Paddy is one of major crops grown in China. Fractal dimension is an important parameter used to describe geometrical characteristics of many natural objects. The objective of this study is to investigate mathematical relationships between the fractal dimension and the yield of the paddy spike based on the fractal theory and the image processing technologies. The color images of paddy spikes wer...

In this study, we present a method to measure changes over time of fractal dimension. We confirmed that our method can calculate the fractal dimension with the same precision as conventional methods, and tracking performance of our method is higher than that of the conventional methods.

The paper contains a brief description of fractal image compression methods with sample compression results. We also present comparative results between two fractal schemes, discrete cosine transform, and a wavelet method. We show that, with the PSNR as a measure of image quality, some fractal schemes perform best over the range of compressions of most interest.

We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.

Fractal is a tool in data fitness and interpolation. It’s better to fit complex graphs. But optimization of fitness has proven to be a challenging problem in application of fractal. In this paper, a description of a genetic algorithm (GA) and the software written to optimize effect on self-affine fractal interpolation function (AFIF) implement is given. The software developed was tested on real...

Osteoporosis is a condition of decreased bone mass. This leads to fragile bones which are at an increased risk for fractures, more often, it affects postmenopausal women. In this paper we propose a study of osteoporosis with the fractal dimension. After an introduction to the theory and fractal dimension, we use the box counting method for the segmentation of radiographic images, the study of t...

In this paper, the fractal characteristics of goose down assembly are described by determining the pore area fractal dimension and the tortuosity fractal dimension. The goose down assembly, filled with mass of down fibers and pores, is loose and ductile. The pores are varying shapes and sizes, and distribute unevenly. Firstly, micro computed tomography is used to observe the internal microstruc...

The Hausdorff fractal dimension has been a fast-to-calculate method to estimate complexity of fractal shapes. In this work, a modified version of this fractal dimension is presented in order to make it more robust when applied in estimating complexity of non-fractal images. The modified Hausdorff fractal dimension stands on two features that weaken the requirement of presence of a shape and als...

This paper presents a new method for the detection of abnormalities in microscopic images of breast tissue. Breast cancer is the most common form of cancer among women. The diagnosis is confirmed by the subjective evaluation of tissue samples, that is usually done by the pathologist manually. An automatic system for the analysis of tissue samples would be of great help. The aim of this study wa...

Describing and extracting image’s feature is a key question in content-based image retrieval system, and this paper puts forward a novel image retrieval method using image information entropy and fractal coding. First, compared with a given threshold computed from the inquired image, each image in the database is classified by computing its image entropy. Second, the inquired image’s fractal co...