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Towards an Observer-oriented Theory of Shape Comparison
(The Eurographics Association, 2016)
In this position paper we suggest a possible metric approach to shape comparison that is based on a mathematical formalization of the concept of observer, seen as a collection of suitable operators acting on a metric space ...
An Edit Distance for Reeb Graphs
(The Eurographics Association, 2016)
We consider the problem of assessing the similarity of 3D shapes using Reeb graphs from the standpoint of robustness under perturbations. For this purpose, 3D objects are viewed as spaces endowed with real-valued functions, ...
An Experimental Shape Matching Approach for Protein Docking
(The Eurographics Association, 2016)
Proteins play a vital role in biological processes, with their function being largely determined by their structure. It is important to know what a protein binds, where it binds, how it binds, and what is its final ...
Mesh Statistics for Robust Curvature Estimation
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
While it is usually not difficult to compute principal curvatures of a smooth surface of sufficient differentiability, it is a rather difficult task when only a polygonal approximation of the surface is available, because ...
Incorporating Sharp Features in the General Solid Sweep Framework
(The Eurographics Association and John Wiley & Sons Ltd., 2016)
This paper extends a recently proposed robust computational framework for constructing the boundary representation (brep) of the volume swept by a given smooth solid moving along a one parameter family h of rigid motions. ...