Browsing Department of Mathematics by Author "Liao, Guojun"
Now showing items 1-11 of 11
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A STUDY ON THE NONLOCAL SHALLOW-WATER MODEL ARISING FROM THE FULL WATER WAVES WITH THE CORIOLIS EFFECT
Sun, Junwei (2017-08-28)The Equatorial Undercurrent is a significant feature of the geophysical waves near the equator, which is one of the key factors to explain El Niño phenomenon. However, based on β-plane approximation, the classical theory ... -
A study on traveling wave solutions in the shallow-water-type system
Luo, Ting (2017-08-08)The study of water waves reveals the physical principles of many phenomena of scientific and engineering interest. In this dissertation I consider three models: two-component Camassa-Holm system(2CH), generalized two-component ... -
Image Analysis Based on Differential Operators with Applications to Brain MRIs
Zhou, Zicong; 0000-0002-0604-0113 (2019-07-25)In differential geometry, computational diffeomorphism (smooth and invertible mapping) has become a fast-growing field in developing the theoretical frameworks and computational toolboxes for the tasks such as computer ... -
The Least-squares Finite Element Method For Grid Deformation And Meshfree Applications
Fleitas, Dionisio Laeber (Mathematics, 2007-08-23)Grid adaptation is often needed to improve the numerical solution of a Partial Differential Equation (PDE), due to, for example, shock waves and boundary layers. In moving boundary problems, the grid needs to be regenerated ... -
LIUTEX-BASED VORTEX IDENTIFICATION METHODS AND THEIR APPLICATION IN DNS STUDY OF FLAT PLATE BOUNDARY LAYER TRANSITION
Shrestha, Pushpa; 0000-0002-3740-5170 (2021-07-26)Vortices are intuitively known as the rotational motion of fluid particles, however, unambiguous and universally accepted methods of vortex definition and identification are not available to date in the literature. ... -
MODELING THE EFFECTS OF THE IMMUNE SYSTEM ON BONE FRACTURE HEALING
Trejo Lorenzo, Imelda (2019-05-14)Bone fracture healing is a complex biological process that results in a full reconstruction of the bone. However, it is not always an easy and successful process. Indeed, in some unfavorable conditions, the bone fracture ... -
New Development of Grid Generation and Image Analysis
Hildebrand, Ben (2020-08-05)Image segmentation and registration are indispensable tools for the aid in medical diagnoses by experts. The current gold-standard for image segmentation is manual labeling of pixels by experts which is cumbersome and ... -
New Developments Of The Deformation Method
Liu, Jie (Mathematics, 2007-08-23)New developments of deformation method for grid generation are presented in this work. Theorems for three different cases and different methods for implementing deformation method are presented. One of the new developments ... -
A New Method For Non-rigid Registration Of 3d Images
Akinlar, Mehmet Ali (Mathematics, 2009-09-16)In this dissertation we present a novel method for the nonrigid registration of 3D images using a well-established mathematical framework mostly known as the deformation based grid generation method. The deformation based ... -
Numerical Construction of Diffeomorphism and the Applications to Grid Generation and Image Registration
Chen, Xi (2016-08-12)Diffeomorphism is an active research topic in differential geometry. In this area, the existence and construction of diffeomorphism under certain constraints is an interesting and meaningful task. J. Moser first proved the ... -
Optimal Control Approach To Image Registration
Salako, Stephen Taiwo (Mathematics, 2010-03-03)The purpose of this dissertation is twofold: To present a new method of orthogonal grid generation and to investigate certain theoretical aspects of the optimal control approach to the image registration problem.In the ...