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Real-Time Optimizing Weighted Gaussian Curvature for 4K Videos
International Workshop on Machine Learning for Signal Processing, 2021Weighted Gaussian curvature is an important measurement for surfaces, images and videos. However, since it is a second order quantity, its optimization usually leads to high order geometric flows that cause difficulties for practical applications.
Wenming Tang, Lebin Zhou, Yuanhao Gong
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Journal of Differential Equations, 2021
The authors study the Nirenberg problem on \(S^2\): Given a smooth function \(f:S^2\to\mathbb{R}\) which is positive somewhere, does there exist a metric \(g\) on \(S^2\) conformally equivalent to the standard metric \(g_0\) and having Gaussian curvature \(f\). The main theorem states that a solution exists under the following assumptions. (a) Critical
Xuezhang Chen +3 more
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The authors study the Nirenberg problem on \(S^2\): Given a smooth function \(f:S^2\to\mathbb{R}\) which is positive somewhere, does there exist a metric \(g\) on \(S^2\) conformally equivalent to the standard metric \(g_0\) and having Gaussian curvature \(f\). The main theorem states that a solution exists under the following assumptions. (a) Critical
Xuezhang Chen +3 more
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Applied Optics, 2019
The aim of infrared and visible image fusion is to obtain an integrated image that contains obvious object information and high spatial resolution background information.
W. Tan +5 more
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The aim of infrared and visible image fusion is to obtain an integrated image that contains obvious object information and high spatial resolution background information.
W. Tan +5 more
semanticscholar +1 more source
Single-Frame Infrared Small Target Detection via Gaussian Curvature Inspired Network
IEEE Transactions on Geoscience and Remote SensingSingle-frame infrared small target detection (SIRSTD) is in urgent demand for many practical tasks, such as fire rescue and urban management systems, benefiting from the excellent performance of infrared (IR) imaging in harsh climates and low-light ...
Mingjin Zhang +5 more
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Controlling Hamiltonian chaos via Gaussian curvature
Physical Review E, 1999We present a method allowing one to partly stabilize some chaotic Hamiltonians which have two degrees of freedom. The purpose of the method is to avoid the regions of V(q(1),q(2)) where its Gaussian curvature becomes negative. We show the stabilization of the Hénon-Heiles system, over a wide area, for the critical energy E=1/6.
Oloumi, Atta, Teychenné, Denis
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Mesh segmentation driven by Gaussian curvature
The Visual Computer, 2005Mesh parameterization is a fundamental problem in computer graphics as it allows for texture mapping and facilitates many mesh processing tasks. Although there exists a variety of good parameterization methods for meshes that are topologically equivalent to a disk, the segmentation into nicely parameterizable charts of higher genus meshes has been ...
Yamauchi, H. +3 more
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Applied Optics, 2018
The aim of multi-focus image fusion technology is to acquire an image of every scene all focused on the same visual point at different focal settings.
W. Tan +4 more
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The aim of multi-focus image fusion technology is to acquire an image of every scene all focused on the same visual point at different focal settings.
W. Tan +4 more
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Gaussian curvature on singular surfaces
Journal of Geometric Analysis, 1993We consider the problem of prescribing Gaussian curvature on surfaces with conical singularities in both critical and super critical cases. First we prove a variant of Kazdan-Warner type necessary conditions. Then we obtain sufficient conditions for a function to be the Gaussian curvature of some pointwise conformal singular metric.
Chen, Wenxiong, Li, Congming
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Graph Regularisation Using Gaussian Curvature
2009This paper describes a new approach for regularising triangulated graphs. We commence by embedding the graph onto a manifold using the heat-kernel embedding. Under the embedding, each first-order cycle of the graph becomes a triangle. Our aim is to use curvature information associated with the edges of the graph to effect regularisation.
Elghawalby H., Hancock E.R.
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Underwater Image Enhancement by Gaussian Curvature Filter
IEEE International Conference on Signal and Image Processing, 2019We develop a new Retinex-based variational model for enhancing single underwater image by imposing Gaussian curvature priors on the illumination and the reflection.
J. Xiong, Yuxiang Dai, Peixian Zhuang
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