Assessment of the Association between the Three-dimensional Shape of the Corolla and Two-dimensional Shapes of Petals Using Fourier Descriptors and Principal Component Analysis in Eustoma grandiflorum

The shapes of the petal curvature and two-dimensional (2D) petal shape of Eustoma flowers were quantitatively evaluated by Fourier transform analysis. Petal curvature was traced along the abaxial surface of petal midribs observed in the lateral view. The curved lines were transformed to Fourier coefficients and then subjected to principal component analysis. Petal curvature could be described using the first three principal components (PC), which accounted for 95% variation of overall PCs. The first and second PC described the opening angle of the flower and inward curvature of the middle the part of the petals, respectively. Petal shape could be described using the first two PCs, representing petal width and the position of the weighted center, respectively. A total of 122 cultivars and breeding lines were clustered based on Self-Organization Maps (SOMs) using the Fourier coefficients of petal curvature and petal shape. The SOM characterized four typical corolla shapes; 1) bowlshaped, 2) tall-cup-shaped, 3) trumpet-shaped, and 4) funnel-shaped corolla. The second PC of petal curvature showed a high correlation with the first PC of the 2D petal shape, indicating that the formation of petal curvature observed in bowland tall-cup-shaped corollas is associated with the wide shape of the petals.

[1]  S. Ninomiya,et al.  Genetic Combining Ability of Petal Shape in Garden Pansy (Viola × wittrockiana Gams) based on Image Analysis , 2006, Euphytica.

[2]  Teuvo Kohonen,et al.  Self-Organizing Maps , 2010 .

[3]  J. Willis,et al.  Pleiotropic Quantitative Trait Loci Contribute to Population Divergence in Traits Associated With Life-History Variation in Mimulus guttatus , 2006, Genetics.

[4]  Herbert Freeman,et al.  Computer Processing of Line-Drawing Images , 1974, CSUR.

[5]  Charles R. Giardina,et al.  Elliptic Fourier features of a closed contour , 1982, Comput. Graph. Image Process..

[6]  Seiji Matsuura,et al.  Evaluation of variation of root shape of Japanese radish (Raphanus sativus L.) based on image analysis using elliptic Fourier descriptors , 1998, Euphytica.

[7]  C. Kuhlemeier,et al.  Genetics of flower size and nectar volume in Petunia pollination syndromes , 2006, Planta.

[8]  Seishi Ninomiya,et al.  Analysis of petal shape variation of Primula sieboldii by elliptic fourier descriptors and principal component analysis. , 2004, Annals of botany.

[9]  Gösta H. Granlund,et al.  Fourier Preprocessing for Hand Print Character Recognition , 1972, IEEE Transactions on Computers.

[10]  Seishi Ninomiya,et al.  Quantitative Evaluation of Partial Shape Characteristics of Petal in Sacred Lotus Based on P-type Fourier Descriptors , 2005 .

[11]  J. Bangham,et al.  Growth dynamics underlying petal shape and asymmetry , 2003, Nature.

[12]  H. Iwata,et al.  SHAPE: a computer program package for quantitative evaluation of biological shapes based on elliptic Fourier descriptors. , 2002, The Journal of heredity.

[13]  E. Coen,et al.  Genetic Control of Surface Curvature , 2003, Science.

[14]  S. Ninomiya,et al.  Quantitative Evaluation of Petal Shape and Picotee Color Pattern in Lisianthus by Image Analysis , 2006 .

[15]  D. Schemske,et al.  Quantitative trait loci affecting differences in floral morphology between two species of monkeyflower (Mimulus). , 1998, Genetics.

[16]  Ralph Roskies,et al.  Fourier Descriptors for Plane Closed Curves , 1972, IEEE Transactions on Computers.

[17]  Seishi Ninomiya,et al.  Quantitative Evaluation of Soybean (Glycine max L. Merr.) Leaflet Shape by Principal Component Scores Based on Elliptic Fourier Descriptor , 1995 .

[18]  Seishi Ninomiya,et al.  The Evaluation of Genotype × Environment Interactions of Citrus Leaf Morphology Using Image Analysis and Elliptic Fourier Descriptors , 2002 .

[19]  P. Prusinkiewicz,et al.  The genetics of geometry. , 2004, Proceedings of the National Academy of Sciences of the United States of America.

[20]  Seishi Ninomiya,et al.  Quantitative evaluation of common buckwheat (Fagopyrum esculentum Moench) kernel shape by elliptic Fourier descriptor , 2004, Euphytica.

[21]  Hiroyoshi Iwata,et al.  Quantitative evaluation of the degree of sprout leaf bending of rice cultivars using P-type Fourier descriptors and principal component analysis , 2007, Euphytica.

[22]  Mihoshi Yokoo,et al.  Quantitative analysis of corolla shapes and petal contours in single-flower cultivars of lisianthus , 2009 .