Photography method solves manifold invariants.
arXiv research
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Paper develops techniques to create 3-manifold invariants.
Study finds multiple solutions for Van der Waals-Cahn-Hilliard equation on manifolds.
Study finds lower bounds for solutions on Riemannian orbifolds.
Model learns individual preferences for photo aesthetics.
This paper classifies typhoon damage features using aerial photography.
DNCF framework recovers real scenes from imperfect images robustly.
Deep learning detects diabetic retinopathy stages from single fundus photos.
We present and discuss several old and new methods for mapping a circular disc to a square. In particular, we present analytical expressions for mapping each point (u,v) inside the circular disc to a point (x,y) inside a square region. Ideally, we want the mapping to be smooth and invertible. In addition, we put emphas…
The paper solves pentagon equations using triangulations and edge transformations.
Improved CNN model accuracy and generalizability through data pre-processing.
Recently, impressive denoising results have been achieved by Bayesian approaches which assume Gaussian models for the image patches. This improvement in performance can be attributed to the use of per-patch models. Unfortunately such an approach is particularly unstable for most inverse problems beyond denoising. In th…
The problem of Poisson denoising appears in various imaging applications, such as low-light photography, medical imaging and microscopy. In cases of high SNR, several transformations exist so as to convert the Poisson noise into an additive i.i.d. Gaussian noise, for which many effective algorithms are available. Howev…
In low light or short-exposure photography the image is often corrupted by noise. While longer exposure helps reduce the noise, it can produce blurry results due to the object and camera motion. The reconstruction of a noise-less image is an ill posed problem. Recent approaches for image denoising aim to predict kernel…
MCGDiff uses SGM to guide SMC for solving ill-posed linear inverse problems.
Survey on Allen-Cahn equations and systems, focusing on multiplicity results and geometric interpretation.
Paper proposes a method to enhance low-quality retinal images using optimal transport.
Automatic classification of trees using remotely sensed data has been a dream of many scientists and land use managers. Recently, Unmanned aerial vehicles (UAV) has been expected to be an easy-to-use, cost-effective tool for remote sensing of forests, and deep learning has attracted attention for its ability concerning…
Fluorescence microscopy has enabled a dramatic development in modern biology. Due to its inherently weak signal, fluorescence microscopy is not only much noisier than photography, but also presented with Poisson-Gaussian noise where Poisson noise, or shot noise, is the dominating noise source. To get clean fluorescence…
Proves existence of multiple solutions to a multiphasic equation on manifolds.
OTRE uses OT to improve retinal images, outperforming existing methods.
Neural networks have proven their capabilities by outperforming many other approaches on regression or classification tasks on various kinds of data. Other astonishing results have been achieved using neural nets as data generators, especially in settings of generative adversarial networks (GANs). One special applicati…
Deep learning has been successfully applied to a variety of image classification tasks. There has been keen interest to apply deep learning in the medical domain, particularly specialties that heavily utilize imaging, such as ophthalmology. One issue that may hinder application of deep learning to the medical domain is…