نتایج جستجو برای: box counting method

تعداد نتایج: 1730922  

Journal: :IJALR 2012
Shiguo Jiang Desheng Liu

The difficulty to obtain a stable estimate of fractal dimension for stochastic fractal (e.g., urban form) is an unsolved issue in fractal analysis. The widely used box-counting method has three main issues: 1) ambiguities in setting up a proper box cover of the object of interest; 2) problems of limited data points for box sizes; 3) difficulty in determining the scaling range. These issues lead...

Journal: :Oral surgery, oral medicine, oral pathology, oral radiology, and endodontics 2009
Yen-Yun Yu Hsieh Chen Chi-Hao Lin Chung-Ming Chen Tina Oviir Ssu-Kuang Chen Lars Hollender

OBJECTIVE Mathematical morphology and box counting were used to extract trabecular pattern and to evaluate changes of reactive bone following root canal treatment. STUDY DESIGN Periapical radiographs were digitized and processed with mathematical morphology operations known as skeletonization. The trabecular patterns resulting from this skeletonization process were further analyzed with fract...

2011
Paul Harmon

One of the major events in the evolution of modern process thinking was the publication of Michael Porter’s book, Competitive Advantage, in 1985, which introduced the idea of the Value Chain. [2] (See Figure 1.) A value chain is the ultimate process of an organization. A value chain describes all of the activities that an organization undertakes to produce a product. The manager of the company ...

2006
JOHN A. FROHLIGER BRIAN HAHN

There are times when, in their haste to solve a particular problem, students (and their instructors) miss an opportunity to notice some interesting mathematics. For example, when calculus students are introduced to the derivatives of inverse trigonometric functions, they frequently run across a classic problem that goes something like this: There is a 6-foot tall picture on a wall, 2 feet above...

Journal: :IEEE MultiMedia 1999
Jun Ohya Jun Kurumisawa Ryohei Nakatsu Kazuyuki Ebihara Shoichiro Iwasawa David Harwood Thanarat Horprasert

29 W e all want to change our appearance in some way. For example, makeup helps enhance appearance, although it primarily relates to the face. Many people try to change their moods by changing their accessories, clothes, and hairstyles. Some people even resort to plastic surgery to make permanent changes. We often observe behaviors that stem from a more radical desire for metamorphosis. For exa...

2004
Chaya Compton John Kenneth Galbraith

Although the Gross Domestic Product of the United States has been steadily rising since the 1950s, the gap between rich and poor is increasing (see Figure 1). John Kenneth Galbraith explained the importance of inequality when he stated, “People are poverty-stricken when their income, even if adequate for survival, falls markedly behind that of the community. Then they cannot have what the large...

2007
Larry McKay Ankur Roy Edmund Perfect William M. Dunne Larry D. McKay

[1] Box counting is widely used for characterizing fracture networks as fractals and estimating their fractal dimensions (D). If this analysis yields a power law distribution given by N / r , where N is the number of boxes containing one or more fractures and r is the box size, then the network is considered to be fractal. However, researchers are divided in their opinion about which is the bes...

Journal: :Eur. J. Comb. 2011
Matjaz Konvalinka

Let λ = (λ1, λ2, . . . , λl), λ1 ≥ λ2 ≥ . . . ≥ λl > 0, be a partition of n, λ ⊢ n, and let [λ] = {(i, j) ∈ Z : 1 ≤ i ≤ l, 1 ≤ j ≤ λi} be the corresponding Young diagram. The conjugate partition λ is defined by λj = max{i : λi ≥ j}. We will freely use implications such as i ≤ j ⇒ λi ≥ λj. The hook Hz ⊆ [λ] is the set of squares weakly to the right and below of z = (i, j) ∈ [λ], and the hook len...

Journal: :The American Mathematical Monthly 2004
Charles Radin

1. INTRODUCTION. There is obvious value in finding the most efficient ways to arrange objects like balls or polyhedra in a given container. There is more scope for rich mathematics in having the " container " be all of space, so there are no boundaries to spoil the potential symmetry of the optimal arrangements, and this is the type of problem we will consider (see Figure 1 for an efficient and...

2006
Michael Huetl Otto Loistl Johannes Prix

For instance, in Table 1 one observes three bid insertions between 10:30:08.35 and 10:30:12.56, where the best bid in this period was bid 7 at limit 97.53 due to the price-time priority rule of the Xetra system. The insertion of an ask at 10:30:12.56 led to a transaction price of 97.53 and full execution of order 7, 10 and 11. This is illustrated in Figure 1 which contains the information shown...

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