Polar Perspective: A Graphical System for Creating Two-Dimensional Images Representing a World of Four Dimensions

Leonardo ◽  
1984 ◽  
Vol 17 (3) ◽  
pp. 188 ◽  
Author(s):  
Fernando R. Casas
Keyword(s):  
Two Dimensional ◽  
Four Dimensions ◽  
Graphical System ◽  
Two Dimensional Images

Optimal edge detection in two-dimensional images

1996 ◽  
Vol 5 (7) ◽  
pp. 1215-1220 ◽  
Author(s):  
R.J. Qian ◽  
T.S. Huang
Keyword(s):  
Edge Detection ◽  
Two Dimensional ◽  
Two Dimensional Images

Quantum fluctuations of the metric, three-geometries and conformal embeddings in four-manifolds

2021 ◽  
Author(s):  
Simon Davis
Keyword(s):  
Path Integrals ◽  
Invariance Group ◽  
Two Dimensional ◽  
Four Dimensions ◽  
Physical Conditions ◽  
Exponential Expansion ◽  
Cotangent Bundles ◽  
Four Manifolds ◽  
Conformal Embeddings ◽  
Natural Relation

In this paper, connections between the path integrals for four-dimensional quantum gravity and string theory are emphasized. It is shown that there is a natural relation between these two path integrals based on the theorems on embeddings of two-dimensional surfaces in four dimensions and four-dimensional manifolds in ten dimensions. The isometry groups of the three-geometries that are spatial hypersurfaces confomally embedded in the four-manifolds are required to be subgroups of [Formula: see text], which is the invariance group of the Pfaffian differential system satisfied by one form in the cotangent bundles on the four-manifolds. Based on this and other physical conditions, the three-geometries are restricted to be [Formula: see text], [Formula: see text] and [Formula: see text] with a boundary, which may be included in the quantum gravitational path integral over four-manifolds which are closed at initial times followed by an exponential expansion compatible with supersymmetry.

scholarly journals Visual Depth Perception of three dimensional images and two dimensional images

1990 ◽  
Vol 26 (Supplement) ◽  
pp. 248-249
Author(s):  
Am CHO ◽  
Kageyu NORO ◽  
Shinya KOSHIE ◽  
Atsuko HONDO ◽  
Sakae YAMAMOTO
Keyword(s):  
Depth Perception ◽  
Three Dimensional ◽  
Two Dimensional ◽  
Visual Depth ◽  
Three Dimensional Images ◽  
Two Dimensional Images

Fractal characteristics of two-dimensional images of ‘Fuji’ apple trees trained to two tree configurations after their winter pruning

2011 ◽  
Vol 130 (1) ◽  
pp. 102-108 ◽  
Author(s):  
Sheqi Zhang ◽  
Bingzhi Li ◽  
Yunpeng Liu ◽  
Linsen Zhang ◽  
Ziqing Wang ◽  
...  
Keyword(s):  
Two Dimensional ◽  
Apple Trees ◽  
Fuji Apple ◽  
Fractal Characteristics ◽  
Two Dimensional Images

SBART 2.4: An IEC Tool for Creating Two-Dimensional Images, Movies and Collages

Leonardo ◽  
2002 ◽  
Vol 35 (2) ◽  
pp. 189-191 ◽  
Author(s):  
Tatsuo Unemi
Keyword(s):  
User Interface ◽  
Three Dimensional ◽  
Interactive System ◽  
Small Computer ◽  
Two Dimensional ◽  
The Creation ◽  
Color Value ◽  
Two Dimensional Images

In this article, the author gives an overview of SBART 2.4, an interactive system used to create abstract two-dimensional images, collages and movies. The system, one of the successors of Karl Sims's system, runs on a small computer that uses a function to calculate the color value of each pixel as a genotype. All of the ranges and domains are three-dimensional vectors. The system utilizes a multi-field user interface to enhance the diversity of production and has optional facilities that allow the creation of collages of external images or short movies.

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