Results 311 to 320 of about 938,544 (352)

Gaussian curvature-based geometric invariance

2009 6th International Conference on Electrical Engineering/Electronics, Computer, Telecommunications and Information Technology, 2009
In this paper we derive a novel geometric invariance on surfaces that it is preserved under affine and weak perspective transformations, and it is local, intrinsic and computed from the differential geometry of the surface. Our 3D shape features are based on the Gaussian curvature and Mean curvature.
P. Tosranon, A. Sanpanich, C. Bunluechokchai, C. Pintavirooj   +3 more
openaire   +1 more source

Self-folding origami surfaces of non-zero Gaussian curvature

Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring, 2019
This paper presents a framework for the design, fabrication, and experimental testing of self-folding origami structures that deform from two-dimensional forms towards three-dimensional goal shapes of arbitrary local Gaussian curvature via uniform ...
Milton R. Garza, E. Peraza-Hernandez, D. Hartl   +2 more
semanticscholar   +1 more source

GC-Net: An Unsupervised Network for Gaussian Curvature Optimization on Images

Journal of Signal Processing Systems, 2022
Wenming Tang, Zewei Lin, Yuanhao Gong
semanticscholar   +1 more source

Hypothetical graphite structures with negative gaussian curvature

Philosophical Transactions of the Royal Society of London. Series A: Physical and Engineering Sciences, 1993
We consider the geometries of hypothetical structures, derived from a graphite net by the inclusion of rings of seven or eight bonds, which may be periodic in three dimensions. Just as the positive curvature of fullerene sheets is produced by the presence of pentagons, so negative curvature appears with a mean ring size of more than six.
Mackay, A. L., Terrones, H.
openaire   +2 more sources

Surfaces of Gaussian Curvature Zero

2014
Classification of surfaces of Gaussian curvature zero (Gauss flat, two-dimensional Riemann manifolds) in a two-dimensional Euclidean space, ruled surfaces, developable surfaces.
Erik W. Grafarend, Rey-Jer You, Rainer Syffus   +2 more
openaire   +1 more source

Gaussian Curvature, Mirrors, and Maps

The American Mathematical Monthly, 2012
We present a method to optically measure the Gaussian curvature K of a surface and show how it can be used to establish a link between surfaces with constant K and area preserving maps between a sp...
openaire   +1 more source

Blind image deblurring with Gaussian curvature of the image surface

Signal processing. Image communication, 2021
Xianyu Ge, Jieqing Tan, Li Zhang, Jing Liu, Dandan Hu   +4 more
semanticscholar   +1 more source

Gaussian, mean and principal curvatures

2010
In this chapter, we show how to extract geometric information from the second fundamental form of a surface or, equivalently, from its Weingarten map.
openaire   +1 more source

Gaussian Process Regression for Materials and Molecules

Chemical Reviews, 2021
Volker L Deringer, Albert P Bartók, Noam Bernstein   +2 more
exaly  

Gaussian Curvature and Local Embedding

American Journal of Mathematics, 1951
Hartman, Philip, Wintner, Aurel
openaire   +2 more sources