List of Figures

1-1 Geometric Types

1-2 Query Model

1-3 MBR Enclosing a Geometry

1-4 R-Tree Hierarchical Index on MBRs

1-5 The Nine-Intersection Model

1-6 Topological Relationships

1-7 Distance Buffers for Points, Lines, and Polygons

1-8 Tolerance in an Aggregate Union Operation

2-1 Areas of Interest for the Simple Example

2-2 Rectangle

2-3 Polygon with a Hole

2-4 Compound Line String

2-5 Compound Polygon

2-6 Point-Only Geometry

2-7 Geometry with Type 0 (Zero) Element

4-1 Geometries with MBRs

4-2 Layer with a Query Window

7-1 Geometric Segment

7-2 Describing a Point Along a Segment with a Measure and an Offset

7-3 Measures, Distances, and Their Mapping Relationship

7-4 Measure Populating of a Geometric Segment

7-5 Measure Populating with Disproportional Assigned Measures

7-6 Linear Feature, Geometric Segments, and LRS Points

7-7 Creating a Geometric Segment

7-8 Defining a Geometric Segment

7-9 Redefining a Geometric Segment

7-10 Clipping, Splitting, and Concatenating Geometric Segments

7-11 Measure Assignment in Geometric Segment Operations

7-12 Segment Direction with Concatenation

7-13 Scaling a Geometric Segment

7-14 Offsetting a Geometric Segment

7-15 Locating a Point Along a Segment with a Measure and an Offset

7-16 Ambiguity in Location Referencing with Offsets

7-17 Multiple Projection Points

7-18 Conversion from Standard to LRS Line String

7-19 Segment for Clip Operation Affected by Tolerance

7-20 Simplified LRS Example: Highway

8-1 Spatial Mining and Oracle Data Mining

13-1 Arc Tolerance

13-2 SDO_GEOM.SDO_DIFFERENCE

13-3 SDO_GEOM.SDO_INTERSECTION

13-4 SDO_GEOM.SDO_UNION

13-5 SDO_GEOM.SDO_XOR

16-1 Translating a Geometric Segment

19-1 Simplification of a Geometry