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Planar coordinate transformation (2D to 2D) 3) Curvilinear transformation

Lecture 09: Coordinate Transformation II. Topics:. Planar coordinate transformation (2D to 2D) 3) Curvilinear transformation 4) Statistical transformation 5) Geocoding (address matching). References:. Chapter 1 & 2 in Maling’s (1992), pp. 1-46

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Planar coordinate transformation (2D to 2D) 3) Curvilinear transformation

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  1. Lecture 09: Coordinate Transformation II Topics: Planar coordinate transformation (2D to 2D) 3) Curvilinear transformation 4) Statistical transformation 5) Geocoding (address matching) References: Chapter 1 & 2 in Maling’s (1992), pp. 1-46 Chapter 5 in Maling’s (1992), pp. 80-99 Maling, D.H. “Coordinate Systems and Map Projections For GIS” In Mqguire, Goodchild, and Rhind Goodchild, M.F., 1984. “Geocoding and Geosampling,” In Gaile and Willmott. Chapter 6 in Noble and Daniel (Applied Linear Algebra, 1977), pp. 177-212

  2. Outlines 3. Planar map transformation (2D to 2D): 3.1 Simple Affine Transformations 3.2 Complex Affine Transformation 3.3 Curvilinear transformations 3.3.1 Forms: 3.3.2 Applications: 3.4 Statistical Transformation: 3.4.1 Statistical Affine Transformation 1) Basic Assumption: relationship is linear and complex affine can model it 2) Statistical approach (The Statistical Approach PDF)

  3. 3. Planar map transformation (2D to 2D): 3.4 Statistical Transformation: (continued…) 3.4.1 Statistical Affine Transformation (continued…) 3) Measure of transformation errors a) For each point: In the U (X) direction In the V (Y) direction Total for the point b) RMSE for all points In the U (X) direction In the Y (Y) direction Total for the point 4) Example (The Statistical Affine Transformation Spreadsheet)

  4. 3. Planar map transformation (2D to 2D): 3.4 Statistical Transformation: (continued…) 3.4.2 Other forms of statistical transformations 3.4.3 Revisiting selection of control points (1) Number of control points: (2) Spatial Distribution of control points (3) Identifiable and stable locations (4) Final determination of control points 3.5 Geocoding (Address Matching)

  5. Questions • In which way is statistical affine transformation advantageous • over complex affine transformation? • 2. What is the basic assumption under the statistical affine • transformation? What do you need to make it statistical? • 3. How are the errors about a transformation is reported? • 4. What does it mean to be statistical? • 5. In light of statistical affine transformation, discuss the three • criteria used for selecting control points.

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