Kathy GN - Academia.edu (original) (raw)

Papers by Kathy GN

Research paper thumbnail of Construction of Parseval wavelets from redundant filter systems

Journal of Mathematical Physics, 2005

We consider wavelets in L 2 (R d ) which have generalized multiresolutions. This means that the i... more We consider wavelets in L 2 (R d ) which have generalized multiresolutions. This means that the initial resolution subspace V 0 in L 2 (R d ) is not singly generated. As a result, the representation of the integer lattice Z d restricted to V 0 has a nontrivial multiplicity function. We show how the corresponding analysis and synthesis for these wavelets can be understood in terms of unitary-matrix-valued functions on a torus acting on a certain vector bundle. Specifically, we show how the wavelet functions on R d can be constructed directly from the generalized wavelet filters.

Research paper thumbnail of Activation of nuclear factor-κB by podocytes in the autologous phase of passive Heymann nephritis

Kidney International, 2001

the podocyte have not yet been determined, but may include Activation of nuclear factor-B by podo... more the podocyte have not yet been determined, but may include Activation of nuclear factor-B by podocytes in the autologous MMP-9. phase of passive Heymann nephritis.

Research paper thumbnail of Security and encryption optical systems based on a correlator with significant output images

An improved optical security system based on two phase-only computer-generated masks is proposed.... more An improved optical security system based on two phase-only computer-generated masks is proposed. The two transparencies are placed together in a 4f correlator so that a known output image is received. In addition to simple verification, our security system is capable of identifying the type of input mask according to the corresponding output image it generates. The two phase masks are designed with an iterative optimization algorithm with constraints in the input and the output domains. A simulation is presented with the resultant images formed by the two phase-only elements. Various mask combinations are compared to show that a combination is unique and cannot be duplicated. This uniqueness is an advantage in security systems.

Research paper thumbnail of Enabling Spacecraft Formation Flying through Spaceborne GPS and Enhanced Automation Technologies

Formation Flying is quickly revolutionizing the way the space community conducts autonomous scien... more Formation Flying is quickly revolutionizing the way the space community conducts autonomous science missions around the Earth and in space. This technological revolution will provide new, innovative ways for this community to gather scientific information, share this information between space vehicles and the ground, and expedite the Human exploration of space. Once fully matured, this technology will result in swarms of space vehicles flying as a virtual platform and gathering significantly more and better science data than is possible today. Formation flying will be enabled through the development and deployment of spaceborne differential Global Positioning System (GPS) technology and through innovative spacecraft autonomy techniques. This paper provides an overview of the current status of NASA/DoD/Industry/University partnership to bring Formation Flying technology to the forefront as quickly as possible, the hurdles that need to be overcome to achieve the formation flying vision, and the team's approach to transfer this technology to space. It will also describe some of the formation flying testbeds, such as Orion, that are being developed to demonstrate and validate these innovative GPS sensing and formation control technologies.

Research paper thumbnail of Technology initiatives for the autonomous guidance, navigation, and control of single and multiple satellites

In the twenty-first century, NASA envisions frequent low-cost missions to explore the solar syste... more In the twenty-first century, NASA envisions frequent low-cost missions to explore the solar system, observe the universe, and study our planet. To realize NASA's goal, the Guidance, Navigation, and Control Center (GNCC) at the Goddard Space Flight Center sponsors technology programs that enhance spacecraft performance, streamline processes and ultimately enable cheaper science. Our technology programs encompass control system architectures, sensor

Research paper thumbnail of The minimum degree of Ramsey-minimal graphs

Journal of Graph Theory, 2007

We write H → G if every 2-coloring of the edges of graph H contains a monochromatic copy of graph... more We write H → G if every 2-coloring of the edges of graph H contains a monochromatic copy of graph G. A graph H is G-minimal if H → G, but for every proper subgraph H of H, H → G. We define s(G) to be the minimum s such that there exists a G-minimal graph with a vertex of degree s. We prove that s(K k ) = (k − 1) 2 and s(K a,b ) = 2 min(a, b) − 1. We also pose several related open problems.

Research paper thumbnail of hash

public class Principal { public static void main(String[] args) { try { int i, n, resp; int m = I... more public class Principal { public static void main(String[] args) { try { int i, n, resp; int m = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Ingrese el tamaño de la tabla")); Hash[] h = new Hash[m]; for (i = 0; i < m; i++) { h[i] = new Hash(); h[i].estado = 0; } do { resp = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Menú Principal nn" + "Insertar (1)nBuscar nEliminar nSalir (4)")); switch (resp) { case 1: n = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Ingrese el número a ser insertado en la tabla:"));

Research paper thumbnail of Construction of Parseval wavelets from redundant filter systems

Journal of Mathematical Physics, 2005

We consider wavelets in L 2 (R d ) which have generalized multiresolutions. This means that the i... more We consider wavelets in L 2 (R d ) which have generalized multiresolutions. This means that the initial resolution subspace V 0 in L 2 (R d ) is not singly generated. As a result, the representation of the integer lattice Z d restricted to V 0 has a nontrivial multiplicity function. We show how the corresponding analysis and synthesis for these wavelets can be understood in terms of unitary-matrix-valued functions on a torus acting on a certain vector bundle. Specifically, we show how the wavelet functions on R d can be constructed directly from the generalized wavelet filters.

Research paper thumbnail of Activation of nuclear factor-κB by podocytes in the autologous phase of passive Heymann nephritis

Kidney International, 2001

the podocyte have not yet been determined, but may include Activation of nuclear factor-B by podo... more the podocyte have not yet been determined, but may include Activation of nuclear factor-B by podocytes in the autologous MMP-9. phase of passive Heymann nephritis.

Research paper thumbnail of Security and encryption optical systems based on a correlator with significant output images

An improved optical security system based on two phase-only computer-generated masks is proposed.... more An improved optical security system based on two phase-only computer-generated masks is proposed. The two transparencies are placed together in a 4f correlator so that a known output image is received. In addition to simple verification, our security system is capable of identifying the type of input mask according to the corresponding output image it generates. The two phase masks are designed with an iterative optimization algorithm with constraints in the input and the output domains. A simulation is presented with the resultant images formed by the two phase-only elements. Various mask combinations are compared to show that a combination is unique and cannot be duplicated. This uniqueness is an advantage in security systems.

Research paper thumbnail of Enabling Spacecraft Formation Flying through Spaceborne GPS and Enhanced Automation Technologies

Formation Flying is quickly revolutionizing the way the space community conducts autonomous scien... more Formation Flying is quickly revolutionizing the way the space community conducts autonomous science missions around the Earth and in space. This technological revolution will provide new, innovative ways for this community to gather scientific information, share this information between space vehicles and the ground, and expedite the Human exploration of space. Once fully matured, this technology will result in swarms of space vehicles flying as a virtual platform and gathering significantly more and better science data than is possible today. Formation flying will be enabled through the development and deployment of spaceborne differential Global Positioning System (GPS) technology and through innovative spacecraft autonomy techniques. This paper provides an overview of the current status of NASA/DoD/Industry/University partnership to bring Formation Flying technology to the forefront as quickly as possible, the hurdles that need to be overcome to achieve the formation flying vision, and the team's approach to transfer this technology to space. It will also describe some of the formation flying testbeds, such as Orion, that are being developed to demonstrate and validate these innovative GPS sensing and formation control technologies.

Research paper thumbnail of Technology initiatives for the autonomous guidance, navigation, and control of single and multiple satellites

In the twenty-first century, NASA envisions frequent low-cost missions to explore the solar syste... more In the twenty-first century, NASA envisions frequent low-cost missions to explore the solar system, observe the universe, and study our planet. To realize NASA&amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;amp;#39;s goal, the Guidance, Navigation, and Control Center (GNCC) at the Goddard Space Flight Center sponsors technology programs that enhance spacecraft performance, streamline processes and ultimately enable cheaper science. Our technology programs encompass control system architectures, sensor

Research paper thumbnail of The minimum degree of Ramsey-minimal graphs

Journal of Graph Theory, 2007

We write H → G if every 2-coloring of the edges of graph H contains a monochromatic copy of graph... more We write H → G if every 2-coloring of the edges of graph H contains a monochromatic copy of graph G. A graph H is G-minimal if H → G, but for every proper subgraph H of H, H → G. We define s(G) to be the minimum s such that there exists a G-minimal graph with a vertex of degree s. We prove that s(K k ) = (k − 1) 2 and s(K a,b ) = 2 min(a, b) − 1. We also pose several related open problems.

Research paper thumbnail of hash

public class Principal { public static void main(String[] args) { try { int i, n, resp; int m = I... more public class Principal { public static void main(String[] args) { try { int i, n, resp; int m = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Ingrese el tamaño de la tabla")); Hash[] h = new Hash[m]; for (i = 0; i < m; i++) { h[i] = new Hash(); h[i].estado = 0; } do { resp = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Menú Principal nn" + "Insertar (1)nBuscar nEliminar nSalir (4)")); switch (resp) { case 1: n = Integer.parseInt(javax.swing.JOptionPane.showInputDialog("Ingrese el número a ser insertado en la tabla:"));