New Three-Dimensional Algebraic Reconstruction Techniques (Art)

Author(s):  
Richard Gordon ◽  
Robert Bender

Algebraic reconstruction techniques (ART) for 3-dimensional reconstruction from electron microscope data have been developed and implemented in this laboratory. These methods are an alternitive to the Fourier method of de Rosier and Klug and have several advantages over it, such as:relatively few views are required (about 6-12)limited angular ranges give useful reconstructions (+/-30°)no presumption of symmetry is necessary for facile implementingcomputation is fasterthe computation is stable in the presence of noiseThe dimensionality of the problem may be reduced from three to two by tilts about a single axis, so that planes perpendicular to the axis of tilt are independent of each other. This is not absolutely necessary, but is by far the most tractable mode computationally. A typical input data set, then, consists of m≥6 photos of the same region of the specimen at several known angles of tilt about the same axis. In general the direction of the tilt axis is not known.

Author(s):  
Ximen Jiye ◽  
Shao Zhifeng

The classic reconstruction problem is that of reconstructing a 3D object from its 2D projections /1-5/. It is also well known that the principal difficulty in solving this problem in electron microscopy is that a very large number of independent projections are normally required. Recently it has been shown /3,4/ that if we restrict our attention to binary or Boolean objects, far fewer projections are needed in order to obtain an approximate solution. 2-dimensional solutions of ID projections were demonstrated using only four views and 3-dimensional reconstruction of 2D projections were obtained by dividing the projections into identifiable slices.In the present paper, an algebraic reconstruction technique (ART) has been studied which uses three mutually orthogonal projections.


Author(s):  
Robert Glaeser ◽  
Thomas Bauer ◽  
David Grano

In transmission electron microscopy, the 3-dimensional structure of an object is usually obtained in one of two ways. For objects which can be included in one specimen, as for example with elements included in freeze- dried whole mounts and examined with a high voltage microscope, stereo pairs can be obtained which exhibit the 3-D structure of the element. For objects which can not be included in one specimen, the 3-D shape is obtained by reconstruction from serial sections. However, without stereo imagery, only detail which remains constant within the thickness of the section can be used in the reconstruction; consequently, the choice is between a low resolution reconstruction using a few thick sections and a better resolution reconstruction using many thin sections, generally a tedious chore. This paper describes an approach to 3-D reconstruction which uses stereo images of serial thick sections to reconstruct an object including detail which changes within the depth of an individual thick section.


1979 ◽  
Vol 35 (1) ◽  
pp. 59-66
Author(s):  
A.B. Murray ◽  
H.G. Davies

The arrangement of the chromatin bodies in the interphase nuclei of 6 erythrocytes has been investigated by means of 3-dimensional reconstruction from electron micrographs of serial sections. When the borders of chromatin bodies are marked on the surface of each model, discrete areas of chromatin in contact with the nuclear envelope are revealed. The number of these areas in approximately equal to the number of chromosomes in the diploid set. The data suggest that each chromatin body corresponds to a condensed interphase chromosome and that each chromosome is attached to one discrete site on the nuclear envelope. The data are insufficient to show whether or not the condensed chromosomes are arranged in any orderly pattern in these nuclei.


1998 ◽  
Vol 179 ◽  
pp. 493-499
Author(s):  
O. Lahav

An astronomer's career can be viewed in a 3-dimensional space where the (nearly orthogonal) axes are : – the objects of interest (from planets to the Universe),– techniques (from instrument design to analytic calculations),– the wavelength (from the radio to gamma rays).


2014 ◽  
Vol 10 (3) ◽  
pp. 426-435 ◽  
Author(s):  
Mehmet V. Harput ◽  
Pablo Gonzalez-Lopez ◽  
Uğur Türe

Abstract BACKGROUND: During surgery for intrinsic brain lesions, it is important to distinguish the pathological gyrus from the surrounding normal sulci and gyri. This task is usually tedious because of the pia-arachnoid membranes with their arterial and venous complexes that obscure the underlying anatomy. Moreover, most tumors grow in the white matter without initially distorting the cortical anatomy, making their direct visualization more difficult. OBJECTIVE: To create and evaluate a simple and free surgical planning tool to simulate the anatomy of the surgical field with and without vessels. METHODS: We used free computer software (OsiriX Medical Imaging Software) that allowed us to create 3-dimensional reconstructions of the cerebral surface with and without cortical vessels. These reconstructions made use of magnetic resonance images from 51 patients with neocortical supratentorial lesions operated on over a period of 21 months (June 2011 to February 2013). The 3-dimensional (3-D) anatomic images were compared with the true surgical view to evaluate their accuracy. In all patients, the landmarks determined by 3-D reconstruction were cross-checked during surgery with high-resolution ultrasonography; in select cases, they were also checked with indocyanine green videoangiography. RESULTS: The reconstructed neurovascular structures were confirmed intraoperatively in all patients. We found this technique to be extremely useful in achieving pure lesionectomy, as it defines tumor's borders precisely. CONCLUSION: A 3-D reconstruction of the cortical surface can be easily created with free OsiriX software. This technique helps the surgeon perfect the mentally created 3-D picture of the tumor location to carry out cleaner, safer surgeries.


1988 ◽  
Vol 20 (1) ◽  
pp. 677-681
Author(s):  
S. Grzedzielski ◽  
L.F. Burlaga

The area of interest to the Commission includes: 1.Solar wind composition and dynamics;2.Solar Interaction of solar wind with extended interplanetary sources of plasma and gases of non-solar origin;3.SolarStructure and dynamics of the three-dimensional heliosphere;4.SolarInteraction of heliosphere with the local interstellar medium.The following reports summarize recent developments in the aforementioned fields.


CONVERTER ◽  
2021 ◽  
pp. 482-488
Author(s):  
Taipeng Guo, Et al.

Cerebral hemorrhage is a common clinical disease. Because of its rapid onset, high mortality and disability rate, in the treatment of cerebral hemorrhage, it is very important to accurately calculate the brain hematoma volume and feedback its location information in a short period of time. This paper proposes a method for precise segmentation and three-dimensional reconstruction of cerebral hematoma area based on deep learning. This method highlights the image information by expanding the CT image and eliminating the skull information, then accurately segments the cerebral hematoma areathrough the neural network model to build a three-dimensional model. We verify the experimental results based on the data set collected by the Affiliated Hospital of Xiangnan University, which proves the effectiveness of this method and its ability to significantly improve the speed incerebral hemorrhage area judgment and grasp information in clinical diagnosis.


2017 ◽  
Author(s):  
Marta Vidal-García ◽  
Lashi Bandara ◽  
J. Scott Keogh

SummaryThe quantification of complex morphological patterns typically involves comprehensive shape and size analyses, usually obtained by gathering morphological data from all the structures that capture the phenotypic diversity of an organism or object. Articulated structures are a critical component of overall phenotypic diversity, but data gathered from these structures are difficult to incorporate in to modern analyses because of the complexities associated with jointly quantifying 3D shape in multiple structures.While there are existing methods for analysing shape variation in articulated structures in Two-Dimensional (2D) space, these methods do not work in 3D, a rapidly growing area of capability and research.Here we describe a simple geometric rigid rotation approach that removes the effect of random translation and rotation, enabling the morphological analysis of 3D articulated structures. Our method is based on Cartesian coordinates in 3D space so it can be applied to any morphometric problem that also uses 3D coordinates (e.g. spherical harmonics). We demonstrate the method by applying it to a landmark-based data set for analysing shape variation using geometric morphometrics.We have developed an R tool (ShapeRotator) so that the method can be easily implemented in the commonly used R package geomorph and MorphoJ software. This method will be a valuable tool for 3D morphological analyses in articulated structures by allowing an exhaustive examination of shape and size diversity.


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