The application of compressed sensing (CS) to biomedical imaging is exciting because it allows a reasonably accurate reconstruction of images from far fewer measurements. For biomedical imaging, CS can increase the imaging speed and consequently decrease the radiation dose. While the idea of CS has been used to reduce the acquisition time of magnetic resonance imaging (MRI), x-ray computed tomography (CT) and microwave imaging (MWI), unfortunately the computation time of image recovery has increased as the nonlinear CS reconstruction algorithms are fairly slow. Reconstructing high-dimensional signals or biomedical images from compressively sampled data is a fundamental challenge faced by the CS. In this dissertation, we propose a suite of novel CS recovery methods that can efficiently recover the Fourier encoded biomedical images (MRI, parallel-beam CT and MWI) from a small set of randomized measurements. The initial part of the current work presents CS based reconstruction of sub-sampled biomedical imaging modalities using projection onto convex sets (POCS) and separable surrogate functional (SSF) methods. The iterative shrinkage based SSF algorithm incorporates the linear estimate of the error to improve the reconstruction quality. It does not involve any matrix inversion and is used to estimate the missing Fourier samples of the original image by applying data consistency in the frequency domain and soft thresholding in the sparsifying domain. The idea of using hybrid evolutionary techniques for the sparse signal recovery is presented next. It proposes how to combine the heuristic techniques such as Differential evolution (DE), genetic algorithms (GA), and Particle Swarm Optimization (PSO) with v iterative shrinkage algorithms to faithfully reconstruct sparse signals from a small number of measurements. Based on the notion of GA, a modified POCS based algorithm is developed. This novel CS recovery technique uses two different estimates for the initialization and iteratively combines them to recover the original Fourier encoded image. In the last part, we use hyperbolic tangent function separately to develop a reconstruction algorithm and a non-linear shrinkage curve for thresholding. As the ?1-norm penalty is not differentiable, the proposed hyperbolic tangent based function is used to closely approximate the ?1-norm regularization by a differentiable surrogate function. Using the method of gradient descent, a simple update rule is developed. The algorithm is shown to perform well for one dimensional (1-D) sparse signal recovery as well as CS reconstruction of Fourier encoded biomedical imaging. The idea is further extended by using hyperbolic tangent based approximations for the soft-thresholding that provide flexibility in terms of its adjustable parameters. Besides using synthetic data, the effectiveness of the proposed techniques are also validated using the real data collected from the MRI and MWI scanners.
۲۰۰۹ء میں جب میں نے سرگودھا یونیورسٹی میں ایم۔ فل اُردو میں داخلہ لیا تو اُسی وقت سے ہی سیالکوٹ کے شعر و ادب کی تاریخ لکھنے کا خیال میرے ذہن میں تھا اور یوں بھی زمانہ طالب علمی سے جب میں مرے کالج سیالکوٹ میں بی۔اے کا طالب علم تھا تو میری دلچسپی سیالکوٹ اور اس کے گردو نواح میں تخلیق پانے والے شعر و ادب اور اس علاقے کی تاریخی ،سیاسی ، سماجی و تہذیبی اور جغرافیائی اہمیت سے تھی۔ میں نے جس ماحول میں آنکھ کھولی وہ خطۂ سیالکوٹ کا روایتی ماحول تھا۔ یہ خیال آتا تھا کہ قدیم ترین خطۂ سیالکوٹ میں وقت کے ساتھ ساتھ جو تبدیلیاں رونما ہوئیں اور خاص طور پر جنھوں نے اس علاقے کے شعر و ادب کو متاثر کیا۔ اس کے بارے میں تحقیق ہونی چاہیے۔ اس سلسلے میں سب سے پہلے میں نے ۲۰۱۰ء میں سرگودھا یونیورسٹی میں ایم۔فل اُردو کے لیے تحقیقی مقالے ’’سیالکوٹ میں اُردو شاعری کا ارتقا ۱۹۴۷ء تا ۲۰۰۹ء ‘‘ کا انتخاب کیا۔ اس تحقیقی و تنقیدی مقالے میں شعرائے سیالکوٹ کے سوانحی حالات اور ان کی شاعری کا تحقیقی و تنقیدی جائزہ لیا گیا ہے۔ اس مقالے میں تشنگی رہہ گئی تھی کیوں کہ اس میں شاعری کی مکمل ادبی تاریخ کا بھی صحیح معنوں میں تحقیقی و تنقیدی جائزہ نہیں لیا گیا تھا۔ ضرورت اس امر کی تھی کہ سیالکوٹ کے شعری ادب کے ساتھ ساتھ نثری ادب کا بھی مکمل طورپر تحقیقی و تنقیدی جائزہ لیا جائے ۔اس عظیم کام کو سر انجام دینے کے لیے تحقیق کار نے ۲۰۱۲ء میں یونیورسٹی آف سرگودھا میں پی۔ایچ ڈی اردو میں داخلہ لیا۔ ۲۰۱۴ء میں یونیورسٹی نے ’’سیالکوٹ میں نقدو ادب کی روایت‘‘ عنوان کے تحت ریسرچ پروپوزل پی ایچ ڈی اُردو مقالے کے لیے منظور...
Allah has revealed Holy Quran to guide and transform the lives of human being. According to Hadith, Quran was revealed in seven dialects because it is the name of wisdom. So, seven alphabets have numerous philosophies and benefits embedded in them. In this article introduction of Quran along with literal and figurative meanings have been elaborated. Details of seven alphabets have been explained vividly besides literal and figurative meanings of seven alphabets have been expounded. After that three important axioms of savants have been narrated. Amongst them, Imam Razi’s axiom is cited specially. In the last, modern axiom is given with explanation in a lucid way. A part from that, the logics and reasons behind the revelation of Quran in seven dialects have been deliberated including revelation of Quran in Arabic language, affection of the Holy Prophet (P.B.U.H) for Ummah, convenience for Muslim Nation, satisfaction for nature, eradication of linguistic bias amongst Arabs, consensus of two commands, narration of two commands of different versions. Abundance of virtues, legitimacy of Qur’an, statures of readers and replicators of readers and others have been mooted exhaustively. In the end, article is summarized in the light of modern era.
This mixed method study examines the impact of grade retention on the academic performance and self-esteem of the students. For the quantitative part, the students of grade four in public schools of Rawalpindi city were taken as the study sample. Initially, this sample was divided into two main groups, i.e. identified poor performers and the normal group of students. After annual examinations, the former group was further divided in two subgroups on the basis of results, i.e. Repeaters Sample and Identified Poor but Promoted Sample. A multiphase panel study was designed to collect quantitative data. The data related to academic performance was collected by locally developed tests of the five subjects taught in grade four of the public schools of the Punjab. The self-esteem of the students was measured through Urdu translation of Beck Youth Inventory for Self-Concept of Children (BSCI-Y). A series of analysis were performed with quantitative data to analyze the variations in academic performance and self-esteem of all the three groups. A group of experienced school teachers teaching at primary level in public schools of Rawalpindi city were selected as the key informants of qualitative aspect of the study. Semi-structured, open-ended interviews were conducted with participant teachers. The first part of the interview was nested in the study, while the second part was triangulated with quantitative findings in order to verify and strengthen the results. The two sets of data were collected concurrently, whereas the triangulation of both types was carried out after the completion of the analysis stage. The findings of the study suggested that there was significant positive impact of grade retention on the academic performance of the repeaters, whereas the impact on self-esteem was found considerably negative. However, the academic performance of the repeaters was not significantly greater than those of the identified poor but promoted group and normal group.