Introduction to Outlines
The articles in this section demonstrate that despite the emphasis in recent years on landmark-based morphometric methods (e.g., Bookstein, 1991; Rohlf and Marcus, 1993) there have also been important advances in methods for the analysis of outline data. This is important because in many cases there are not enough landmarks, or not enough in the right places to capture the variation in shape of the biological structure of interest adequately. The methods Rohlf and Bookstein ( 1990) discussed consisted simply of fitting various functions (usually weighted sums of sine and cosine terms) to an outline curve-or else deriving an “empirical function” (actually, just weighted linear combinations of tangent angles) to describe an outline as in eigenshape analysis. The four papers in this section represent distinct new approaches or important extensions to existing approaches.
KeywordsEmpirical Function Weighted Linear Combination Important Extension Bezier Curve Space Curf
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- Roth, L. 1993. On three-dimensional morphometries, and on the identification oflandmark points. Pages 41–61 in L. F. Marcus, E. Bello, and A. Garcia-Valdecasas, (eds.), Contributions to morphometries. Monografias del Museo Nacional de Ciencias 8, Madrid.Google Scholar
- Rohlf, F. J., and F. L. Bookstein (eds.) 1990. Proceedings of the Michigan morphometrics workshop. University of Michigan Museum of Zoology Special Publication 2.Google Scholar