Graph Bundling by Kernel Density Estimation
نویسندگان
چکیده
منابع مشابه
Graph Bundling by Kernel Density Estimation
We present a fast and simple method to compute bundled layouts of general graphs. For this, we first transform a given graph drawing into a density map using kernel density estimation. Next, we apply an image sharpening technique which progressively merges local height maxima by moving the convolved graph edges into the height gradient flow. Our technique can be easily and efficiently implement...
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We discuss a robust data sharpening method for rendering a standard kernel estimator, with a given bandwidth, unimodal. It has theoretical and numerical properties of the type that one would like such a technique to enjoy. In particular, we show theoretically that, with probability converging to 1 as sample size diverges, our technique alters the kernel estimator only in places where the latter...
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Preface The following diploma thesis is thought to be a diploma thesis in applied statistics. I declare this in the first paragraph of my work, because you can treat this subject either from a theoretic or an applied view, although the borders between these two areas of statistics cannot be drawn exactly. The reason why I got the idea to treat this subject, is that on the one hand density estim...
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A modification of the kernel estimator for density estimation is proposed which allows the incorporation of local information about the smoothness of the density. The estimator uses a small set of bandwidths rather than a single global one as in the standard kernel estimator. It uses a set of filtering functions which determine the extent of influence of the individual bandwidths. Various versi...
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Kernel density estimation is a widely used method for estimating a distribution based on a sample of points drawn from that distribution. Generally, in practice some form of error contaminates the sample of observed points. Such error can be the result of imprecise measurements or observation bias. Often this error is negligible and may be disregarded in analysis. In cases where the error is no...
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ژورنال
عنوان ژورنال: Computer Graphics Forum
سال: 2012
ISSN: 0167-7055
DOI: 10.1111/j.1467-8659.2012.03079.x