RGB Components Color Images Encryption in FRT Ranges

RGB Components Color Images Encryption in FRT Ranges RGB Components Color Images Encryption in FRT Ranges Somayeh Komeylian Department of Tel-Communication Engineering, Islamic Azad University South Tehran Branch, Tehran, Iran Armin Mehrabian Department of Medical, Mashhad Medical Science University, Mashhad, Iran Saeed Komeylian Factory of graduated students, Department of Tel-Communication Engineering, Sharif University of Technology, Tehran, Iran Latest works are doing on date encryption/color Image in optic range as well as Digital ranges. In this research, color Images encryption has been done by RGB components in FRT ranges for any kind of encryption random phase codes. Moreover, one single-part encryption method has been performed for color twin images. Encrypted twin RGB images by their color map converted to indexed format. One Algorithm used for incorporating two images in order to encrypt in FRT domain. Outlined Algorithm of 15entering parameter involved generally that random phases could be considered as keys for encryption. Unsuitable selection of any keys during encryption will have negative results. Presence of many keys help in building system thats intensely safe against unpermitted accessibility it could be seen that encrypted images were completely safe against unpermitted time accessibility that has false fractional commands in all three channels. Keywords: RGB Components; Color Images; Encryption. By developing Multimedia network, connection and publication techniques, tendency to send and gain Digital Date, especially images, extended a lot. Protecting individual and hiding things for permitted users and ensuring accessibility for legal Data and security considered as the most important subject in connections and image storage. One of the certain ways for immunity is encryption different optic methods recommended well for Digital methods and encrypting images. That consisted of good recognition of (DRPE) Double random phase encryption [1-3]. This method statistically uses Double Random phase in entrance and Fourier phase for input image encryption into a stationary white noise. This method generalization conducted toward fractional Fourier domain and then considerable help has been done by authors and researchers [7, 8]. In addition, many remarkable works are doing on date encryption/color Image in optic range as well as Digital ranges. In the other related works for color Im ages encryption, RGB color Image RGB components in FRT ranges used for any kind of encryption random phase codes and FRT fractional commands as keys [6]. Moreover, one single-part encryption method has been performed for color twin images [5]. Encrypted twin RGB images by their color map converted to indexed format. One Algorithm used for incorporating two images in order to encrypt in FRT domain. Mentioned Method is Single-part and permitted processing in a simple direction [4]. A. Definition of FRT Conventionally, The nth order FRT fn(xn) Of a function f(x) is calculated using integral transform kernel given by follow equation [4]. (1) Where (2) Moreover, X and xn represent the coordinate systems for the input (zero order) domain and the output (nth order) fractional domain respectively. The FRT is linear and has the property that it is index additive: (3) Where a and b are different fractional orders of the FRT. It is possible to extend the definition of the FRT order beyond  ±2 (4) Where m is an integer. B. Concept of Colored Indexed Images Colored image in our context is represented as fn(x. y), where   x and y are spatial coordinates and n denotes the index of primary color components (n=0, 1, 2) f0(x. y), f1(x. y) and f2(x. y) correspond to RGB color components respectively. A colored image con be viewed as a stack as a stack of RGB components forming a m-n-3 array, with each pixel as a triplet corresponding to the values of the primary color components. On the other hand, an indexed image consists of a data matrix and a color map matrix. The color map matrix is an m-3 array of class double containing floating point values in the range [0, 1], where m is a function of the color system and it defines the number of colors it defines. Each row of the color map matrix specifies the red, green, and blue components of a single color. An indexed image uses direct mapping of the pixel intensity values to color map values. The color of each image pixel is determined by using the corresponding value of the data matrix as a pointer into color map. Unlike a colored image (Which is a 3-D matrix), an indexed image is a 2-D array, and simplifies the encryption as the color map is uniquely defined for a given color system. The same can be extracted from the color image and only a 2-D indexed image can be encrypted. Thus the process of encryption and decryption can be carried out in a single channel similar to the gray scale images, and the colored image can be retrieved after adding the color map to the decrypted indexed image [4]. A. Recommended Encryption Algorithm Colored image in our context is represented as follow equation: (5) Where, x and y are spatial coordinates and n denotes the index of primary color components (n=0, 1, 2) f0(x. y), f1(x. y) and f2(x. y) correspond to red, green, and blue color components respectively. Each of these components is segregated and the input RGB image p(x, y), to be encrypted, is converted into its indexed format pi (x, y), by extracting the color map and with each of these components are added. Each of these components encrypted independently using fractional Fourier encryption. The schematic of the proposed encryption technique is shown in Figure (1). The colored image to be encrypted is decomposed in red, green, and blue components and each of these components are combined with indexed image pi (x, y), and each component is multiplied with random phase functions ÃŽ ¦r1(x, y), ÃŽ ¦g1(x, y), and ÃŽ ¦b1(x, y). The random functions used above are statistically independent of each other. The FRT with different fractional orders along each spatial coordinate is performed for all the color components i. e (arx, ary) for red, (agx, agy) for green, and (abx, aby) for blue respectively. The transformed primary color images are then multiplied with three random phase functions ÃŽ ¦r2(u, Ï…), ÃŽ ¦g2(u, Ï…) and ÃŽ ¦b2(u, Ï…) in the fractional domain, where u and Ï… denote the coordinates in the respective fractional domain. Another FRT is performed subsequently on these images independently with different fractional orders along each spatial coordinates i.e. (brx, bry) for red (bgx, bgy) for green and (bbx, bby) for blue, in order to obtain the encrypted images for each of the three color components. In the final step, these three encrypted image are combined to get the colored encrypted image e(x, y). Figure 1: The color image encryption algorithm B. Recommended Decryption Algorithm The decryption process is described in Figure (2). The encrypted image is first decomposed into three primary color components. FRT of fractional orders (-brx, -bry), (-bgx, -bgy) and (-bbx, -bby) are calculated for the red, green, and blue color components, respectively and are subsequently multiplied with random phase functions ÃŽ ¦*r2(u, v), ÃŽ ¦*g2(u, v), and ÃŽ ¦*b2(u, v) in the fractional domain, where * denotes complex conjugate. In the next step, the FRTs of the fractional orders (-arx,-ary) for red, (-agx,-agy) for green- and (-abx,-aby) for blue-color images are calculated. Furthermore, indexed image pi (x, y) is segregated and finally these three components color images are combined to get the decrypted image. Figure 2: The color image decryption algorithm Figure (3a) is the main Image of globe and our main Image that will be encrypted. Figure (3b) is lena picture that would be index image incorporated with the main image. P(x,y) that has been shown in Figure (3b), and index image has been shown in Figure (3c) and finally encrypted image resulted as Figure (3d). Now, in encryption process, we must arrange it like this and see that encrypted image of globe will be as follows after separation. Figure 3: The Result of encryption In the previous part, observed results of encryption and decryption. Outlined Algorithm of 15entering parameter involved generally that random phases could be considered as keys for encryption. Unsuitable selection of any keys during encryption will have negative results. Presence of many keys help in building system thats intensely safe against unpermitted accessibility it could be seen that encrypted images were completely safe against unpermitted time accessibility that has false fractional commands in all three channels. References   P. Refregier, B. Javidi, (1995), Double random Fourier plane encoding, Opt. Lett. 20(1): 767-778. B. M. Hennelly, J. T. Sheridan, (2003), Image encryption and the fractional Fourier transform, Optik, 114(2): 6-15. B. M. Hennelly, J. T. Sheridan, (2003), Double random fractional Fourier plane encoding, Optik, 114(1): 251-262. M. Joshi, K. Singh, (2007), Color image encryption and decryption for twin images in fractional Fourier domain, Optics Communications, 281(1): 5713-20. M. Joshi, K. Singh, (2007), Color image encryption and decryption using fractional Fourier transform, Optics Communications, 279(1):35-42. Z. Liu, S. Li, (2007), Double image encryption based on iterative fractional Fourier transforms, Optics Communications, 275(1): 324-329. Y. Wang, S. Zhou, (2011), A Novel Image Encryption Algorithm Based on Fractional Fourier Transform, IEEE, 978(1): 4244. X. Feng, X. Tian, Sh. Xia, (2011), A Novel Image Encryption Algorithm Based On Fractional Fourier Transform and Magic Cube Rotation, IEEE, 978(1): 4244-9306

Critique Zara’s strategy based upon an evaluation of the external and internal environments facing Zara.

Introduction Using your evaluation of the external and internal environments facing Zara, you are asked to critique Zara’s stated strategy of expansion into (Eastern) Europe and Asia. Consider whether the strategy is feasible, suitable and acceptable. In your answer, consider both the likely benefits as well as challenges that Zara is going to face. How does the emphasis on online expansion fit into the company’s international strategy? Zara opened its first store in 1975 in La Coruna, located in northwest Spain. International expansion of the Zara brand began with the opening of a store in Oporto in 1988. By the end of January 2006, Zara was operating in 59 countries with 852 stores: 664 stores in Europe (including 259 in Spain), 100 in America, 45 in the Middle East and Africa and 31 in Asia. Foreign sales accounted for 69% of the company’s turnover in the year 2005, with Europe being the biggest market so far. This paper critiques Zara’s strategy of expansion into ( Eastern) Europe and Asia, based upon an evaluation of the external and internal environments facing Zara. The decision for global expansion is due to both push and pull factors. The push factors are those which encouraged the organization to search for international opportunities. The pull factors include attractive situations in the host market . Limited market growth opportunities at home were major influences in the decision to expand internationally. With the opening of their first store, Zara discovered that for some, the Spanish fashion and design market was on verge of saturation. Key pull factors included the entry of Spain into the European Union. The globalization of the world’s economies, the economy of scale to be made and the similarities of consumer spending patterns was an additional pull factor. Strategy is feasible, suitable and acceptable The internationalization of Zara seemed to follow the classic stage model by first entering the culturally or geographica lly closest market prior to taking chances in a more distant market. This method aided the company’s learning curve. These stages include: †¢ Reluctance as well as trial: Zara focused their expansion on the domestic market. The maturity of the Spanish market led Zara to search for international opportunities. Expansion into Portugal was seen as an attractive as well as familiar market because of their geographical and cultural proximity to Europe. †¢ Cautious expansions: During this stage Zara expanded into markets with geographical and psychological proximate as well as with minimum levels of socio-economic developments by adding one or two countries each year to their market portfolio. Zara then began operating in France’s fashion capital, with sights on the geographical contiguous EU and points for later expansions in Northern Europe, including Belgium and Sweden. Benefits as well as challenges that Zara is going to face Zara owns many stores in Europe and Asia; international expansion has been adopted by way of three separate entry modes: †¢ Subsidiaries: This direct investing strategy is a very expensive method of entering and it involves a high level of quality management control as well as business risk. Zara adopted such strategy for European as well as Asian countries, which had been perceived for having high growth potential along with low business risks. †¢ Joint venturing: This is a cooperative strategy where manufacturing facilities and a know-how of local companies have been combined with expertise in foreign companies in the same market, particularly in large, competitive markets where it is difficult to acquire property for setting up retail outlets and where there have been the other types of barriers which need cooperation with a local firm. †¢ Franchisee: This strategy has been chosen for high-risk countries that are culturally different and have little market opportunities along with a low sale forecas t. Franchisees of Zara follow a similar business pattern to their subsidiaries regarding product, store location, interior design, and logistics, as well as human resources. When an entry mode has been decided for a specific country, Zara has followed patterns of the expansion called in company as oil stain. Experience guides Zara in these stages of expansions in each country. Emphasis on online expansion fit into the company’s international strategy Experience gained in international environments made Zara intent on rapid global expansion, with regard to the cultural and geographic proximate. Zara consolidated its position in the European market as a method of gaining a foothold in the new countries. Due to the expansion of the European Union, at the start of the year 2006, Zara was operating in 59 countries with 800 stores, with plans to add many more in countries such as Italy, France, Germany and Great Britain, with Asia as the headquarters of international operations. References Alexander, N. (1995b). Internationalisation: interpreting the motives, in McGoldrick P. and Davies, P., International retailing: trends and strategies. London: Pitman Publishing. Johanson, J. a.-P. (1975). The internationalisation of the firm four Swedish case studies. Journal of Management Studies, 12 , 305-322. Martinez, J. (1997). Jose Maria Castellano. Economistas, 73 , 118-126.

The Most Forgotten Fact About Describe Yourself Essay Sample Uncovered

The Most Forgotten Fact About Describe Yourself Essay Sample Uncovered What You Need to Do About Describe Yourself Essay Sample Before It Is Too Late Non-probability samples, where the probability of selecting a member may not be calculated. As its name suggests, purposive sampling usually means the researcher selects participants in line with the criteria he's set. To begin with, it's used while the researcher would like to examine subgroups within a population. The researcher has control over the subgroups which are included in the sample, whereas simple random sampling doesn't guarantee that any 1 form of person is going to be included in the last sample. Even if a data analysis draws its chief conclusions employing inferential statistics, descriptive statistics are usually also presented. Mistakes made in choosing and using sampling fractions could cause a stratum that's overrepresented or underrepresented, causing skewed outcomes. Notice a sampling frame is not quite as large as the population, but it's still a fairly massive group of individuals. 1 primary disadvantage of stratified sampling is that it may be difficult to recognize suitable strata for a study. How to Get Started with Describe Yourself Essay Sample? Describing your very first wedding ceremony or gig with the audio band isn't the best idea. At times, you know yourself worse than people around you so that you're able to trust them. Attempt to think of as many different sorts of relationships you have with people as friends you've known for a little while or only recently met, etc.. Furthermore, active people like to be around friends and in order to get friend s, you ought to be friendly. The main reason why I do regular exercise is to enhance my physical wellness or to keep a wholesome lifestyle through my lifetime. The whole number of individuals in any certain country can likewise be a population size. The top has become the most common price. You may write virtually all sort of combination of test cases. It is preferable to find professional writing assistance from the corresponding support. It is often as large or as small as it is possible to think about! What You Must Know About Describe Yourself Essay Sample There are different arguments, but the most efficient argument against the death penalty for a deterrent for violent crime seems to be the simple fact that crime has not. An introduction is the surface of the applicant. The structure of private statement is a lot simpler. As a consequence, it's of fantastic value to use not only words but also five principal senses if you want to create a productive paper. To aid you in getting started, have a look at the sample job descriptions below. Just state the facts, and allow the reader decide whether to contact you. This description of the sample is known as the sample characteristics which might be shown in a table or the narrative of the guide. So, in the event the study is all about male college freshmen, the sample ought to be a little proportion of males that fit this description. Introducing Describe Yourself Essay Sample It is preferable to begin writing as soon as you're assigned the job. On the flip side, in the event that you made a fantastic choice, focus on what influenced you to make that decision and the way it has changed you. An individual can say that I've an extremely complicated nature. Proceed to the section with terrific topic suggestions to discover new and time-tested examples. The New Angle On Describe Yourself Essay Sample Just Released As soon as you have answered that question, you are prepared to go. For instance, you can open to your favourite quote or a joke. You should have your reasons, and our principal concern is that you find yourself getting an excellent grade. A very simple handshake can demonstrate precisely how friendly someone is. Remember you're on a quest on how best to write essay describing yourself, you wish to leave a positive impression. Therefore, when asked to compose an essay, especially a personal essay, it's important for the writer to concentrate on a specific facet which will guide or dictate the stream of the full essay. Again, you don't have to include all you write here, in your primary essay. Before you commence writing a descriptive essay about a man or before you choose to cover essays writing, it is crucial to read several templates of well-structured papers. If you don't have an idea what an essay depicting your person should include, you might get inspired by somebody else. While at it, you also ought to think of the words you will utilize to describe yourself. After reading the helpful strategies and many examples, a writer may get a better knowledge of the methods to prepare a strong personal statement. Essayist the event a narrative essay about yourself in 1 word.

The Universal Declaration Of Human Rights - 1826 Words

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