UROP Proceedings 2010-11

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Report on Lunar Crater ProjectAdvisorCo-AdvisorStudent: CHAN Kwing Lam / MATH: CHENG Siu Wing / CSE: ZHOU Rongrong / MAEC(UROP1100, Summer 2011)The ultimate target of our project is to identify and categorize the crater patterns on the moonwith two sets of data: altimeter readings and photographic images. The goal is to complete thedownloading of the 11-month CE data, test the data accuracy with principal crater plottingand preliminary processing. In this project, I am responsible for the study of three craters,namely, Copernicus, Sklodowska and Coriolis.The Evolution of RecombinationAdvisor : CHASNOV Jeffrey R / MATHStudent : YE Xiaofeng / MATH-AM(UROP1100, Spring 2011)Selection is assumed to happen as a haploid and the genome contains L +1 diallelic loci, withL fitness loci and one recombination modifier locus. It is also assumed that the modifier genehas no impact on fitness, but changes the recombination rates of the fitness loci. In general,the modifier gene doesn’t need to be near the fitness loci so the recombination rate betweenthe modifier locus and the fitness loci is assumed to be a constant R. The alleles on themodifier locus are denoted by A and a. When both haplotypes have allele a, the recombinationrate between the fitness loci is r = r 1 . If only one of the haplotypes has allele A, the rate is r =r 2 , and if both haplotypes have allele A, the rate is r = r 3 . The case of two fitness loci under theLevene model for frequency-dependent selection is illustrated in this project.Efficient Numerical Methods for Dynamic InterfaceAdvisor : LEUNG Shing Yu / MATHStudent : HON Yu Sing / MATH-MP & PHYS-PM(UROP1100, Fall 2010)We propose new algorithms for modeling interface motions. The idea is to develop a newcell-based representation of the interface based on the “grid-based particle method for movinginterface problems” co-developed by Dr. Shingyu Leung. The algorithm composes of threeparts: initialization, motion and resampling. This part of the project concentrates on the firststep in which we propose a new interface representation. The interface is represented and istracked using numerous particles. These sampling particles are sampled based on cells closeto them, i.e. each particle is associated to a cell near the interface. Local information includingInterface velocity, arclength-element of the surface and other Lagrangian information on theinterface can be found naturally, while integrals on the surface can now be approximatedeasily by summing up all contributions from each small segments of the interface.13
Efficient Numerical Methods for Dynamic InterfaceAdvisor : LEUNG Shing Yu / MATHStudent : HON Yu Sing / MATH-MP & PHYS-PM(UROP1200, Spring 2011)This is a continuation of the previous project. We have made progress in the modifiedalgorithm for tracking a dynamic interface. In this part of the project, we have addeddynamics to the interface represented by the cell-based representation. In particular, progresshas been made on modeling motions of a circular interface under a translational motion andalso the motion in the normal direction.Efficient Numerical Methods for Dynamic InterfaceAdvisor : LEUNG Shing Yu / MATHStudent : LAM Yat Hei / PHYS(UROP1000, Summer 2011)This project aims at exploring new numerical methods to compute the arclength of a curve in2D and the surface area of an interface in 3D. We code in Visual C++ to develop flexiblenumerical approaches to find the arclength and surface areas of various simple objectsincluding circle, square and ellipsoid.Efficient Numerical Methods for Dynamic InterfaceAdvisor : LEUNG Shing Yu / MATHStudent : TSANG Chun Kong / MATH(UROP1100, Fall 2010)Modeling of an interface evolution is an important aspect in many fields in science andengineering, including multi-phase flow simulation, crystal growth simulation, and surfaceregularization in image processing. This project we develop and/or apply new numericalmethod to efficiently model interface motion.14
Page 4 and 5: Message from the PresidentUROP is a
Page 6 and 7: School ofScience
Page 8 and 9: After a month of screening, some pu
Page 10: Water Quality Survey for Hong Kong'
Page 14 and 15: Study of Blood Cell Development usi
Page 16 and 17: Department of MathematicsSpace Orbi
Page 20 and 21: Efficient Numerical Methods for Dyn
Page 22 and 23: Department of PhysicsNear-Field Sca
Page 24 and 25: Kinetic Monte Carlo Simulation of S
Page 26 and 27: Random Walk on Complex Network and
Page 28 and 29: Manufacture of Photoic Crystals and
Page 30 and 31: School ofEngineering
Page 32 and 33: Techno-economic Analysis of Hydroge
Page 34 and 35: Heavy Metal Adsorption from Seawate
Page 36 and 37: Reformation of Antimicrobial Coatin
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Page 42 and 43: An Investigation to Simplex Minimiz
Page 44 and 45: Distributive Name ServiceAdvisor :
Page 46 and 47: “Where To”: A Collaborative And
Page 48 and 49: Light Carving: Rich Object Scanning
Page 50 and 51: Sparse Matrix CompletionAdvisor : Y
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Page 54 and 55: Opto-Mechanical Oscillator with Dir
Page 56 and 57: Capture the FlagAdvisor : SHI Ling
Page 58 and 59: Building a Servo Robot SystemAdviso
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Page 62: Digital Image Correlation Method fo
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Department of Information Systems,
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Financial Risk ManagementAdvisor :
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Consumer Shopping Behavior in Inter
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Consumer NostalgiaAdvisor : HONG Ji
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Lay Theory of ObesityAdvisor : MUKH
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Multiculturalism, Social Judgments
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School of Humanities and Social Sci
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China/Africa Links ProjectAdvisor :
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Housing Policy, Home Ownership Sche
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Psychology of HappinessAdvisor : TA
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Facial Expressions of EmotionsAdvis
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UROP Proceedings 2010-11

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