Understanding Least Squares Estimation And Geomatics Data Analysis
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| Author | : John Olusegun Ogundare |
| Publisher | : John Wiley & Sons |
| Total Pages | : 724 |
| Release | : 2018-10-10 |
| Genre | : Mathematics |
| ISBN | : 111950144X |
Provides a modern approach to least squares estimation and data analysis for undergraduate land surveying and geomatics programs Rich in theory and concepts, this comprehensive book on least square estimation and data analysis provides examples that are designed to help students extend their knowledge to solving more practical problems. The sample problems are accompanied by suggested solutions, and are challenging, yet easy enough to manually work through using simple computing devices, and chapter objectives provide an overview of the material contained in each section. Understanding Least Squares Estimation and Geomatics Data Analysis begins with an explanation of survey observables, observations, and their stochastic properties. It reviews matrix structure and construction and explains the needs for adjustment. Next, it discusses analysis and error propagation of survey observations, including the application of heuristic rule for covariance propagation. Then, the important elements of statistical distributions commonly used in geomatics are discussed. Main topics of the book include: concepts of datum definitions; the formulation and linearization of parametric, conditional and general model equations involving typical geomatics observables; geomatics problems; least squares adjustments of parametric, conditional and general models; confidence region estimation; problems of network design and pre-analysis; three-dimensional geodetic network adjustment; nuisance parameter elimination and the sequential least squares adjustment; post-adjustment data analysis and reliability; the problems of datum; mathematical filtering and prediction; an introduction to least squares collocation and the kriging methods; and more. Contains ample concepts/theory and content, as well as practical and workable examples Based on the author's manual, which he developed as a complete and comprehensive book for his Adjustment of Surveying Measurements and Special Topics in Adjustments courses Provides geomatics undergraduates and geomatics professionals with required foundational knowledge An excellent companion to Precision Surveying: The Principles and Geomatics Practice Understanding Least Squares Estimation and Geomatics Data Analysis is recommended for undergraduates studying geomatics, and will benefit many readers from a variety of geomatics backgrounds, including practicing surveyors/engineers who are interested in least squares estimation and data analysis, geomatics researchers, and software developers for geomatics.
| Author | : John Olusegun Ogundare |
| Publisher | : John Wiley & Sons |
| Total Pages | : 724 |
| Release | : 2018-11-13 |
| Genre | : Mathematics |
| ISBN | : 1119501393 |
Provides a modern approach to least squares estimation and data analysis for undergraduate land surveying and geomatics programs Rich in theory and concepts, this comprehensive book on least square estimation and data analysis provides examples that are designed to help students extend their knowledge to solving more practical problems. The sample problems are accompanied by suggested solutions, and are challenging, yet easy enough to manually work through using simple computing devices, and chapter objectives provide an overview of the material contained in each section. Understanding Least Squares Estimation and Geomatics Data Analysis begins with an explanation of survey observables, observations, and their stochastic properties. It reviews matrix structure and construction and explains the needs for adjustment. Next, it discusses analysis and error propagation of survey observations, including the application of heuristic rule for covariance propagation. Then, the important elements of statistical distributions commonly used in geomatics are discussed. Main topics of the book include: concepts of datum definitions; the formulation and linearization of parametric, conditional and general model equations involving typical geomatics observables; geomatics problems; least squares adjustments of parametric, conditional and general models; confidence region estimation; problems of network design and pre-analysis; three-dimensional geodetic network adjustment; nuisance parameter elimination and the sequential least squares adjustment; post-adjustment data analysis and reliability; the problems of datum; mathematical filtering and prediction; an introduction to least squares collocation and the kriging methods; and more. Contains ample concepts/theory and content, as well as practical and workable examples Based on the author's manual, which he developed as a complete and comprehensive book for his Adjustment of Surveying Measurements and Special Topics in Adjustments courses Provides geomatics undergraduates and geomatics professionals with required foundational knowledge An excellent companion to Precision Surveying: The Principles and Geomatics Practice Understanding Least Squares Estimation and Geomatics Data Analysis is recommended for undergraduates studying geomatics, and will benefit many readers from a variety of geomatics backgrounds, including practicing surveyors/engineers who are interested in least squares estimation and data analysis, geomatics researchers, and software developers for geomatics.
| Author | : John Olusegun Ogundare |
| Publisher | : John Wiley & Sons |
| Total Pages | : 722 |
| Release | : 2018-10-05 |
| Genre | : Mathematics |
| ISBN | : 1119501407 |
Provides a modern approach to least squares estimation and data analysis for undergraduate land surveying and geomatics programs Rich in theory and concepts, this comprehensive book on least square estimation and data analysis provides examples that are designed to help students extend their knowledge to solving more practical problems. The sample problems are accompanied by suggested solutions, and are challenging, yet easy enough to manually work through using simple computing devices, and chapter objectives provide an overview of the material contained in each section. Understanding Least Squares Estimation and Geomatics Data Analysis begins with an explanation of survey observables, observations, and their stochastic properties. It reviews matrix structure and construction and explains the needs for adjustment. Next, it discusses analysis and error propagation of survey observations, including the application of heuristic rule for covariance propagation. Then, the important elements of statistical distributions commonly used in geomatics are discussed. Main topics of the book include: concepts of datum definitions; the formulation and linearization of parametric, conditional and general model equations involving typical geomatics observables; geomatics problems; least squares adjustments of parametric, conditional and general models; confidence region estimation; problems of network design and pre-analysis; three-dimensional geodetic network adjustment; nuisance parameter elimination and the sequential least squares adjustment; post-adjustment data analysis and reliability; the problems of datum; mathematical filtering and prediction; an introduction to least squares collocation and the kriging methods; and more. Contains ample concepts/theory and content, as well as practical and workable examples Based on the author's manual, which he developed as a complete and comprehensive book for his Adjustment of Surveying Measurements and Special Topics in Adjustments courses Provides geomatics undergraduates and geomatics professionals with required foundational knowledge An excellent companion to Precision Surveying: The Principles and Geomatics Practice Understanding Least Squares Estimation and Geomatics Data Analysis is recommended for undergraduates studying geomatics, and will benefit many readers from a variety of geomatics backgrounds, including practicing surveyors/engineers who are interested in least squares estimation and data analysis, geomatics researchers, and software developers for geomatics.
| Author | : John N. Hatzopoulos |
| Publisher | : BrownWalker Press |
| Total Pages | : 554 |
| Release | : 2024-05-01 |
| Genre | : Technology & Engineering |
| ISBN | : 1599426447 |
This book is for students and professionals involved in Geospatial Computations and related areas such as Geomatics, Surveying Engineering, Geoinformatics, Geospatial Information Science and Technology (GIS&T), Geography, Geology, Agriculture, and Geointelligence. More emphasis is given to using scientific methods and tools materialized in algorithms and software to produce practical results. Specifically, algorithms such as error analysis of measurements and the least squares adjustment method to obtain ground coordinates of points with their reliability to construct the geometric framework of the geographical space necessary for various geospatial applications such as a Geographic Information System (GIS) are discussed. Other algorithms involve interpolation methods for DEM and spatial data analysis. Furthermore, such algorithms in the geospatial area are basic surveying methods using a total station, photogrammetry, digital terrain modeling, GNSS, augmented reality, coordinate transformations, map projections, and interpolation. Most algorithms are implemented into 27 educational computer programs and necessary data to understand GIS&T operations from the inside with a didactics approach targeting to become more intelligent than machines. The educational programs include general photogrammetric operations with aerial photography and drones, 3-D surveying network adjustment, GNSS navigation solutions, and many others. This approach helps to obtain high-quality scientific and technological bases, which in turn enhance the ability to exploit and use most tools and functions of existing GIS&T systems and, therefore, to be highly competitive as a professional in the market. This book has ten chapters such as Measurements and Errors Estimation and Accuracy Standards, Specialized Numerical Methods, Error Propagation & Least Squares Adjustment, Condition Method and Generalized Least Squares, Applications to Map Projections and Transformation of Coordinates, Applications to Surveying Networks, Applications of Computational Methods in Photogrammetry, Digital Elevation Models (DEM), Computer Programming – Scripting & AI.
| Author | : Zeynal Abiddin Ergüler |
| Publisher | : Springer Nature |
| Total Pages | : 238 |
| Release | : 2023-12-09 |
| Genre | : Science |
| ISBN | : 3031437594 |
This book contains the best papers accepted for presentation at the 3rd Springer Conference of the Arabian Journal of Geosciences (CAJG-3). The book is divided into three parts to distinguish research studies from the fields of (1) geological and geotechnical engineering, (2) geomechanical studies based on numerical and analytical methods, and (3) geo-informatics and remote sensing. The content of these papers provides new scientific knowledge for further understanding on landslides, new stabilization techniques, importance of geophysics for engineering geology investigations as well as new empirical approaches for easily predicting some physical and hydrogeomechanical properties of geomaterials. It also sheds the light on usage of different remote sensing technologies, mapping techniques in a geographic information systems environment along with some advanced signal processing, and deep learning approaches. The book is of interest to all researchers, practitioners, and students in the fields of geological and mining engineering, geotechnical engineering, hydrogeomechanics, engineering geology, geotechnologies, groundwater and natural hazards, and analyses of some emerging earth processes and environmental variabilities.
| Author | : Charles D. Ghilani |
| Publisher | : John Wiley & Sons |
| Total Pages | : 640 |
| Release | : 2006-06-12 |
| Genre | : Technology & Engineering |
| ISBN | : 0471697281 |
"This companion CD-ROM contains: The software ADJUST, MATRIX, and STATS (This software is windows only), Mathcad and HTML worksheets"--CD-ROM.
| Author | : John Olusegun Ogundare |
| Publisher | : John Wiley & Sons |
| Total Pages | : 648 |
| Release | : 2015-09-22 |
| Genre | : Technology & Engineering |
| ISBN | : 1119102901 |
A comprehensive overview of high precision surveying, including recent developments in geomatics and their applications This book covers advanced precision surveying techniques, their proper use in engineering and geoscience projects, and their importance in the detailed analysis and evaluation of surveying projects. The early chapters review the fundamentals of precision surveying: the types of surveys; survey observations; standards and specifications; and accuracy assessments for angle, distance and position difference measurement systems. The book also covers network design and 3-D coordinating systems before discussing specialized topics such as structural and ground deformation monitoring techniques and analysis, mining surveys, tunneling surveys, and alignment surveys. Precision Surveying: The Principles and Geomatics Practice: Covers structural and ground deformation monitoring analysis, advanced techniques in mining and tunneling surveys, and high precision alignment of engineering structures Discusses the standards and specifications available for geomatics projects, including their representations, interpretations, relationships with quality assurance/quality control measures, and their use in geomatics projects Describes network design and simulation, including error analysis and budgeting Explains the main properties of high-precision surveys with regard to basic survey procedures and different traditional measurement techniques Analyzes survey observables such as angle, distance, elevation difference and coordinate difference measurements, and the relevant equipment, including the testing and utilization of the equipment Provides several case studies and real world examples Precision Surveying: The Principles and Geomatics Practice is written for upper undergraduate students and graduate students in the fields of surveying and geomatics. This textbook is also a resource for geomatics researchers, geomatics software developers, and practicing surveyors and engineers interested in precision surveys.
| Author | : Charles D. Ghilani |
| Publisher | : John Wiley & Sons |
| Total Pages | : 720 |
| Release | : 2017-10-23 |
| Genre | : Technology & Engineering |
| ISBN | : 1119385989 |
The definitive guide to bringing accuracy to measurement, updated and supplemented Adjustment Computations is the classic textbook for spatial information analysis and adjustment computations, providing clear, easy-to-understand instruction backed by real-world practicality. From the basic terms and fundamentals of errors to specific adjustment computations and spatial information analysis, this book covers the methodologies and tools that bring accuracy to surveying, GNSS, GIS, and other spatial technologies. Broad in scope yet rich in detail, the discussion avoids overly-complex theory in favor of practical techniques for students and professionals. This new sixth edition has been updated to align with the latest developments in this rapidly expanding field, and includes new video lessons and updated problems, including worked problems in STATS, MATRIX, ADJUST, and MathCAD. All measurement produces some amount of error; whether from human mistakes, instrumentation inaccuracy, or environmental features, these errors must be accounted and adjusted for when accuracy is critical. This book describes how errors are identified, analyzed, measured, and corrected, with a focus on least squares adjustment—the most rigorous methodology available. Apply industry-standard methodologies to error analysis and adjustment Translate your skills to the real-world with instruction focused on the practical Master the fundamentals as well as specific computations and analysis Strengthen your understanding of critical topics on the Fundamentals in Surveying Licensing Exam As spatial technologies expand in both use and capability, so does our need for professionals who understand how to check and adjust for errors in spatial data. Conceptual knowledge is one thing, but practical skills are what counts when accuracy is at stake; Adjustment Computations provides the real-world training you need to identify, analyze, and correct for potentially crucial errors.
| Author | : AliReza Amiri-Simkooei |
| Publisher | : |
| Total Pages | : 228 |
| Release | : 2007 |
| Genre | : Geodesy |
| ISBN | : |
| Author | : Sabine Van Huffel |
| Publisher | : SIAM |
| Total Pages | : 302 |
| Release | : 1991-01-01 |
| Genre | : Mathematics |
| ISBN | : 0898712750 |
This is the first book devoted entirely to total least squares. The authors give a unified presentation of the TLS problem. A description of its basic principles are given, the various algebraic, statistical and sensitivity properties of the problem are discussed, and generalizations are presented. Applications are surveyed to facilitate uses in an even wider range of applications. Whenever possible, comparison is made with the well-known least squares methods. A basic knowledge of numerical linear algebra, matrix computations, and some notion of elementary statistics is required of the reader; however, some background material is included to make the book reasonably self-contained.
