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3-D Global Spatial Data Model: Principles and Applications, Second Edition 2nd edition [Kõva köide]

  • Formaat: Hardback, 492 pages, kõrgus x laius: 234x156 mm, kaal: 876 g, 31 Tables, black and white; 4 Illustrations, color; 109 Illustrations, black and white
  • Ilmumisaeg: 24-Jul-2017
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1498722164
  • ISBN-13: 9781498722162
  • Formaat: Hardback, 492 pages, kõrgus x laius: 234x156 mm, kaal: 876 g, 31 Tables, black and white; 4 Illustrations, color; 109 Illustrations, black and white
  • Ilmumisaeg: 24-Jul-2017
  • Kirjastus: CRC Press Inc
  • ISBN-10: 1498722164
  • ISBN-13: 9781498722162
Traditional methods for handling spatial data are encumbered by the assumption of separate origins for horizontal and vertical measurements, but modern measurement systems operate in a 3-D spatial environment. The 3-D Global Spatial Data Model: Principles and Applications, Second Edition maintains a new model for handling digital spatial data, the global spatial data model or GSDM. The GSDM preserves the integrity of three-dimensional spatial data while also providing additional benefits such as simpler equations, worldwide standardization, and the ability to track spatial data accuracy with greater specificity and convenience. This second edition expands to new topics that satisfy a growing need in the GIS, professional surveyor, machine control, and Big Data communities while continuing to embrace the earth center fixed coordinate system as the fundamental point of origin of one, two, and three-dimensional data sets. Ideal for both beginner and advanced levels, this book also provides guidance and insight on how to link to the data collected and stored in legacy systems.

Arvustused

"As a practicing surveyor responsible for producing 3D geodetic survey control to establish and define the NSRS relationship on large transportation and infrastructure projects involving cutting edge state of the art geospatial technology such as Mobile Lidar and UAV Lidar / Imagery Acquisition, I am utterly astounded that we are still working in the dark ages using State Plane Coordinates, and so dissatisfied with the outcome, we scale them back to the ground where we made the measurements in the first place. Seriously, how much longer must we endure the Grid vs. Ground non-solution? How many more classes and workshops on Grid vs. Ground must there be? A better solution, the LDP still lingers with only some limited examples of implementation. With the problems caused by the improper use of the SPCS over the past several decades, it is unlikely that a more sophisticated solution like the LDP will replace the former. The NSRS will be redefined shortly, only a few years away, including a new gravimetric vertical datum. The time for the GSDM is here right now. Read this book today. Become an advocate and a voice promoting the GSDM. Your children will thank you for it and your grandchildren will remember you for it." Jesse Kozlowski, Geodetic Surveyor, Maser Consulting, Philadelphia, Pennsylvania, USA

"The 3-D Global Spatial Data Model: Principles and Applications, 2nd Edition is remarkable in its complete and comprehensive treatment of the geocentric Cartesian coordinate system, which is the basis for modern geomatics. Earl Burkholder has delved deeply into every aspect of this coordinate system and used it to produce a unified approach to handling all aspects of geospatial data. The book is essentially self-contained, including fundamentals such as number systems, logic, arithmetic, algebra, and geometry; plus more advanced topics in geometric geodesy, physical geodesy, and error theory. The treatment includes worked examples so it is accessible

Preface to the Second Edition xix
Preface to the First Edition xxi
Acknowledgments xxiii
Author xxv
List of Abbreviations xxvii
Introduction xxxi
Chapter 1 The Global Spatial Data Model (GSDM) Defined 1(20)
Introduction
1(1)
The GSDM
2(16)
Functional Model Component
3(2)
Computational Designations
5(5)
Algorithm for Functional Model
10(4)
Stochastic Model Component
14(1)
The GSDM Covariance Matrices
14(2)
The GSDM 3-D Inverse
16(2)
BURKORD™: Software and Database
18(1)
Summary
18(1)
References
19(2)
Chapter 2 Featuring the 3-D Global Spatial Data Model 21(8)
Introduction
21(1)
The GSDM Facilitates Existing Initiatives
22(3)
U.S. National Academy of Public Administration Reports
22(1)
National Oceanic and Atmospheric Administration
23(1)
Coalition of Geospatial Organizations
24(1)
Other Applications
25(1)
Dynamic Environments
25(1)
Static Environments
25(1)
Information Provided by the GSDM
26(1)
Summary
26(1)
References
27(2)
Chapter 3 Spatial Data and the Science of Measurement 29(18)
Introduction
29(1)
Spatial Data Defined
29(1)
Coordinate Systems Give Meaning to Spatial Data
30(4)
Spatial Data Types
32(2)
Spatial Data Visualization Is Well Defined
34(1)
Direct and Indirect Measurements Contain Uncertainty
34(1)
Fundamental Physical Constants Are Held Exact
34(1)
Measurements/Observations Contain Errors
35(1)
Measurements Used to Create Spatial Data
35(6)
Taping
35(1)
Leveling
35(1)
EDMI
35(1)
Angles
36(1)
GPS and GNSS
36(2)
Remote Sensing
38(1)
Photogrammetry
38(1)
LiDAR
38(1)
Logistics
38(1)
Errorless Spatial Data
39(2)
Sources of Primary Spatial Data
41(1)
Observations and Measurements
41(1)
Errorless Quantities
42(1)
Derived Spatial Data Are Computed from Primary Spatial Data
42(1)
Establishing and Preserving the Value of Spatial Data
43(1)
Summary
44(1)
References
44(3)
Chapter 4 Summary of Mathematical Concepts 47(46)
Introduction
47(1)
Conventions
48(6)
Numbers
48(1)
Fractions
48(1)
Decimal
48(1)
Radian
49(1)
Sexagesimal
50(1)
Binary
50(1)
Unit Conversions
51(1)
Coordinate Systems
51(1)
Significant Digits
52(3)
Addition and Subtraction
52(1)
Multiplication and Division
53(1)
Avoid Mistakes by Working with Coordinate Differences
54(1)
Logic
54(1)
Arithmetic
55(1)
Algebra
55(1)
Axioms of Equality (for Real Numbers A, B, and C)
56(1)
Axioms of Addition (for Real Numbers A, B, and C)
56(1)
Axioms of Multiplication (for Real Numbers A, B, and C)
56(1)
Boolean Algebra
56(1)
Geometry
56(4)
Point
57(1)
Distance
57(1)
Dimension
57(1)
Line
57(1)
Plane
57(1)
Angle
58(1)
Circle
58(1)
Ellipse
58(1)
Triangle
58(1)
Quadrilateral
58(1)
Rectangle
59(1)
Square
59(1)
Trapezoid
59(1)
Parallelogram
59(1)
Polygon
59(1)
Pythagorean Theorem
59(1)
Solid Geometry
60(2)
Sphere
60(1)
Ellipsoid
60(1)
Cube
60(1)
Polyhedron
60(1)
Tetrahedron
60(1)
Pyramid
60(1)
Equation of a Plane in Space
60(1)
Equation of a Sphere in Space
61(1)
Equation of an Ellipsoid Centered on the Origin
61(1)
Conic Sections
61(1)
Vectors
62(1)
Trigonometry
62(3)
Trigonometric Identities
63(1)
Law of Sines
64(1)
Law of Cosines
65(1)
Spherical Trigonometry
65(3)
Calculus
68(3)
Example
68(2)
Differential Calculus Equations
70(1)
Integral Calculus Equations
70(1)
Probability and Statistics
71(9)
Introduction
71(1)
Standard Deviation
72(1)
Measurement
73(1)
Errors
73(1)
Blunders
74(1)
Systematic Errors
74(1)
Random Errors
74(1)
Error Sources
74(1)
Personal
74(1)
Environmental
75(1)
Instrumental
75(1)
Accuracy and Precision
75(1)
Computing Standard Deviations
76(1)
Standard Deviation of the Mean
76(1)
Confidence Intervals
77(1)
Hypothesis Testing
78(1)
Matrix Algebra
79(1)
Models
80(1)
Functional
80(1)
Stochastic
80(1)
Error Propagation
81(6)
Error Ellipses
87(1)
Least Squares
88(2)
Linearization
89(1)
Procedure for Nonlinear Solution
90(1)
Applications to the GSDM
90(1)
References
91(2)
Chapter 5 Geometrical Models for Spatial Data Computations 93(38)
Introduction
93(1)
Conventions
94(3)
Two-Dimensional Cartesian Models
97(2)
Math/Science Reference System
98(1)
Engineering/Surveying Reference System
98(1)
Coordinate Geometry
99(7)
Forward
99(1)
Inverse
100(1)
Intersections
100(4)
Line-Line (One Solution or No Solution If Lines Are Parallel)
102(1)
Line-Circle (May Have Two Solutions, One Solution, or No Solution)
102(1)
Circle-Circle (May Have Two Solutions, One Solution, or No Solution)
103(1)
Perpendicular Offset
104(1)
Area by Coordinates
104(2)
Circular Curves
106(7)
Definitions
106(1)
Degree of Curve
106(1)
Elements and Equations
107(2)
Stationing
109(1)
Metric Considerations
110(1)
Area Formed by Curves
111(1)
Area of Unit Circle
112(1)
Spiral Curves
113(4)
Spiral Geometry
113(3)
Intersecting a Line with a Spiral
116(1)
Computing Area Adjacent to a Spiral
117(1)
Radial Surveying
118(3)
Vertical Curves
121(3)
Three-Dimensional Models for Spatial Data
124(4)
Volume of a Rectangular Solid
124(1)
Volume of a Sphere
124(1)
Volume of Cone
125(1)
Prismoidal Formula
126(2)
Traditional 3-D Spatial Data Models
128(1)
The 3-D GSDM
128(1)
References
129(2)
Chapter 6 Overview of Geodesy 131(16)
Introduction: Science and Art
131(1)
Fields of Geodesy
131(1)
Goals of Geodesy
132(5)
Historical Perspective
137(6)
Religion, Science, and Geodesy
138(1)
Degree Measurement
139(1)
Eratosthenes
139(1)
Poseidonius
140(1)
Caliph Abdullah al Mamun
140(1)
Gerardus Mercator
140(1)
Willebrord Snellius
141(1)
Jean Picard
141(1)
Isaac Newton
141(1)
Jean-Dominique and Jacques Cassini
142(1)
French Academy of Science
142(1)
Meter
143(1)
Developments during the Nineteenth and Twentieth Centuries
143(2)
Forecast for the Twenty-First Century
145(1)
References
146(1)
Chapter 7 Geometrical Geodesy 147(48)
Introduction
147(2)
The Two-Dimensional Ellipse
149(5)
The Three-Dimensional Ellipsoid
154(1)
Ellipsoid Radii of Curvature
154(1)
Normal Section Radius of Curvature
155(1)
Geometrical Mean Radius
155(1)
Rotational Ellipsoid
155(2)
Equation of Ellipsoid
155(1)
Geocentric and Geodetic Coordinates
156(1)
BK1 Transformation
157(1)
BK2 Transformation
158(11)
Iteration
158(1)
Noniterative (Vincenty) Method
159(1)
Example of BK1 Transformation
160(1)
Example of BK2 Transformation-Iteration
161(1)
Example of BK2 Transformation-Vincenty's Method (Same Point)
162(1)
Meridian Arc Length
163(3)
Length of a Parallel
166(1)
Surface Area of Sphere
166(1)
Ellipsoid Surface Area
167(2)
The Geodetic Line
169(6)
Description
169(1)
Clairaut's Constant
170(2)
Geodetic Azimuths
172(2)
Target Height Correction
174(1)
Geodesic Correction
175(1)
Geodetic Position Computation-Forward and Inverse
175(18)
Puissant Forward (BK18)
176(1)
Puissant Inverse (BK19)
177(1)
Numerical Integration
178(1)
BK18: Forward
178(3)
BK19: Inverse
181(4)
Geodetic Position Computations Using State Plane Coordinates
185(1)
GSDM 3-D Geodetic Position Computations
186(1)
Forward-B K3
186(1)
Inverse-B K4
187(1)
GSDM Inverse Example: New Orleans to Chicago
188(5)
References
193(2)
Chapter 8 Geodetic Datums 195(18)
Introduction
195(1)
Horizontal Datums
196(9)
Brief History
196(2)
North American Datum of 1927 (NAD 27)
198(1)
North American Datum of 1983 (NAD 83)
198(1)
World Geodetic System 1984
199(1)
International Terrestrial Reference Frame
200(2)
High Accuracy Reference Network-HARN
202(2)
Continuously Operating Reference Station-CORS
204(1)
NA2011
205(1)
Vertical Datums
205(2)
Sea Level Datum of 1929 (now NGVD 29)
205(1)
International Great Lakes Datum
206(1)
North American Vertical Datum of 1988-NAVD 88
206(1)
Datum Transformations
207(2)
NAD 27 to NAD 83 (1986)
208(1)
NAD 83 (1986) to HPGN
208(1)
NAD 83 (xxxx) to NAD 83 (yyyy)
208(1)
NGVD 29 to NAVD 88
208(1)
HTDP
208(1)
Software Sources
208(1)
7-(14-) Parameter Transformation
209(1)
3-D Datums
209(1)
References
210(3)
Chapter 9 Physical Geodesy 213(24)
Introduction
213(1)
Gravity
214(1)
Definitions
215(3)
Elevation (Generic)
216(1)
Equipotential Surface
216(1)
Level Surface
216(1)
Geoid
216(1)
Geopotential Number
217(1)
Dynamic Height
217(1)
Orthometric Height
217(1)
Ellipsoid Height
217(1)
Geoid Height
217(1)
Gravity and the Shape of the Geoid
218(1)
Laplace Correction
219(2)
Measurements and Computations
221(4)
Interpolation and Extrapolation
221(1)
Gravity
222(1)
Tide Readings
223(1)
Differential Levels
223(1)
Ellipsoid Heights
224(1)
Time
225(1)
Use of Ellipsoid Heights in Place of Orthometric Heights
225(2)
The Need for Geoid Modeling
227(4)
Geoid Modeling and the GSDM
231(1)
Using a Geoid Model
232(2)
References
234(3)
Chapter 10 Satellite Geodesy and Global Navigation Satellite Systems 237(30)
Introduction
237(3)
Brief History of Satellite Positioning
240(4)
Modes of Positioning
244(3)
Elapsed Time
244(1)
Doppler Shift
244(2)
Interferometry
246(1)
Satellite Signals
247(4)
C/A Code
249(1)
Carrier Phase
250(1)
Differencing
251(1)
Single Differencing
252(1)
Double Differencing
252(1)
Triple Differencing
252(1)
RINEX
252(1)
Processing GNSS Data
253(9)
Spatial Data Types
254(1)
Autonomous Processing
255(1)
Vector Processing
256(1)
Multiple Vectors
257(2)
Traditional Networks
259(1)
Advanced Processing
259(3)
The Future of Survey Control Networks-Has It Arrived?
262(3)
References
265(2)
Chapter 11 Map Projections and State Plane Coordinates 267(38)
Introduction: Round Earth-Flat Map
267(1)
Projection Criteria
268(2)
Projection Figures
270(3)
Permissible Distortion and Area Covered
273(1)
U.S. State Plane Coordinate System (SPCS)
274(7)
History
275(1)
Features
275(2)
NAD 27 and NAD 83
277(2)
Current Status-NAD 83 SPCS
279(2)
Advantages
280(1)
Disadvantages
280(1)
Procedures
281(4)
Grid Azimuth
281(1)
Grid Distance
281(3)
Traverses
284(1)
Loop Traverse
285(1)
Point-to-Point Traverse
285(1)
Algorithms for Traditional Map Projections
285(17)
Lambert Conformal Conic Projection
286(3)
BK10 Transformation for Lambert Conformal Conic Projection
288(1)
BK11 Transformation for Lambert Conformal Conic Projection
288(1)
Transverse Mercator Projection
289(8)
BK10 Transformation for Transverse Mercator Projection
292(2)
BK11 Transformation for Transverse Mercator Projection
294(3)
Oblique Mercator Projection
297(12)
BK10 Transformation for Oblique Mercator Projection
299(1)
BK11 Transformation for Oblique Mercator Projection
300(2)
Low-Distortion Projection
302(1)
References
302(3)
Chapter 12 Spatial Data Accuracy 305(24)
Introduction
305(1)
Forces Driving Change
305(1)
Transition
306(2)
Consequences
308(1)
Accuracy
309(6)
Introduction
309(2)
Definitions
311(1)
Absolute and Relative Quantities
311(2)
Spatial Data Types and Their Accuracy
313(2)
Accuracy Statements
313(1)
But Everything Moves
313(2)
Observations, Measurements, and Error Propagation
315(4)
Finding the Uncertainty of Spatial Data Elements
315(2)
Using Points Stored in a X/Y/Z Database
317(2)
Example
319(9)
Control Values and Observed Vectors
320(1)
Blunder Checks
321(1)
Least Squares Solution
322(1)
Results
323(1)
Network Accuracy and Local Accuracy
323(5)
References
328(1)
Chapter 13 Using the GSDM to Compute a Linear Least Squares GNSS Network 329(36)
Introduction
329(1)
Parameters and Linearization
329(1)
Baselines and Vectors
330(1)
Observations and Measurements
330(1)
Covariance Matrices and Weight Matrices
331(1)
Two Equivalent Adjustment Methods
332(1)
Formulations of Matrices-Indirect Observations
333(3)
Example GNSS Network Project in Wisconsin
336(2)
RINEX Data Used to Build the Wisconsin Network
338(1)
Blunder Checks
338(3)
Building Matrices for a Linear Least Squares Solution
341(4)
f Vector-n, 1
341(2)
B Matrix-n, u
343(1)
Q Matrix-n, n
343(2)
Computer Printouts
345(19)
Notes Pertaining to Adjustment
364(1)
References
364(1)
Chapter 14 Computing Network Accuracy and Local Accuracy Using the Global Spatial Data Model 365(14)
Introduction
365(1)
Background
366(1)
Summary of Pertinent Concepts
366(2)
Detailed Example Based on Wisconsin Network
368(8)
Conclusion
376(1)
References
376(3)
Chapter 15 Using the GSDM-Projects and Applications 379(68)
Introduction
379(2)
Features
381(3)
The Functional Model
381(1)
The Stochastic Model
381(3)
Database Issues
384(1)
Implementation Issues
385(2)
Examples and Applications
387(56)
Example 1: Supplemental NMSU Campus Control Network
387(13)
Example 2: Hypothesis Testing
400(1)
Example 3: Using Terrestrial Observations in the GSDM
401(6)
Example 4: Using the GSDM to Develop a 2-D Survey Plat
407(3)
Example 5: New Mexico Initial Point and Principal Meridian
410(7)
Example 6: State Boundary between Texas and New Mexico along the Rio Grande River
417(10)
Example 7: in Wisconsin-Leveling in the Context of the GSDM (Example in Wisconsin)
427(1)
Example 8: Determining the NAVD 88 Elevation of HARN Station REILLY
427(5)
Example 9: Determining the Shadow Height at a Proposed NEXRAD Installation
432(2)
Example 10: Comparison of 3-D Computational Models
434(4)
Example 11: Underground Mapping
438(2)
Example 12: Laying Out a Parallel of Latitude Using the GSDM
440(3)
Analogous to Solar Method
441(1)
Analogous to Tangent-Offset Method
442(1)
The Future Will Be What We Make It
443(2)
References
445(2)
Appendix A: Rotation Matrix Derivation 447(4)
Appendix B: 1983 State Plane Coordinate Zone Constants 451(8)
Appendix C: 3-D Inverse with Statistics 459(2)
Appendix D: Development of the Global Spatial Data Model (GSDM) 461(4)
Appendix E: Evolution of Meaning for Terms: Network Accuracy and Local Accuracy 465(8)
Index 473
A native Virginian, Earl F. Burkholder grew up in Virginias Shenandoah Valley and graduated from Eastern Mennonite High School in 1964. He earned a BS in civil engineering from the University of Michigan, Ann Arbor, Michigan, in 1973 and an MS in civil engineering (Geodesy) in 1980. From 1980 to 1993, he taught upper division surveying classes at the Oregon Institute of Technology, Klamath Falls, Oregon. After five years of being self-employed, he taught in the Surveying Engineering program at New Mexico State University from 1998 to his retirement in 2010. His professional career began as a draftsman with Gould Engineering, Inc. of Flint, Michigan in 1968. Following graduating from University of Michigan, Ann Arbor, Michigan, he worked five years for Commonwealth Associates, Inc. of Jackson, Michigan, an international consulting firm for the utility industry. Assigned to the Transmission Line Engineering Division at Commonwealth, he was responsible for surveying related computations on projects in numerous states and was promoted to Survey Project Manager prior to leaving in 1978 to attend Purdue University. While teaching at Oregon Tech, he became editor of the ASCE Journal of Surveying Engineering and served two separate four-year terms; 19851989 and 19931998. He also became involved in ABET accreditation activities while at Oregon Tech and went on to serve on the Engineering Related Accreditation Commission (now known as the Applied Science Accreditation Commission) culminating as chair of the RAC in 2000/2001.

While self-employed, he completed three major projects for the Southeastern Wisconsin Regional Planning Commission (SEWRPC), Waukesha, Wisconsin. The first project was to develop a reliable bidirectional algorithm for transforming data between the NAD 27 datum being used by SEWRPC and the new NAD 83 datum published by the National Geodetic Survey (NGS). Upon successful completion of the horizontal transformation project, the next project was a similar assignment for the bidirectional transformation of data between the NGVD 29 datum (again being used by SEWRPC) and the new NAVD 88 datum published by NGS. Prior to beginning the horizontal transformation project, he suggested to Dr. Bauer, SEWRPC Executive Director, that the datum horizontal and vertical transformation challenges would be an excellent opportunity to combine the two databases into a single 3-D database. After a rather short deliberation, Dr. Bauer indicated that the 3-D proposal was untested, too radical, and not proven practical. However, upon completion of the first two projects, Dr. Bauer commissioned the preparation of a report outlining and defining how such an integrated model could be implemented. That report became the basis for the first edition of The 3-D Global Spatial Data Model: Foundation of the Spatial Data Infrastructure published by CRC Press in 2008.