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Crawl through Neighbors: A Simple Curve Reconstruction Algorithm
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Given a planar point set sampled from an object boundary, the process of approximating the original shape is called curve reconstruction. In this paper, a novel non-parametric curve reconstruction algorithm based on Delaunay ...
Splines in the Space of Shells
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
Cubic splines in Euclidean space minimize the mean squared acceleration among all curves interpolating a given set of data points. We extend this observation to the Riemannian manifold of discrete shells in which the ...
Visual Analysis of Spatial Variability and Global Correlations in Ensembles of Iso-Contours
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
For an ensemble of iso-contours in multi-dimensional scalar fields, we present new methods to a) visualize their dominant spatial patterns of variability, and b) to compute the conditional probability of the occurrence of ...
A Complex View of Barycentric Mappings
(The Eurographics Association and Blackwell Publishing Ltd., 2011)
Barycentric coordinates are very popular for interpolating data values on polyhedral domains. It has been recently shown that expressing them as complex functions has various advantages when interpolating two-dimensional ...
Visual Exploration of High-Dimensional Data through Subspace Analysis and Dynamic Projections
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
We introduce a novel interactive framework for visualizing and exploring high-dimensional datasets based on subspace analysis and dynamic projections. We assume the high-dimensional dataset can be represented by a mixture ...
Feature-Preserving Reconstruction of Singular Surfaces
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
Reconstructing a surface mesh from a set of discrete point samples is a fundamental problem in geometric modeling. It becomes challenging in presence of 'singularities' such as boundaries, sharp features, and non-manifolds. ...
Compressive Volume Rendering
(The Eurographics Association and John Wiley & Sons Ltd., 2015)
Compressive rendering refers to the process of reconstructing a full image from a small subset of the rendered pixels, thereby expediting the rendering task. In this paper, we empirically investigate three image order ...
Nonrigid Matching of Undersampled Shapes via Medial Diffusion
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
We introduce medial diffusion for the matching of undersampled shapes undergoing a nonrigid deformation. We construct a diffusion process with respect to the medial axis of a shape, and use the quantity of heat diffusion ...
Progressive High-Quality Response Surfaces for Visually Guided Sensitivity Analysis
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
In this paper we present a technique which allows us to perform high quality and progressive response surface prediction from multidimensional input samples in an efficient manner. We utilize kriging interpolation to ...
Mass-Dependent Integral Curves in Unsteady Vector Fields
(The Eurographics Association and Blackwell Publishing Ltd., 2013)
Recent research in flow visualization is focusing on the analysis of time-dependent, but mass-less particles. However, in many application scenarios, the mass of particles - and their resulting inertia - is essential in ...