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Home > Study of Subdivision Schemes and Their Impact on Geometric Modeling and Computer Graphics.

Study of Subdivision Schemes and Their Impact on Geometric Modeling and Computer Graphics.

Thesis Info

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Author

Bashir, Robina

Program

PhD

Institute

The Islamia University of Bahawalpur

City

Bahawalpur

Province

Punjab

Country

Pakistan

Thesis Completing Year

2017

Thesis Completion Status

Completed

Subject

Mathemaics

Language

English

Link

http://prr.hec.gov.pk/jspui/bitstream/123456789/13594/1/Robina%20Bashir_Maths_IUB.pdf

Added

2021-02-17 19:49:13

Modified

2024-03-24 20:25:49

ARI ID

1676727394409

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Subdivision is an efficient tool to explain curves and surfaces in geometric modeling and computer aided geometric design. Subdivision schemes are very helpful techniques to produced smooth curves and surfaces from finite set of control points. The aim of this dissertation is to introduce variety of subdivision schemes for curve and surface designing based on complexity, arity and parameter. Several simple and well-organized formulae are presented which generate the different kind of parametric and non-parametric subdivision schemes. Many well known existing schemes are generated by proposed formulae. Convergence and smoothness of curves and surfaces subdivision schemes are presented by using Laurent polynomial method. Shape preserving properties such as monotonicity, convexity and concavity preservation of data fitting are derived. Some of significant properties of proposed subdivision schemes such as Hölder regularity, polynomial generation, polynomial reproduction, approximation order and support of basic limit function are also discussed. Visual performances of the schemes have also been demonstrated through different examples.
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اردو سیرت نگاری پیر کرم شاہ الازہری کی’’ ضیاالنبی‘‘ کے تناظر میں

سیرت نگاری پیر کرم شاہ الازہری کی "ضیاالنبی "کے تناظر میں

ڈاکٹر طالب علی اعوان

           سیرت نگاری کوئی انسانی کمال نہیں بلکہ یہ بارگاہِ رسالت ماب صلی اللہ علیہ والہ وسلم میں شرفِ قبولیت ہے۔یہ وہ خوش بختی ہے جس پر جتنا فخر کیا جائے کم ہے۔حسان بن ثابت رضی اللہ عنہ  کے ایک نعتیہ شعر کا مفہوم ہے:

"لوگ اگر مجھ سے محبت کرتے ہیں تو اس لیے کہ میں نے سرکارِ دوعالم صلی اللہ علیہ والہ وسلم کا ذکر کیا ہے، لوگوں میں اگر کہیں میرا تذکرہ ہے تو فقط اس واسطے کہ میں نے سرورِ کائنات صلی اللہ علیہ والہ وسلم کی شان تحریر کرنے کا اعزاز حاصل کیا ہے، جب تک سازِحیات بجتا رہے اس کے تاروں سے محبتِ رسول صلی اللہ علیہ والہ وسلم ہی سنائی دے۔"

اللہ تعالی نے قرآنِ حکیم میں اپنے حبیب صلی اللہ علیہ والہ وسلم کی شان بیان کرتے ہوئے فرمایا:

"ورفعنا لک ذکرک" ترجمہ:"ہم نے آپ کے ذکر کو بلند کیا۔"

رفع ذکر کا ایک پہلو یہ بھی ہے کہ آپ کا تذکرہ کیا جائے، اخلاق و عادات کو نمایاں کیا جائے ،شمائل کو بیان کیا جائے اور آپ کی حیاتِ طیبہ اور اسوہ حسنہ کے مختلف پہلووں کو اجاگر کیا جائے۔

مسلمانوں کےلیے ذکرِ حبیب باعثِ افتخار و اعزاز اور ذریعہ نجات ہے۔ غیر مسلم بھی آپ صلی اللہ علیہ والہ وسلم کے تذکرے کو باعثِ شرف سمجھتے ہیں چناچہ آکسفورذ یونیورسٹی (برطانیہ) کے پروفیسر مارگولیتھ (D.S Margoliouth) نے 1905ء میں حضورِ اکرم صلی اللہ علیہ والہ وسلم کےحالات پر اپنی کتاب محمد اور ظہورِ اسلام (Muhammad And The Rise Of Islam) کے نام سے لکھی تو اس کا آغاز ہی...

Simulative Analysis of Power Conversion System for Hybrid Electric Vehicles Based on Dual Input Sources Including Charging From Solar Panel

Renewable energy sources are highly recommended in hybrid electric vehicles (HEV) applications. The power converters play an important role in hybrid electric vehicle system. The design of control system for such converters is discussed in the paper. The design of both DC-DC dual input converter and 3 phase VSC is done using MATLAB simulation. The design of SVPWM technique is presented for three phase VSC and PI control is for DC-DC converter. By the integration of this system a 3 phase induction motor will be operated, which in turn can be utilized for running of shaft of any vehicle. The dual input converter feed by two sources one is PV system and other is battery which is being charged by the PV system.

Characterization of Turbid Media Using Stokes and Mueller-Matrix Polarimetry

In this thesis we present the application of polarized light to characterize porcine liver and phantoms with matched bulk optical properties, correlate the depolarization of tissues with transport albedo and evaluate the severity of liver injury. We have used the Mueller matrix analysis and polar decomposition method for extraction of individual polarization properties in this thesis. We investigated the polarization properties of thick samples (1 cm) of porcine liver, intralipid phantoms and polystyrene micro-spheres phantoms with matched bulk optical properties. Significant depolarization differences between porcine liver and phantoms are observed. Contrary to previously reported results for transmission geometry, our results show the enhanced polarization preservation for porcine liver tissues as compared to fabricated phantoms, particularly in the backscattering detection geometry. Moreover, the intralipid phantoms, polarization behavior is well- approximated with liver tissue as compared to the polystyrene sphere phantoms. Polarized light imaging was employed to investigate the correlation between light depolarization and transport albedo for six different isotropic and anisotropic thick tissues in both transmission and backscattering mode. Total, linear and circular depolarization rates were observed to be dependent on the measured transport albedos, where depolarization increases with transport albedo for all type of tissues independent of detection geometries. Higher depolarization rates were observed for anisotropic tissues as compared to isotropic ones for comparable transport albedos, demonstrating the birefringence-caused depolarization in addition to scattering-caused depolarization. The ex vivo severity assessment of different liver injuries induced by carbon tetra chloride (CCl4) was probed by polarized light in the visible spectral range. Less injured liver samples show higher linear retardance as compared to normal liver tissue, while worse injuries correspond to almost no retardance. Fibrosis is the likely cause at less severe injuries results in higher observed linear retardance whereas more serious injuries destroy any kind of organization and hence yield no retardance. Furthermore, total- linear- and circular-depolarizations were observed to decrease with increased injuries. Most likely causes include change of transport albedo and relative refractive index of extracellular matrix.