
Multivariate Methods ◽  
Morphometric Data ◽  
Three Dimensional Objects ◽  
Mathematical Properties ◽  
Patterns And Processes ◽  
The Relationship ◽  
Shell Coiling

AbstractFocusing on geometric morphometrics (GMM), we review methods for acquiring morphometric data from 3-D objects (including fossils), algorithms for producing shape variables and morphospaces, the mathematical properties of shape space, especially how they relate to morphogenetic and evolutionary factors, and issues posed by working with fossil objects. We use the Raupian shell-coiling equations to illustrate the complexity of the relationship between such factors and GMM morphospaces. The complexity of these issues re-emphasize what are arguably the two most important recommendations for GMM studies: 1) always use multivariate methods and all of the morphospace axes in an analysis; and 2) always anticipate the possibility that the factors of interest can have complex, nonlinear relationships with shape.

scholarly journals Kemampuan Spasial dalam Pengkonstruksian Jaring-Jaring Kubus dan Balok

2019 ◽  
Vol 7 (1) ◽  
pp. 30
Author(s):  
Shinta Wulandari
Keyword(s):  
Spatial Ability ◽  
Spatial Orientation ◽  
Three Dimensional ◽  
Spatial Visualization ◽  
Point Of View ◽  
Fifth Grade ◽  
Research Subjects ◽  
School Students ◽  
Three Dimensional Objects ◽  
The Relationship

<p>Jaring-jaring dapat membantu siswa membuat konsep hubungan antara objek dua dimensi dan tiga dimensi. Namun masih ada ketidakakuratan dalam menyusun jaring-jaring yang disebabkan oleh kemampuan spasial yang lemah. Tujuan dari penelitian ini adalah untuk menggambarkan kemampuan spasial siswa dalam membangun jaring-jaring kubus dan balok. Subjek penelitian adalah empat puluh siswa Sekolah Dasar kelas lima. Dari empat puluh siswa dipilih dua siswa untk diwawancara lebih mendalam terkait penyelesaian tugas jaring-jaring kubus dan balok. Hasil penelitian menunjukkan bahwa dalam menyelesaikan tugas penyusunan jaring-jaring kubus dan balok, subjek menunjukkan kelemahan dalam kemampuan orientasi spasial dan visualisasi spasial. Kelemahan pada orientasi spasial terlihat pada kemampuan subjek untuk melihat objek dari sudut pandang tertentu yaitu dalam mengenali dua jaring-jaring yang kongruen tetapi dianggap tidak kongruen. Sedangkan kelemahan visualisasi spasial nampak pada saat subjek yang tidak dapat membayangkan bahwa jaring-jaring dapat dilipat menjadi kubus dan balok.</p><p> </p><p>Nets can help students conceptualize the relationship between two-dimensional and three-dimensional objects. But there are still inaccuracies in composing the webs caused by weak spatial ability. The purpose of this study is to describe the spatial ability of students in constructing cube and beam webs. The research subjects were forty-fifth-grade elementary school students. Of the forty students, two students were chosen to be interviewed more deeply related to the completion of the task of the cube nets and the beam. The results showed that in completing the task of arranging cube and beam nets, the subject showed weaknesses in the ability of spatial orientation and spatial visualization. Weaknesses in spatial orientation are seen in the subject's ability to see objects from a certain point of view, namely in recognizing two nets that are congruent but considered incongruent while the weaknesses of spatial visualization are seen when subjects cannot imagine that the webs can be folded into cubes and blocks.</p>

scholarly journals Protein structures as shapes: Analysing protein structure variation using geometric morphometrics

2017 ◽  
Author(s):  
Jose Sergio Hleap ◽  
Christian Blouin
Keyword(s):  
Protein Structure ◽  
Geometric Morphometrics ◽  
Protein Structures ◽  
Three Dimensional ◽  
Structure Alignment ◽  
Structure Variation ◽  
Niemann Pick Disease ◽  
Physical Traits ◽  
Niemann Pick ◽  
The Relationship

AbstractA phenotype is defined as an organism’s physical traits. In the macroscopic world, an animal’s shape is a phenotype. Geometric morphometrics (GM) can be used to analyze its shape. Let’s pose protein structures as microscopic three dimensional shapes, and apply principles of GM to the analysis of macromolecules. In this paper we introduce a way to 1) abstract a structure as a shape; 2) align the shapes; and 3) perform statistical analysis to establish patterns of variation in the datasets. We show that general procrustes superimposition (GPS) can be replaced by multiple structure alignment without changing the outcome of the test. We also show that estimating the deformation of the shape (structure) can be informative to analyze relative residue variations. Finally, we show an application of GM for two protein structure datasets: 1) in the α-amylase dataset we demonstrate the relationship between structure, function, and how the dependency of chloride has an important effect on the structure; and 2) in the Niemann-Pick disease, type C1 (NPC1) protein’s molecular dynamic simulation dataset, we introduce a simple way to analyze the trajectory of the simulation by means of protein structure variation.

scholarly journals PENGETAHUAN DASAR DESAIN TIGA DIMENSI SEBAGAI CARA MAHASISWA DESAIN UNTUK BERPIKIR BENTUK RUANG DAN VOLUME

2020 ◽  
Vol 3 (1) ◽  
pp. 1-13
Author(s):  
R. Tosan Tri Putro
Keyword(s):  
Urban Design ◽  
Visual Experience ◽  
Three Dimensional ◽  
Shape Space ◽  
Spatial Thinking ◽  
Aesthetic Value ◽  
Three Dimensional Objects ◽  
Design Students ◽  
Thinking Tools ◽  
Space Volume

Title: Three Dimensional Basic Design Knowledge as Thinking Tools for Understanding the Shape, Space and Volume The consciousness of observing the shape and space of an object, whether large or small, is the sensitivity that becomes a designer of three-dimensional objects. A product form is created with full awareness by the designer, not by itself appearing. In addition to the function of the design object, in a design process there is a styling stage, aesthetic value visually, a form that follows the function or shape that follows the material. Aesthetic value in a design product that can not be separated from the ability of the designer with visual experience. The ability and sensitivity to observe and create an aesthetic visual form should be instilled since someone declares himself to be a designer or planner. Design areas such as architecture, interior, urban design, area and also design product are demanded for their ability to sensitize observing and design a space, volume and shape. This study is based on observations on a group of design students and literature studies. Based on observations over time, the spatial thinking capacity of each person is different, as is the ability to create an aesthetic value in a design. Everyone has different absorbtive power and creativity.

scholarly journals Fast Overlap Detection between Hard-Core Colloidal Cuboids and Spheres. The OCSI Algorithm

Algorithms ◽  
2021 ◽  
Vol 14 (3) ◽  
pp. 72
Author(s):  
Luca Tonti ◽  
Alessandro Patti
Keyword(s):  
Colloidal Particles ◽  
Dynamic Properties ◽  
Wide Spectrum ◽  
Three Dimensional ◽  
Hard Core ◽  
Detection Algorithm ◽  
Three Dimensional Objects ◽  
Aggregation Behaviour ◽  
Sphere Radius ◽  
User Friendly

Collision between rigid three-dimensional objects is a very common modelling problem in a wide spectrum of scientific disciplines, including Computer Science and Physics. It spans from realistic animation of polyhedral shapes for computer vision to the description of thermodynamic and dynamic properties in simple and complex fluids. For instance, colloidal particles of especially exotic shapes are commonly modelled as hard-core objects, whose collision test is key to correctly determine their phase and aggregation behaviour. In this work, we propose the Oriented Cuboid Sphere Intersection (OCSI) algorithm to detect collisions between prolate or oblate cuboids and spheres. We investigate OCSI’s performance by bench-marking it against a number of algorithms commonly employed in computer graphics and colloidal science: Quick Rejection First (QRI), Quick Rejection Intertwined (QRF) and a vectorized version of the OBB-sphere collision detection algorithm that explicitly uses SIMD Streaming Extension (SSE) intrinsics, here referred to as SSE-intr. We observed that QRI and QRF significantly depend on the specific cuboid anisotropy and sphere radius, while SSE-intr and OCSI maintain their speed independently of the objects’ geometry. While OCSI and SSE-intr, both based on SIMD parallelization, show excellent and very similar performance, the former provides a more accessible coding and user-friendly implementation as it exploits OpenMP directives for automatic vectorization.

scholarly journals Dynamics of Single Droplet Splashing on Liquid Film by Coupling FVM with VOF

Processes ◽  
2021 ◽  
Vol 9 (5) ◽  
pp. 841
Author(s):  
Yuzhen Jin ◽  
Huang Zhou ◽  
Linhang Zhu ◽  
Zeqing Li
Keyword(s):  
Liquid Film ◽  
Weber Number ◽  
Stokes Equations ◽  
Numerical Study ◽  
Three Dimensional ◽  
Navier Stokes ◽  
Single Droplet ◽  
Navier Stokes Equations ◽  
Volume Method ◽  
The Relationship

A three-dimensional numerical study of a single droplet splashing vertically on a liquid film is presented. The numerical method is based on the finite volume method (FVM) of Navier–Stokes equations coupled with the volume of fluid (VOF) method, and the adaptive local mesh refinement technology is adopted. It enables the liquid–gas interface to be tracked more accurately, and to be less computationally expensive. The relationship between the diameter of the free rim, the height of the crown with different numbers of collision Weber, and the thickness of the liquid film is explored. The results indicate that the crown height increases as the Weber number increases, and the diameter of the crown rim is inversely proportional to the collision Weber number. It can also be concluded that the dimensionless height of the crown decreases with the increase in the thickness of the dimensionless liquid film, which has little effect on the diameter of the crown rim during its growth.

scholarly journals A Field Measurement Based Wind Characteristics Analysis of a Typhoon in Near-Ground Boundary Layer

Atmosphere ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 873
Author(s):  
Dandan Xia ◽  
Liming Dai ◽  
Li Lin ◽  
Huaifeng Wang ◽  
Haitao Hu
Keyword(s):  
Turbulence Intensity ◽  
Field Measurement ◽  
Three Dimensional ◽  
Wind Data ◽  
Statistical Characteristics ◽  
Gust Factor ◽  
Characteristics Analysis ◽  
Wind Characteristics ◽  
The Mean ◽  
The Relationship

The field measurement was conducted to observe the wind field data of West Pacific typhoon “Maria” in this research. With the application of ultrasonic anemometers installed in different heights (10 m, 80 m, 100 m) of the tower, the three dimensional wind speed data of typhoon “Maria” was acquired. In addition, vane-type anemometers were installed to validate the accuracy of the wind data from ultrasonic anemometers. Wind characteristics such as the mean wind profile, turbulence intensity, integral length scale, and wind spectrum are studied in detail using the collected wind data. The relationship between the gust factor and turbulence intensity was also studied and compared with the existing literature to demonstrate the characteristics of Maria. The statistical characteristics of the turbulence intensity and gust factor are presented. The corresponding conclusion remarks are expected to provide a useful reference for designing wind-resistant buildings and structures.

scholarly journals The Effect of Material Properties on the Perceived Shape of Three-Dimensional Objects

i-Perception ◽  
2020 ◽  
Vol 11 (6) ◽  
pp. 204166952098231
Author(s):  
Masakazu Ohara ◽  
Juno Kim ◽  
Kowa Koida
Keyword(s):  
Material Properties ◽  
Regional Variation ◽  
Three Dimensional ◽  
Mean Square ◽  
Viewing Condition ◽  
Three Dimensional Objects ◽  
Transparent Objects ◽  
Dimensional Shape ◽  
Local Root ◽  
Three Dimensional Shape

Perceiving the shape of three-dimensional objects is essential for interacting with them in daily life. If objects are constructed from different materials, can the human visual system accurately estimate their three-dimensional shape? We varied the thickness, motion, opacity, and specularity of globally convex objects rendered in a photorealistic environment. These objects were presented under either dynamic or static viewing condition. Observers rated the overall convexity of these objects along the depth axis. Our results show that observers perceived solid transparent objects as flatter than the same objects rendered with opaque reflectance properties. Regional variation in local root-mean-square image contrast was shown to provide information that is predictive of perceived surface convexity.

scholarly journals Three-dimensional relationships between tumor cells and microcirculation with double cyanine immunolabeling, laser scanning confocal microscopy, and computer-assisted reconstruction: an alternative to cast corrosion preparations.

1994 ◽  
Vol 42 (5) ◽  
pp. 681-686 ◽  
Author(s):  
V Rummelt ◽  
L M Gardner ◽  
R Folberg ◽  
S Beck ◽  
B Knosp ◽  
...  
Keyword(s):  
Electron Microscopy ◽  
Scanning Electron Microscopy ◽  
Blood Vessels ◽  
Tumor Cells ◽  
Laser Scanning ◽  
Three Dimensional ◽  
Melanoma Cells ◽  
Tumor Blood Vessels ◽  
The Relationship ◽  
Scanning Electron

The morphology of the microcirculation of uveal melanomas is a reliable market of tumor progression. Scanning electron microscopy of cast corrosion preparations can generate three-dimensional views of these vascular patterns, but this technique sacrifices the tumor parenchyma. Formalin-fixed wet tissue sections 100-150 microns thick from uveal melanomas were stained with the lectin Ulex europaeus agglutinin I (UEAI) and proliferating cell nuclear antigen (PCNA) to demonstrate simultaneously the tumor blood vessels and proliferating tumor cells. Indocarbocyanine (Cy3) was used as a fluorophore for UEAI and indodicarbocyanine (Cy5) was used for PCNA. Double labeled sections were examined with a laser scanning confocal microscope. Images of both stains were digitized at the same 5-microns intervals and each of the two images per interval was combined digitally to form one image. These combined images were visualized through voxel processing to study the relationship between melanoma cells expressing PCNA and various microcirculatory patterns. This technique produces images comparable to scanning electron microscopy of cast corrosion preparations while permitting simultaneous localization of melanoma cells expressing PCNA. The microcirculatory tree can be viewed from any perspective and the relationship between tumor cells and the tumor blood vessels can be studied concurrently in three dimensions. This technique is an alternative to cast corrosion preparations.

A Research on the Morphology and Composition of Flocs (Part 1: Floc Breaage Disregarded)

2013 ◽  
Vol 726-731 ◽  
pp. 1566-1572 ◽  
Author(s):  
Shi Qiang Ding ◽  
Qing Na Li ◽  
Xin Rong Pang ◽  
Ji Run Xu
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
New Classification ◽  
Suspension Viscosity ◽  
Primary Particles ◽  
Long Time ◽  
Relationship Of ◽  
The Relationship ◽  
Three Dimensional Space ◽  
Floc Breakage

The characteristics of flocs aggregated in flocculation have been paid more and more attention for a long time. In this paper, a new classification and analyses method dealing with the flocs is developed. The flocs formed after flocculation is divided into four kinds, including the left primary particles, linear flocs with all component particles in a line, planar flocs with all component particles on a plane and volumetric flocs with all component particles in a three-dimensional space. By analyzing the formation approaches of different kind of flocs regardless of the floc breakage, the number of every kind of floc is analyzed to be related with the suspension concentration mathematically. After comparing the different items in the models describing the relationship of floc number and concentration, a series of simplified expressions are presented. Lastly, a mathematical equation relating the measurable suspension viscosity with the numbers of different flocs is obtained.

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