ISO 19125-1:2004 地理情報—シンプルな機能へのアクセス—パート1：一般的なアーキテクチャ | ページ 6

4.1

boundary

set that represents the limit of an entity

Note 1 to entry: Boundary is most commonly used in the context of geometry ここで, the set is a collection of points or a collection of objects that represent those points. In other arenas, the term is used metaphorically to describe the transition between an entity and the rest of its domain of discourse.

[SOURCE:ISO 19107]

4.2

buffer

geometric object (4.14) that contains all direct positions (4.7) whose distance from a specified geometric object is less than or equal to a given distance

[SOURCE:ISO 19107]

4.3

coordinate

one of a sequence of n -numbers designating the position of a point (4.17) in n -dimensional space

Note 1 to entry: In a coordinate reference system, the numbers must be qualified by units.

[SOURCE:adapted from ISO 19111]

4.4

coordinate dimension

[SOURCE:ISO 19107]

number of measurements or axes needed to describe a position in a coordinate system (4.6)

4.5

coordinate reference system

coordinate system (4.6) that is related to the real world by a datum

[SOURCE:adapted from ISO 19111]

4.6

coordinate system

set of mathematical rules for specifying how coordinates (4.3) are to be assigned to point (4.17)

[SOURCE:ISO 19111]

4.7

curve

1-dimensional geometric primitive (4.15) , representing the continuous image of a line

Note 1 to entry: The boundary of a curve is the set of points at either end of the curve. If the curve is a cycle, the two ends are identical, and the curve (if topologically closed) is considered to not have a boundary. The first point is called the start point, and the last is the end point. Connectivity of the curve is guaranteed by the “continuous image of a line” clause. A topological theorem states that a continuous image of a connected set is connected.

[SOURCE:ISO 19107]

4.7

direct position

position described by a single set of coordinates (4.3) within a coordinate reference system (4.5)

[SOURCE:ISO 19107]

4.9

end point

last point (4.17) of a curve (4.7)

[SOURCE:ISO 19107]

4.10

exterior

difference between the universe and the closure

Note 1 to entry: The concept of exterior is applicable to both topological and geometric complexes.

[SOURCE:ISO 19107]

4.11

feature

abstraction of real world phenomena

Note 1 to entry: A feature may occur as a type or an instance. Feature type or feature instance is used when only one is meant.

[SOURCE:adapted from ISO 19101]

4.12

feature attribute

characteristic of a feature (4.11)

Note 1 to entry: A feature attribute has a name, a data type, and a value domain associated to it. A feature attribute for a feature instance also has an attribute value taken from the value domain.

[SOURCE:adapted from ISO 19101]

4.13

geometric complex

set of disjoint geometric primitives (4.15) where the boundary (4.1) of each geometric primitive can be represented as the union of other geometric primitives of smaller dimension within the same set

set of disjoint geometric primitives (4.15) where the boundary (4.1) of each geometric primitive can be represented as the union of other geometric primitives of smaller dimension within the same set

Note 1 to entry: The geometric primitives in the set are disjoint in the sense that no direct position is interior to more than one geometric primitive. The set is closed under boundary operations, meaning that for each element in the geometric complex, there is a collection (also a geometric complex) of geometric primitives that represents the boundary of that element. Recall that the boundary of a point (the only 0D primitive object type in geometry) is empty. Thus, if the largest dimension geometric primitive is a solid (3D), the composition of the boundary operator in this definition terminates after at most 3 steps. It is also the case that the boundary of any object is a cycle.

[SOURCE:ISO 19107]

4.14

geometric object

spatial object representing a geometric set

Note 1 to entry: A geometric object consists of a geometric primitive, a collection of geometric primitives, or a geometric complex treated as a single entity. A geometric object may be the spatial representation of an object such as a feature or a significant part of a feature.

[SOURCE:ISO 19107]

4.15

geometric primitive

geometric object (4.14) representing a single, connected, homogeneous element of space

Note 1 to entry: Geometric primitives are non-decomposed objects that represent information about geometric configuration. They include points, curves, surfaces, and solids.

[SOURCE:ISO 19107]

4.16

interior

set of all direct positions (4.7) that are on a geometric object (4.14) but which are not on its boundary (4.1)

Note 1 to entry: The interior of a topological object is the homomorphic image of the interior of any of its geometric realizations. This is not included as a definition because it follows from a theorem of topology.

[SOURCE:ISO 19107]

4.17

point

0-dimensional geometric primitive (4.15) , representing a position

Note 1 to entry: The boundary of a point is the empty set.

[SOURCE:ISO 19107]

4.18

simple feature

feature (4.11) restricted to 2D geometry with linear interpolation between vertices, having both spatial and non spatial attributes

4.19

start point

first point (4.17) of a curve (4.7)

[SOURCE:ISO 19107]

4.20

surface

2-dimensional geometric primitive (4.15) , locally representing a continuous image of a region of a plane

Note 1 to entry: The boundary of a surface is the set of oriented, closed curves that delineate the limits of the surface.

[SOURCE:adapted from ISO 19107]