Computer graphics as an aid to teaching geometric transformations

1976 ◽  
Vol 8 (1) ◽  
pp. 137-143
Author(s):  
Joseph K. McAdams ◽  
Arlan R. DeKock
Keyword(s):  
Computer Graphics ◽  
Geometric Transformations

Computer graphics as an aid to teaching geometric transformations

1976 ◽  
Author(s):  
Joseph K. McAdams ◽  
Arlan R. DeKock
Keyword(s):  
Computer Graphics ◽  
Geometric Transformations

Laboratory Practicum on Computer Graphics

2017 ◽  
Vol 5 (3) ◽  
pp. 78-85 ◽  
Author(s):  
А. Алексюк ◽  
A. Aleksyuk
Keyword(s):  
Computer Graphics ◽  
Three Dimensional ◽  
Arbitrary Point ◽  
Computer Engineering ◽  
Engineering Systems ◽  
Central Projections ◽  
Geometric Transformations ◽  
Computer Screen ◽  
Three Dimensional Objects ◽  
Screen Plane

To master such important section of computer graphics as “Geometric Transformations of Coordinates” have been proposed laboratory works on discipline “Engineering and Computer Graphics” for MSUN students of specialties 27.03.04 “Management in Engineering Systems” and 09.03.01 “Informatics and Computer Engineering”. In contrast to existing laboratory works on computer graphics, demanding the knowledge of algorithmic languages and programming essentials, the presented tasks are performed in a MathCAD package, which allows represent results in the form of geometrical drawings without writing complicated computer programs. In this paper are considered elementary geometrical transformations and their compositions. Matrixes of object coordinates transformations at transfer, rotation and scaling on the plane and in space have been described. Constructions of orthogonal, axonometric and central projections on screen plane have been considered. Distinctions in algorithms for objects’ geometrical transformations above reference zero and arbitrary point have been noted. It has been showed that the end result of complex transformations depends on sequence of elementary transformations. A large number of examples covering the laboratory practicum’s content have been provided. Results have been presented in the form of numbers and drawings using MathCAD. In the first laboratory work have been considered the objects geometrical transformations (transfer, rotation and scaling) on the plane and in space; in the second one – construction of central, orthogonal and axonometric projections for three-dimensional objects on a computer screen (plane). Have been developed methodological instructive regulations for performance of laboratory and independent works which are used for students training on the MSUN’s descriptive geometry and graphics chair.

scholarly journals Matrices in computer graphics

2018 ◽  
Vol 12 (2) ◽  
pp. 120-123
Author(s):  
Nataša Lončarić ◽  
Marko Kraljić
Keyword(s):  
Computer Graphics ◽  
Application Software ◽  
Geometric Transformations ◽  
Matrix Operations ◽  
Matrix Calculus ◽  
The Matrix

In this article, the usage of matrices and matrix operations in computer graphics is shown. A brief overview of geometric transformations in computer graphics is given. The "Matrix - Computer Graphics" application software is created for the representation and easier understanding of relations between geometric transformations and matrix calculus.

Computer graphics as an aid to teaching geometric transformations

1976 ◽  
Vol 10 (SI) ◽  
pp. 137-143
Author(s):  
Joseph K. McAdams ◽  
Arlan R. DeKock
Keyword(s):  
Computer Graphics ◽  
Geometric Transformations

Improved 3-D reconstruction using stereo computer graphics and multiple tilt EM images

1995 ◽  
Vol 53 ◽  
pp. 630-631
Author(s):  
Lee D. Peachey ◽  
Lou Fodor ◽  
John C. Haselgrove ◽  
Stanley M. Dunn ◽  
Junqing Huang
Keyword(s):  
Computer Graphics ◽  
High Performance ◽  
Transverse Section ◽  
Three Dimensional ◽  
Stereo Pair ◽  
3D Reconstructions ◽  
Video Cameras ◽  
Biological Objects ◽  
Microscope Images ◽  
High Performance Computer

Stereo pairs of electron microscope images provide valuable visual impressions of the three-dimensional nature of specimens, including biological objects. Beyond this one seeks quantitatively accurate models and measurements of the three dimensional positions and sizes of structures in the specimen. In our laboratory, we have sought to combine high resolution video cameras with high performance computer graphics systems to improve both the ease of building 3D reconstructions and the accuracy of 3D measurements, by using multiple tilt images of the same specimen tilted over a wider range of angles than can be viewed stereoscopically. Ultimately we also wish to automate the reconstruction and measurement process, and have initiated work in that direction.Figure 1 is a stereo pair of 400 kV images from a 1 micrometer thick transverse section of frog skeletal muscle stained with the Golgi stain. This stain selectively increases the density of the transverse tubular network in these muscle cells, and it is this network that we reconstruct in this example.

Stereo modeling of HVEM specimens by serial tilting and computer graphics

1986 ◽  
Vol 44 ◽  
pp. 34-35
Author(s):  
J.R. McIntosh ◽  
D.L. Stemple ◽  
William Bishop ◽  
G.W. Hannaway
Keyword(s):  
Computer Graphics ◽  
Analytical Methods ◽  
Photographic Film ◽  
Complex Structures ◽  
Multiple Objects ◽  
Multiple Images ◽  
3 Dimensional

EM specimens often contain 3-dimensional information that is lost during micrography on a single photographic film. Two images of one specimen at appropriate orientations give a stereo view, but complex structures composed of multiple objects of graded density that superimpose in each projection are often difficult to decipher in stereo. Several analytical methods for 3-D reconstruction from multiple images of a serially tilted specimen are available, but they are all time-consuming and computationally intense.

Applications of Computer Graphics in Craniofacial Surgery

1986 ◽  
Vol 13 (3) ◽  
pp. 441-448 ◽  
Author(s):  
Jeffrey L. Marsh ◽  
Michael W. Vannier ◽  
Stephen Bresina ◽  
Kaye M. Hemmer
Keyword(s):  
Computer Graphics ◽  
Craniofacial Surgery

Tasks of computer graphics under conditions of fundamentalization of preparation of an informatics teacher

2020 ◽  
pp. 57-63
Author(s):  
Ye. Yi. Bidaibekov ◽  
V. V. Grinshkun ◽  
S. N. Koneva
Keyword(s):  
Computer Graphics ◽  
Basic Principle ◽  
Fundamental Component ◽  
The Future ◽  
Scope Of Application ◽  
Education Training ◽  
Mathematical Foundations

The article deals with computer graphics tasks related to the activities of the future informatics teacher in conditions of fundamentalization of education. Training of future informatics teachers in the context of the fundamentalization of education requires them to know the range of tasks related to computer graphics and the skills to solve them. In order to enhance the fundamental component of computer graphics, methods are proposed that rely on interprandial communications, as well as on in-depth training of computer graphics. In the course of reasoning, the authors come to the conclusion that the content of computer graphics should be enriched with mathematical foundations of computer graphics and as a result update the content of the computer graphics course with machine graphics algorithms. The basic principle of selecting the content of the course offered is the principle of the fundamentalization of education. Since the scope of application of computer graphics is extensive, in our opinion, the system of tasks and tasks on computer graphics is the most interesting. A feature of this system is the orientation towards solving fundamental problems of computer graphics. It was also revealed during the study that it is possible to reduce the tasks of the proposed system to a certain sequence of stages. The application of stages for a certain type of tasks affects the methods of solving them. Thus, the fundamental training of future informatics teachers in computer graphics requires them to know these stages and methods of solving fundamental computer graphics tasks.

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