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» Inequalities for the curvature of curves and surfaces
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COMPGEOM
2005
ACM
13 years 6 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
WSCG
2003
165views more  WSCG 2003»
13 years 5 months ago
A Shape Constrained Curve Approximation Method for Styling Surfaces Modeling
The problem of styling surfaces modeling is tackled. An approach based on section curves fairing is chosen. The concept of template curves is developed for approximating profiles ...
Yves Mineur
CAGD
2000
246views more  CAGD 2000»
13 years 4 months ago
Estimation of the principle curvatures of approximated surfaces
This paper presents a method for estimating curvature values of a surface, which is given only approximatively, e.g., by measured data. The presented method requires estimates of ...
Christian Wollmann
SMA
2009
ACM
219views Solid Modeling» more  SMA 2009»
13 years 11 months ago
Log-aesthetic space curve segments
For designing aesthetic surfaces, such as the car bodies, it is very important to use aesthetic curves as characteristic lines. In such curves, the curvature should be monotonical...
Norimasa Yoshida, Ryo Fukuda, Takafumi Saito
EMMCVPR
2011
Springer
12 years 4 months ago
Curvature Regularization for Curves and Surfaces in a Global Optimization Framework
Length and area regularization are commonplace for inverse problems today. It has however turned out to be much more difficult to incorporate a curvature prior. In this paper we pr...
Petter Strandmark, Fredrik Kahl