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Articles 7321 - 7350 of 13031
Full-Text Articles in Engineering
Real-Time-Hybrid-Simulation Of Multi-Degree-Of-Freedom Systems With Multiple Time Steps, Lanxi Liu, Arun Prakash
Real-Time-Hybrid-Simulation Of Multi-Degree-Of-Freedom Systems With Multiple Time Steps, Lanxi Liu, Arun Prakash
The Summer Undergraduate Research Fellowship (SURF) Symposium
Computational simulation and physical experiments are both widely used in testing the response of a structure under earthquake loadings, but physical experiments can be expensive for large problems and numerical may result in the loss of important structural behavior caused by a large amount of assumptions. Real-time hybrid simulation (RTHS) is a combination of these two approaches, which uses both a numerical and physical substructures that interact in real time to simulate structural behavior. The numerical and physical substructures are connected using a transfer system that enforces compatibility between them. The physical substructure needs to be run at a very …
Code Optimization For Phase Field Method, Sergio Andres Monsalve, Marisol Koslowski
Code Optimization For Phase Field Method, Sergio Andres Monsalve, Marisol Koslowski
The Summer Undergraduate Research Fellowship (SURF) Symposium
The Phase field model method for studying grain dislocation at atomic level after applying an external force to the materials being tested, enables simulate the behavior of different materials after applying stress. With the appropriate numerical method the simulation could change drastically the complexity of the algorithm. Finding the most accurate and stable numerical method for the phase field model give us a considerable improving in the performance of the code used to simulate the phase field dynamic dislocation in larger and more complex simulations can be performed. We made an statistic comparison between the different methods, comparing stability and …
Testing Of Gelled And Neat Hypergolic Propellants, Bhuvi Swarna Nirudhoddi, Timothee Pourpoint
Testing Of Gelled And Neat Hypergolic Propellants, Bhuvi Swarna Nirudhoddi, Timothee Pourpoint
The Summer Undergraduate Research Fellowship (SURF) Symposium
Hypergolic propellants (hypergols) are propellants that ignite shortly after contact. They omit the requirement of an ignition system, making hypergolic engines simple, reliable and capable of being throttled several times. These advantages make them desirable for deep space missions. However, the applications are severely limited by their toxicity and reactivity. In an effort to increase the safety of manufacturing, shipping, and storing, these propellants can be combined with different gelling agents. The focus of this project is to build an optically accessible combustion chamber pressurized at 200 psi to compare the performance of gelled and neat Monomethyl Hydrazine (MMH) and …
Adhesive Elastomeric Proteins, Haefa Mansour, Julie Liu
Adhesive Elastomeric Proteins, Haefa Mansour, Julie Liu
The Summer Undergraduate Research Fellowship (SURF) Symposium
Sutures and staples commonly used to close surgical wounds tend to be much stiffer than the surrounding tissue, often resulting in external tissue damage. Surgical adhesives provide a promising alternative to these sutures and staples. Ideal surgical adhesives are biocompatible, able to set well and remain sticky in moist conditions, possess strong adhesive and cohesive properties, and exhibit mechanical properties that mimic those of the surrounding tissue. Unfortunately, the adhesives available today are unable to satisfactorily meet all of these criteria. We are utilizing protein engineering techniques to design, create, and test a new surgical adhesive that combines the adhesive …
Photolithography In Fabrication Of Thin-Film Solar Cells, Yusheng Zhu, Rakesh Agrawal
Photolithography In Fabrication Of Thin-Film Solar Cells, Yusheng Zhu, Rakesh Agrawal
The Summer Undergraduate Research Fellowship (SURF) Symposium
Solar energy has steadily increased its efficiency and cost-effectiveness throughout the past three decades and seems poised to compete with current primary energy (natural gas, oil, coal) as the need for alternative energy sources rises. One type of solar cell, thin-film cells, often relies on use of permanent photomasks in order to imprint a pattern onto the front metal contact. However, these machined metal masks are rigid and do not allow for different designs to be explored as current masks encounter difficulties in machining grids thin enough for optimization. Photolithography, traditionally used in the microfabrication field, provides a method in …
Direct Simulation Monte Carlo Simulation Toolkit For Equilibrium (0d) And Planar Couette Flow (1d), Austin I. Saragih, Alina A. Alexeenko
Direct Simulation Monte Carlo Simulation Toolkit For Equilibrium (0d) And Planar Couette Flow (1d), Austin I. Saragih, Alina A. Alexeenko
The Summer Undergraduate Research Fellowship (SURF) Symposium
Visualized simulation tool of Direct Simulation Monte Carlo (DSMC) is essential in aeronautical engineering and gas dynamics, by presenting information that can educate engineers and scientists to preliminarily understand the molecular gas dynamics and direct simulation of gas flows. Two educational tools and models are described for rarified gas flows and simulated particle collisions. A 0-Dimensional DSMC in approach to translational equilibrium was developed to simulate the speed distribution over time and the comparison between the final distribution and the Maxwell-Boltzmann distribution. A 1-Dimensional DSMC for Planar Couette flow was also developed to calculate the number of strikes of the …
Insights Into The Effect Of Geometrical Parameters In The Mechanical Properties Of The Radular Teeth Of The Cryptochiton Stelleri – A 3d Print Approach, Chan Jeong, Enrique Escobar, Pablo Zavattieri Dr.
Insights Into The Effect Of Geometrical Parameters In The Mechanical Properties Of The Radular Teeth Of The Cryptochiton Stelleri – A 3d Print Approach, Chan Jeong, Enrique Escobar, Pablo Zavattieri Dr.
The Summer Undergraduate Research Fellowship (SURF) Symposium
The Cryptochiton Stelleri is known to have ultra-hard radular teeth that have one of the largest hardness (9-12GPa) and stiffness (90-125GPa) among other biological materials such as Enamel and Abalone shell. The ultrastructure of the teeth is formed by a bundle of highly mineralized rods composed of iron oxides and organic material. The main method to measure the material properties has been through nanoindentation. However there are limitations to nanoindentation of the Chiton’s teeth such as limited equipment, costly and time consuming preparation of the samples, and observation of nanoscale features being difficult. In this work, the rod-like microstructure of …
Deep-Water Near-Bottom Turbulence In Lake Michigan: An Underwater Investigation, David J. Cannon, Cary Troy
Deep-Water Near-Bottom Turbulence In Lake Michigan: An Underwater Investigation, David J. Cannon, Cary Troy
The Summer Undergraduate Research Fellowship (SURF) Symposium
Motivated by a need to characterize near-bottom deep-water turbulence for an understanding of the filtration capabilities of invasive quagga mussels, an instrument tripod was deployed in Lake Michigan for six months in 60m of water to measure current velocities, with specific interest being paid to near-bottom (0.10 to 0.95 meters above bottom) velocities during the deployment. The deployment period (September 2012-April 2013) was characterized by very little stratification and a median temperature of about throughout the water column. A mean horizontal velocity of 3.6 cm/s with a standard deviation of 2 cm/s was also measured at 1 meter above the …
Microfluidic Platform For Immobilizing Cells To Surfaces, Sze Yung Li, Arvind Raman
Microfluidic Platform For Immobilizing Cells To Surfaces, Sze Yung Li, Arvind Raman
The Summer Undergraduate Research Fellowship (SURF) Symposium
Atomic Force Microscope (AFM) is an advanced nanotechnology tool for image mapping and cell properties measuring. One of the major challenges presented to the scientists in the field is the procedure for sample preparation. In order for a cell or virus to be measured by the AFM, it has to be firmly attached to the surface. Existing methods including chemical functionalization of surface for cells binding are often very slow process which hinders the possibility of high throughput measurement. Therefore, we propose a new method that utilizes a fluid circulation system to immobilize cells of interest to designated area to …
Solvent Selection For Liquid-Liquid Extraction Of Acetic Acid From Biomass Hydrolysate, Emma A. Barber, Mahdieh Aghazadeh, Abigail Engelberth
Solvent Selection For Liquid-Liquid Extraction Of Acetic Acid From Biomass Hydrolysate, Emma A. Barber, Mahdieh Aghazadeh, Abigail Engelberth
The Summer Undergraduate Research Fellowship (SURF) Symposium
Biofuels are one of the most hopeful alternative energy sources to fossil fuels. However, the processing and production of biofuels needs improvement to be economically competitive in the current market. One drawback is the presence of naturally occurring compounds that decrease the bioethanol production rate and yield; these are called inhibitors. A resolution to this problem is to remove the inhibitors from biomass fermentation broth prior to fermentation. This project examined liquid-liquid extraction (LLE) for removal of acetic acid, a major inhibitor. Initially, a stock solution of glucose, xylose, acetic acid, and water was combined with an additional organic solvent …
A Quantitative Analysis Of A Paper-Based, Laser-Defined, Oxygen-Generating Platform For Chronic Wounds, Tiffany L. Huang, Babak Ziaie
A Quantitative Analysis Of A Paper-Based, Laser-Defined, Oxygen-Generating Platform For Chronic Wounds, Tiffany L. Huang, Babak Ziaie
The Summer Undergraduate Research Fellowship (SURF) Symposium
Chronic wounds affect 6.5 million patients a year while consuming US$25 billion in health care costs (Sen 2009 Wound Repair Regen.). Despite advances in wound management therapies, modern treatment for chronic wounds still requires continual professional attention and expensive equipment, posing serious practical and financial burdens for the regular patient. To provide an alternative solution, we are developing a low-cost smart bandage platform that integrates actuators and sensors to monitor and treat chronic wounds. One component of the integrated platform is an oxygen-generating module. It is a polydimethylsiloxane (PDMS) based microfluidic device fabricated on a parchment paper substrate that …
Development Of Non-Invasive In Vivo Ultrasound Imaging Techniques For Elastase-Induced Experimental Abdominal Aortic Aneurysms, Alexa A. Yrineo, Elizabeth A. Nunamaker, Hilary D. Schroeder, Amy E. Bogucki, Craig J. Goergen
Development Of Non-Invasive In Vivo Ultrasound Imaging Techniques For Elastase-Induced Experimental Abdominal Aortic Aneurysms, Alexa A. Yrineo, Elizabeth A. Nunamaker, Hilary D. Schroeder, Amy E. Bogucki, Craig J. Goergen
The Summer Undergraduate Research Fellowship (SURF) Symposium
Abdominal aortic aneurysms (AAAs) are pathological dilations of the aorta which are associated with significant morbidity and mortality. The underlying mechanisms that cause this inflammatory disease are not fully understood and thus, are currently under investigation. In the hopes of preventing disease progression, rodent models that mimic the human condition have been developed to provide insight into the pathogenesis of AAAs. In this study, porcine pancreatic elastase (0.44 U; Sigma-Aldrich) was infused into the infrarenal aortas of male, Sprague Dawley rats to induce aneurysms. To perform the surgery, temporary ligatures were placed around proximal and distal sections of the abdominal …
Direct Quantitative Analysis Of Biomarkers Using Mass Spectrometry, Morgan N. Mcluckey, Zheng Ouyang
Direct Quantitative Analysis Of Biomarkers Using Mass Spectrometry, Morgan N. Mcluckey, Zheng Ouyang
The Summer Undergraduate Research Fellowship (SURF) Symposium
Point-of-care (POC) diagnostics describes a step in the medical treatment process where drugs can be monitored in a patient’s body on-site and in a timely fashion. Mass spectrometry (MS) can provide a quick, efficient, and highly accurate method of analysis of patient biofluids and tissues. Developing methods to bring this diagnostic mechanism to hospitals and clinics has the potential to improve patient care through, for example, personalized medicine. Our goal was to develop a way to effectively introduce internal standard (IS), a necessary chemical for the analytical process, to low-volume biofluid samples. Additionally, the effective direct quantitation of biomarkers with …
Environmental Monitoring In Preparation For The Installation Of A Green Roof, Andrew N. Martin, Ming Qu
Environmental Monitoring In Preparation For The Installation Of A Green Roof, Andrew N. Martin, Ming Qu
The Summer Undergraduate Research Fellowship (SURF) Symposium
Green roofs are becoming an increasingly popular way to improve the environmental, economic, and aesthetic performance of both new and existing buildings. Along with the green roofs themselves, it is also common to install sensors to measure various environmental parameters that are affected by or important to the operation of the roof such as precipitation, temperature, and runoff. However, for most of these systems, the sensors are installed at the same time or even after the green roof. Therefore, no before-and-after comparisons can be made for those roofs. To account for this missing data, monitoring equipment was installed on a …
Iron-Magnesium Alloy Bioabsorbable Blood Stent, Kaitlyn Jarry, L Stanciu
Iron-Magnesium Alloy Bioabsorbable Blood Stent, Kaitlyn Jarry, L Stanciu
The Summer Undergraduate Research Fellowship (SURF) Symposium
Bioabsorbable materials are fairly new and proper alloys for implantation in the body have not yet been established. There are a few polymers that have showed promise, but they do not provide the proper mechanical support that metal does. These materials would be used to create devices such as blood stents and orthopedic screws. Investigation into the properties of different alloys can help to establish a material that can be used for implanted devices that are only needed for a limited amount of time. In order to investigate these alloys many different experiments will to be run to test the …
Python-Based Simulation Tool For Kinetic Monte Carlo, Zaiwei Zhang, R. Edwin García
Python-Based Simulation Tool For Kinetic Monte Carlo, Zaiwei Zhang, R. Edwin García
The Summer Undergraduate Research Fellowship (SURF) Symposium
Simulation tools are highly needed for testing or designing nanotechnology in university research projects.The problem in the current simulation tool used in our research, which is conducted by Prof.Garcia in MSE department at Purdue, is that users cannot observe the changing numbers of diffusivities during Vacancy Diffusion simulations between different materials. Also, there is no Graphic User Interface for the simulation tools.To solve the problem, the Virtual Kinetics of Materials Laboratory program is used to create the Graphic User Interface. Also, GTK+ toolkit has been used to create a pop-up window displaying updated diffusivities during the simulation. For user purpose, …
Mechanical Design Of Real-Time Substrate Transport Control For Stable And Efficient Thin-Film-Based Roll-To-Roll (R2r) Micro-Nanomanufacturing, Guoao Sun, Liang Pan
Mechanical Design Of Real-Time Substrate Transport Control For Stable And Efficient Thin-Film-Based Roll-To-Roll (R2r) Micro-Nanomanufacturing, Guoao Sun, Liang Pan
The Summer Undergraduate Research Fellowship (SURF) Symposium
The commercialization of electronic devices requires the high efficiency and stable mirco-nanomanufacturing processes that allow frequent design upgrades. R2R Nano is a gateway to science and engineering research that aims to impact the widespread adoption of R2R technologies for low-cost, high-volume production of high technology products on flexible substrates. However, there are lots of the mechanical and chemical factors influencing the system performance when fabricating nano-scale structures. Thus, feedback control system is increasingly playing a great role in improving the R2R performance.
The aim of my work of the project is more related to design mechanical section of the whole …
Recursive Multi-Time-Step Coupling Of Multiple Subdomains, Yukun An, Payton Lindsay, Xiaowo Wang, Arun Prakash
Recursive Multi-Time-Step Coupling Of Multiple Subdomains, Yukun An, Payton Lindsay, Xiaowo Wang, Arun Prakash
The Summer Undergraduate Research Fellowship (SURF) Symposium
The need for efficient computation methods for modeling of large-scale structures has become critically important over the past few years. Efficient means of analysis often involve coupling in space through domain decomposition and multi scale methods in time. The multi-time-step coupling method is a coupling method in time which allows for efficient analysis of large-scale problems for structural dynamics where a large structural model is decomposed into smaller subdomains that are solved independently and then coupled back together to obtain the global solution. For coupling of more than two subdomains that are solved at different timesteps, we employ recursive methods. …
Estimation Of Two-Stage Ditch Excavation Volume Using Lidar Data Full Paper, Kirsten E. Paff, Jane Frankenberger, Naime Celik
Estimation Of Two-Stage Ditch Excavation Volume Using Lidar Data Full Paper, Kirsten E. Paff, Jane Frankenberger, Naime Celik
The Summer Undergraduate Research Fellowship (SURF) Symposium
Drainage ditches are a major pathway for sediment, nutrients, and pesticides to enter stream systems, which threaten environmental and human health. Unlike trapezoidal ditches, two-stage ditches have a vegetated bench that acts as a floodplain, which helps to prevent erosion and to increase the processing of nutrients to improve water quality. Converting a trapezoidal ditch to a two-stage ditch is expensive, due to the large volumes of soil that need to be excavated. Since ditch geometries vary significantly and surveying each potential site by hand would be time consuming and expensive, a tool based upon online Light Detection and Ranging …
Electrochemical Sensing With Metal Oxides, Isabella Ramirez, Lia Stanciu, Alexandra Snyder
Electrochemical Sensing With Metal Oxides, Isabella Ramirez, Lia Stanciu, Alexandra Snyder
The Summer Undergraduate Research Fellowship (SURF) Symposium
The effective sensing of hydrogen peroxide is important for a variety of reasons. It can be utilized as a diagnostic tool for diseases like asthma; also, the sensing can be utilized in pharmaceutical and food production for quality control. The use of silver oxide nanoparticles with varying morphologies has not been investigated as a sensing agent for hydrogen peroxide in the past. The particles’ properties and ability to oxidize and reduce hydrogen peroxide suggest that they will be effective to create a sensitive sensor. The silver oxide particles were prepared through chemical reduction using varying molar ratios of reactants. The …
Characterization Of The Saturation Level Of Nucleosome Arrays And Plasmids By Mnase Digestion, Wenjie Liu, Nathan Nurse, Chongli Yuan
Characterization Of The Saturation Level Of Nucleosome Arrays And Plasmids By Mnase Digestion, Wenjie Liu, Nathan Nurse, Chongli Yuan
The Summer Undergraduate Research Fellowship (SURF) Symposium
Studying processes involving DNA such as DNA replication and transcription is best done in the context of chromatin because the structure of DNA influences the efficiency of such processes. Chromatin structure is derived from DNA wrapping around histone octamers with the histone octamer density termed saturation level. For in vitro studies on DNA replication and transcription, it is important to maintain a constant saturation level so that saturation level can be removed as a variable. Our goal is to characterize the saturation level of plasmids using the rate of MNase digestion. MNase digestions were first performed on reconstituted nucleosome arrays …
Use Of Oscillatory Shear To Study The Effect Of Limestone Filler On The Rheology Of Early-Age Portland Cement, Christopher W. Barney, Kendra Erk
Use Of Oscillatory Shear To Study The Effect Of Limestone Filler On The Rheology Of Early-Age Portland Cement, Christopher W. Barney, Kendra Erk
The Summer Undergraduate Research Fellowship (SURF) Symposium
Cement is a material that has been in use since the ancient times and is the most widely manufactured material in industry today. During the production of cement, limestone undergoes a process called calcination which releases CO2. In order to reduce the environmental impact and cost of cement production it has become standard practice to replace a portion of the cement mixture with ground limestone, but this causes a change in the rheological profile of the mixture. This change in rheology affects both the short and long term workability of the material. In this study, small amplitude oscillatory …
Data Workflow In Large Scale Simulations Of Blood Flow In Aneurysms, Paolo Di Achille, Jay D. Humphrey
Data Workflow In Large Scale Simulations Of Blood Flow In Aneurysms, Paolo Di Achille, Jay D. Humphrey
Yale Day of Data
Aneurysms are responsibile for significant morbidity and mortality, and there is a need for an increased understanding of all the aspects of the natural history of these lesions. We are currently working to extend our analyses with the goal of creating models of aneurysmal progression that are able to predict rupture risk through the description of the evolving geometry, structure, properties, and loads.
Realization of patient specific models of the blood circulation necessitates a complex computationally and data intensive procedure that starts from the collection of medical images in a clinical setting and encompasses several stages of data processing on …
2-Dimensional Personal Motion Energy Harvester For Low Power Electronics, Manuel Gutierrez, Sean Scott, Dimitrios Peroulis
2-Dimensional Personal Motion Energy Harvester For Low Power Electronics, Manuel Gutierrez, Sean Scott, Dimitrios Peroulis
The Summer Undergraduate Research Fellowship (SURF) Symposium
In a lab, it becomes crucial to have a way to monitor that lab workers aren’t exposed to too much radiation. Such a device that detects this should have an energy harvester so that batteries aren’t required. The need for an energy harvester that generates power from a user’s movements in 2 dimensions is needed. This energy harvester is needed to power a radiation monitor. An energy harvester that generates power based off movements in 2 dimensions was developed. The energy harvester was created through a series of prototypes. Each prototype was built from a CAD drawing and a stereolithography …
A Forensic Study Of The Effectiveness Of Selected Anti-Virus Products Against Ssdt Hooking Rootkits, Sami Al-Shaheri, Dale Lindskog, Pavol Zavarsky, Ron Ruhl
A Forensic Study Of The Effectiveness Of Selected Anti-Virus Products Against Ssdt Hooking Rootkits, Sami Al-Shaheri, Dale Lindskog, Pavol Zavarsky, Ron Ruhl
Annual ADFSL Conference on Digital Forensics, Security and Law
For Microsoft Windows Operating Systems, both anti-virus products and kernel rootkits often hook the System Service Dispatch Table (SSDT). This research paper investigates the interaction between these two in terms of the SSDT. To investigate these matters, we extracted digital evidence from volatile memory, and studied that evidence using the Volatility framework. Due to the diversity in detection techniques used by the anti-virus products, and the diversity of infection techniques used by rootkits, our investigation produced diverse results, results that helped us to understand several SSDT hooking strategies, and the interaction between the selected anti-virus products and the rootkit samples. …
An Ontology-Based Forensic Analysis Tool, Mohammed Alzaabi, Andy Jones, Thomas A. Martin
An Ontology-Based Forensic Analysis Tool, Mohammed Alzaabi, Andy Jones, Thomas A. Martin
Annual ADFSL Conference on Digital Forensics, Security and Law
The analysis of forensic investigation results has generally been identified as the most complex phase of a digital forensic investigation. This phase becomes more complicated and time consuming as the storage capacity of digital devices is increasing, while at the same time the prices of those devices are decreasing. Although there are some tools and techniques that assist the investigator in the analysis of digital evidence, they do not adequately address some of the serious challenges, particularly with the time and effort required to conduct such tasks. In this paper, we consider the use of semantic web technologies and in …
First Glance: An Introductory Analysis Of Network Forensics Of Tor, Raymond Hansen
First Glance: An Introductory Analysis Of Network Forensics Of Tor, Raymond Hansen
Annual ADFSL Conference on Digital Forensics, Security and Law
The Tor network is a low-latency overlay network for TCP flows that is designed to provide privacy and anonymity to its users. It is currently in use by many as a means to avoid censorship of both information to be shared and information to be retrieved. This paper details the architecture of the Tor network as a platform for evaluating the current state of forensic analysis of the Tor network. Specific attempts to block access to the Tor network are examined to identify (a) the processes utilized to identify Tor nodes, and (b) the resulting exposure of potentially inculpatory evidence. …
A Thematic Review Of User Compliance With Information Security Policies Literature, David Sikolia
A Thematic Review Of User Compliance With Information Security Policies Literature, David Sikolia
Annual ADFSL Conference on Digital Forensics, Security and Law
The adoption of computer and internet technology has greatly improved the way businesses operate. However the risk to the confidentiality, integrity and availability of organizational data and systems has greatly increased too. Information security is an ever present concern for all organizations. Financial estimates of the impact of security breaches to information and technology resources range from hundreds of billions to over one trillion dollars each year worldwide (D'Arcy et al., 2011b). Organizations have therefore developed a combination of technical, administrative, and physical controls to reduce this risk (D'Arcy et al., 2011a). Administrative measures include the development of information security …
Journey Into Windows 8 Recovery Artifacts, W. K. Johnson
Journey Into Windows 8 Recovery Artifacts, W. K. Johnson
Annual ADFSL Conference on Digital Forensics, Security and Law
One of the most difficult processes of digital forensics is to understand how new technology interacts with current technology and how digital forensic analysts can utilize current Digital Forensics technologies and processes to recover and find information hidden. Microsoft has released their new operating system Windows 8, with this new release Microsoft has added some features to the operating system that will present some interesting complications to digital forensics. Since the initial release of the Windows 8 Release Candidates there have been some research released that focus primarily on the new user created artifacts and a few artifacts that have …
An Image Forensic Scheme With Robust And Fragile Watermarking For Business Documents, Sai Ho Kwok
An Image Forensic Scheme With Robust And Fragile Watermarking For Business Documents, Sai Ho Kwok
Annual ADFSL Conference on Digital Forensics, Security and Law
This paper proposes an image forensic scheme with both robust and fragile watermarking techniques for business documents. Through a dual watermarking approach, the proposed scheme can achieve image forensics objectives of (a) identification of source; (b) authentication of documents; and (c) locating the tempered areas of documents due to attacks. An example is presented to prove the concepts of the proposed scheme.
Keywords: Image Forensics, Fragile and Robust Watermarking, Business Document.