Research

A Study of Spectral Expansion for Shape Correspondence
The main task in three dimensional non-rigid shape correspondence is to retrieve similarities between two or more similar three …
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Clustering-Based Quantisation for PDE-Based Image Compression
Optimal known pixel data for inpainting in compression codecs based on partial differential equations is real-valued and thereby …
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Classic Wave Equation Can Do Shape Correspondence
A major task in non-rigid shape analysis is to retrieve correspondences between two almost isometric 3D objects. An important tool for …
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Classic Wave Equation Can Do Shape Correspondence
Sparse $l_{1}$ Regularisation of Matrix Valued Models for Acoustic Source Characterisation
We present a strategy for the recovery of a sparse solution of a common problem in acoustic engineering, which is the reconstruction of …
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Optimised Anisotropic Poisson Denoising
The aim of this paper is to deal with Poisson noise in images arising in electron microscopy. We consider here especially images …
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Analytic Existence and Uniqueness Results for PDE-Based Image Reconstruction with the Laplacian
Partial differential equations are well suited for dealing with image reconstruction tasks such as inpainting. One of the most …
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Shape Matching by Time Integration of Partial Differential Equations
The main task in three dimensional shape matching is to retrieve correspondences between two similar three dimensional objects. To this …
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Matrix-Valued Levelings for Colour Images
Morphological levelings represent a useful tool for the decomposition of an image into cartoon and texture components. Moreover, they …
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Understanding Image Inpainting with the Help of the Helmholtz Equation
Partial differential equations have recently been used for image compression purposes. One of the most successful frameworks solves the …
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Highly Robust Clustering of GPS Driver Data for Energy Efficient Driving Style Modelling
This paper presents a novel approach to distinguish driving styles with respect to their energy efficiency. A distinct property of our …
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