Mathematical Techniques in GIS

ISBN: 9781466595545 出版年：2014 页码：350 Dale, Peter CRC Press

Characteristics of Geographic Information Geographic Information and Data Categories of Data Summary Numbers and Numerical Analysis The Rules of Arithmetic The Binary System Square Roots Indices and Logarithms Summary Algebra: Treating Numbers as Symbols The Theorem of Pythagoras The Equations for Intersecting Lines Points in Polygons The Equation for a Plane Further Algebraic Equations Functions and Graphs Interpolating Intermediate Values Summary The Geometry of Common Shapes Triangles and Circles Areas of Triangles Centers of a Triangle Polygons The Sphere and the Ellipse Sections of a Cone Summary Plane and Spherical Trigonometry Basic Trigonometric Functions Obtuse Angles Combined Angles Bearings and Distances Angles on a Sphere Summary Differential and Integral Calculus Differentiation Differentiating Trigonometric Functions Polynomial Functions Linearization Basic Integration Areas and Volumes Summary Matrices and Determinants Basic Matrix Operations Determinants Related Matrices Applying Matrices Rotations and Translations Simplifying Matrices Summary Vectors The Nature of Vectors Dot and Cross Products Vectors and Planes Angles of Incidence Vectors and Rotations Summary Curves and Surfaces Parametric Forms The Ellipse The Radius of Curvature Fitting Curves to Points The Bezier Curve B-Splines Summary 2D/3D Transformations Homogeneous Coordinates Rotating an Object Hidden Lines and Surfaces Photogrammetric Measurements Summary Map Projections Map Projections Cylindrical Projections Azimuthal Projections Conical Projections Summary Basic Statistics Probabilities Measures of Central Tendency The Normal Distribution Levels of Significance The T-Test Analysis of Variance The Chi-Squared Test The Poisson Distribution Summary Correlation and Regression Correlation Regression Weights Spatial Autocorrelation Summary Best-Fit Solutions Least Square Solutions Survey Adjustments Satellite Position Fixing Summary Further Reading Index