Image representation and reconstruction by compositing Gaussian ellipses

Abstract In this paper, a method of stroke‐based rendering is proposed for image representation and reconstruction. The proposed method involves compositing a set of ellipses that greatly vary in location, size, rotation angle, color, and opacity. This study proves that alpha compositing is differen...

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Main Author: Chang‐Chieh Cheng
Format: Article
Language:English
Published: Wiley 2024-02-01
Series:IET Image Processing
Subjects:
Online Access:https://doi.org/10.1049/ipr2.12964
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author Chang‐Chieh Cheng
author_facet Chang‐Chieh Cheng
author_sort Chang‐Chieh Cheng
collection DOAJ
description Abstract In this paper, a method of stroke‐based rendering is proposed for image representation and reconstruction. The proposed method involves compositing a set of ellipses that greatly vary in location, size, rotation angle, color, and opacity. This study proves that alpha compositing is differentiable if a two‐dimensional Gaussian function is used to draw a solid ellipse. The gradient method can then be employed for automatically identifying the parameters of each ellipse such that the difference between the input image and the composited image is minimized. Experimental results indicate that the proposed method can represent various types of images including portraits, landscapes, buildings, street scenes, artificial objects, medical images etc. The proposed method can particularly render the most details and significant features of an input image with fewer strokes compared to other stroke‐based rendering algorithms. This study also demonstrates that the proposed method can be applied in painting style simulation and sparse‐view computed tomography imaging.
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spelling doaj.art-cde0d85cd96e404c8918df06ffe642ba2024-02-02T09:31:01ZengWileyIET Image Processing1751-96591751-96672024-02-0118249350610.1049/ipr2.12964Image representation and reconstruction by compositing Gaussian ellipsesChang‐Chieh Cheng0Information Technology Service Center National Yang Ming Chiao Tung University Hsinchu TaiwanAbstract In this paper, a method of stroke‐based rendering is proposed for image representation and reconstruction. The proposed method involves compositing a set of ellipses that greatly vary in location, size, rotation angle, color, and opacity. This study proves that alpha compositing is differentiable if a two‐dimensional Gaussian function is used to draw a solid ellipse. The gradient method can then be employed for automatically identifying the parameters of each ellipse such that the difference between the input image and the composited image is minimized. Experimental results indicate that the proposed method can represent various types of images including portraits, landscapes, buildings, street scenes, artificial objects, medical images etc. The proposed method can particularly render the most details and significant features of an input image with fewer strokes compared to other stroke‐based rendering algorithms. This study also demonstrates that the proposed method can be applied in painting style simulation and sparse‐view computed tomography imaging.https://doi.org/10.1049/ipr2.12964computerised tomographygradient methodsimage reconstructionimage representationrendering (computer graphics)
spellingShingle Chang‐Chieh Cheng
Image representation and reconstruction by compositing Gaussian ellipses
IET Image Processing
computerised tomography
gradient methods
image reconstruction
image representation
rendering (computer graphics)
title Image representation and reconstruction by compositing Gaussian ellipses
title_full Image representation and reconstruction by compositing Gaussian ellipses
title_fullStr Image representation and reconstruction by compositing Gaussian ellipses
title_full_unstemmed Image representation and reconstruction by compositing Gaussian ellipses
title_short Image representation and reconstruction by compositing Gaussian ellipses
title_sort image representation and reconstruction by compositing gaussian ellipses
topic computerised tomography
gradient methods
image reconstruction
image representation
rendering (computer graphics)
url https://doi.org/10.1049/ipr2.12964
work_keys_str_mv AT changchiehcheng imagerepresentationandreconstructionbycompositinggaussianellipses