Minimum curvature variation curves, networks, and surfaces for fair free-form shape design
@inproceedings{Moreton1992MinimumCV,
title={Minimum curvature variation curves, networks, and surfaces for fair free-form shape design},
author={Henry P. Moreton},
year={1992}
}Traditionally methods for the design of free-form curves and surfaces focus on achieving a specific level of inter-element continuity. These methods use a combination of heuristics and constructions to achieve an ultimate shape. Though shapes constructed using these methods are technically continuous, they have been shown to lack fairness, possessing undesirable blemishes such as bulges and wrinkles. Fairness is closely related to the smooth and minimal variation of curvature.
In this work we… Expand
Figures and Tables from this paper
figure 2.11 
figure 2.13 
figure 2.15 
figure 2.16 
figure 2.4 
figure 2.5 
figure 2.6 
figure 2.7 
figure 2.8 
figure 3.1 
figure 3.10 
figure 3.13 
figure 3.14 
figure 3.16 
figure 3.17 
figure 3.19 
figure 3.2 
figure 3.20 
figure 3.22 
figure 3.5 
figure 3.6 
figure 3.7 
figure 3.8 
figure 4.1 
table 4.1 
figure 4.11 
figure 4.11 
figure 4.12 
figure 4.13 
figure 4.13 
figure 4.14 
figure 4.14 
figure 4.15 
figure 4.15 
figure 4.16 
figure 4.16 
figure 4.17 
figure 4.18 
figure 4.19 
figure 4.2 
figure 4.20 
figure 4.21 
figure 4.21 
figure 4.22 
figure 4.22 
figure 4.5 
figure 4.6 
figure 4.7 
figure 4.8 
figure 5.10 
table 5.1 
figure 5.11 
figure 5.12 
figure 5.13 
figure 5.14 
figure 5.14 
figure 5.15 
figure 5.15 
figure 5.2 
figure 5.3 
figure 5.4 
figure 5.5 
figure 5.7 
figure 5.8 
figure 5.9 
figure 6.11 
figure 6.13 
figure 6.15 
figure 6.17 
figure 6.18 
figure 6.19 
figure 6.2 
figure 6.20 
figure 6.2 
figure 6.21 
figure 6.22 
figure 6.22 
figure 6.23 
figure 6.24 
figure 6.25 
figure 6.26 
figure 6.27 
figure 6.28 
figure 6.30 
figure 6.6 
figure 6.7 
figure 6.8 
figure 6.9
70 Citations
Scale-Invariant Functionals for Smooth Curves and Surfaces
- Mathematics, Computer Science
- Geometric Modelling
- 1993
- 11
From Spiral to Spline: Optimal Techniques in Interactive Curve Design
- Mathematics, Computer Science
- 2009
- 53
- PDF
A variational method to model G1 surfaces over triangular meshes of arbitrary topology in R3
- Mathematics, Computer Science
- TOGS
- 2000
- 14
Visualization and analysis of regions of monotonic curvature for interpolating segments of extended sectrices of Maclaurin
- Mathematics, Computer Science
- Comput. Aided Geom. Des.
- 2017
- 2
References
SHOWING 1-10 OF 281 REFERENCES
Deformable curve and surface finite-elements for free-form shape design
- Mathematics, Computer Science
- SIGGRAPH
- 1991
- 440
- PDF
Geometric continuity, shape parameters, and geometric constructions for Catmull-Rom splines
- Mathematics, Computer Science
- TOGS
- 1988
- 74
- PDF
Curvature and the fairness of curves and surfaces
- Mathematics, Computer Science
- IEEE Computer Graphics and Applications
- 1989
- 145
Shape preserving interpolation by curvature continuous parametric curves
- Mathematics, Computer Science
- Comput. Aided Geom. Des.
- 1988
- 65