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Eurographics Symposium on Geometry Processing (2005) M. Desbrun, H. Pottmann (Editors)

Summary: Eurographics Symposium on Geometry Processing (2005)
M. Desbrun, H. Pottmann (Editors)
Smooth Feature Lines on Surface Meshes
Klaus Hildebrandt
Konrad Polthier
Max Wardetzky
Zuse Institute Berlin
Feature lines are salient surface characteristics. Their definition involves third and fourth order surface deriva-
tives. This often yields to unpleasantly rough and squiggly feature lines since third order derivatives are highly
sensitive against unwanted surface noise. The present work proposes two novel concepts for a more stable algo-
rithm producing visually more pleasing feature lines: First, a new computation scheme based on discrete differ-
ential geometry is presented, avoiding costly computations of higher order approximating surfaces. Secondly, this
scheme is augmented by a filtering method for higher order surface derivatives to improve both the stability of the
extraction of feature lines and the smoothness of their appearance.
1. Introduction
Feature lines are curves on surfaces carrying - in a few
strokes - visually most prominent characteristics. Their ex-
traction from discrete meshes has become an area of in-
tense research [Thi96] [OBS04] [YBS05] [SF03] [HG01]


Source: Andrzejak, Artur - Konrad-Zuse-Zentrum für Informationstechnik Berlin
Polthier, Konrad - Institut für Mathematik, Freie Universität Berlin
Wardetzky, Max - Institut für Numerische und Angewandte Mathematik, Georg-August-Universität Göttingen


Collections: Computer Technologies and Information Sciences; Mathematics