Seed Silhouettes as Geometric Objects: New Applications of Elliptic Fourier Transform to Seed Morphology

Evaluation of soybean seed shape by elliptic Fourier descriptors

Round seeds are desirable for food-type soybean [Glycine max (L.) Merr.], and the genetic control of seed geometry is of scientific interest. The aim of this research was to: (1) compare the seed shape variation of 165 soybean cultivars and to quantify the characteristics of the cultivars, and, (2) to evaluate the seed shape of the parental F1 and F2 populations derived from Tamahomare × Peking...

Discrete integer Fourier transform in real space: elliptic Fourier transform

Applications of the Fourier Transform to Diffraction

1 Review 1.1 Setup In the previous lecture, we considered an apparatus consisting of three planes: • an aperture plane. Coordinates on the aperture plane are denoted by x and y. • a transform plane. Coordinates on the transform plane are denoted by X and Y. • an image plane. Coordinates on the image plane are denoted by x and y. We defined the spatial frequencies, µ = k f X ν = k f Y where f is...

Applications of Fourier Transform to Imaging Analysis

In this report, we propose a novel automatic and computationally efficient method of Fourier imaging analysis using Fourier transform. Besides Fourier transform’s many applications, one can use Fourier transform to select significant frequencies of an observed noisy signal, which can be applied as a model selection tools of (weighted) Fourier series analysis of medical images. Both simulated da...

Seed morphology characteristics in relation to seed loss by water erosion in the Loess Plateau

The role of water erosion on seed loss and on plant establishment and distribution is unknown on the Chinese Loess Plateau, which suffers serious soil erosion. The seed susceptibility of 16 local species to removal by water erosion from loess slopes was determined by rainfall simulation experiments. The experiments were performed on slopes with gradients of 10°, 15°, 20° and 25° for a 60-min du...