scholarly journals Spectral residual method for nonlinear equations on Riemannian manifolds

2021 ◽  
Vol 40 (7) ◽  
Author(s):  
Harry Oviedo ◽  
Hugo Lara
Keyword(s):  
Nonlinear Equations ◽  
Riemannian Manifolds ◽  
Residual Method ◽  
Spectral Residual

Flower Bud Detection Based on Saliency Map and SURF Feature-Points

2015 ◽  
Vol 740 ◽  
pp. 656-659
Author(s):  
You Jun Yue ◽  
Xiang Li ◽  
Hui Zhao
Keyword(s):  
Computer Vision ◽  
Saliency Map ◽  
Grading System ◽  
Feature Points ◽  
Flower Bud ◽  
Residual Method ◽  
Detection Model ◽  
Spectral Residual ◽  
Automatic Grading

The flower bud ratio is an important criteria and nodus in flower automatic grading realization, however using computer vision to detect flower bud still remains a challenge. This paper presents a flower bud detection model as a resolution: By using spectral residual method to calculate saliency map and using SURF feature-points, we can quickly and unambiguously obtain the SURF histogram, then construct the flower bud detection model with SVM. The experiments indicates that the flower bud detection model which provides an effective way for measuring bud ratio in flower automatic grading system can distinguish between bud and bloom with good results.

scholarly journals A Class of Fully Nonlinear Equations Arising in Conformal Geometry

2020 ◽  
Author(s):  
Li Chen ◽  
Xi Guo ◽  
Yan He
Keyword(s):  
Nonlinear Equations ◽  
Riemannian Manifolds ◽  
Existence Result ◽  
Conformal Geometry ◽  
Fully Nonlinear Equations ◽  
Fully Nonlinear ◽  
Yamabe Equation ◽  
Local Gradient

Abstract In this paper, we consider the equations of Krylov type in conformal geometry on closed smooth Riemannian manifolds, which can be viewed as an extension of $\sigma _k$-Yamabe equation. Moreover, we prove local gradient and 2nd-derivative estimates for solutions to these equations and establish an existence result.

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