Abstract
The radius of curvature of a logarithmic spiral is proportional to its arc length, a property that is desirable for the design of aesthetic curves. We describe a method for approximating logarithmic spiral segments by rational cubic spline curves. This approach provides the tools for the construction of planar spline curves whose curvature radius plot is continuous and close to piecewise linear. A number of examples illustrate the approximation method.
Original language | English (US) |
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Pages (from-to) | 515-532 |
Number of pages | 18 |
Journal | Computer Aided Geometric Design |
Volume | 14 |
Issue number | 6 |
DOIs | |
State | Published - Aug 1997 |
Keywords
- Approximation
- Logarithmic spirals
- Rational cubic spline curves
- Shape optimization
ASJC Scopus subject areas
- Modeling and Simulation
- Automotive Engineering
- Aerospace Engineering
- Computer Graphics and Computer-Aided Design