ISO 16610-85:2013 幾何学的製品仕様（GPS）—ろ過—パート85：形態学的面積フィルター：セグメンテーション | ページ 6

3.1.1

ピーク

その点の近傍内にある他のすべての点よりも高い、表面上の点

注記 1:離散データの場合、表面の三角形化が必要です。

注記 2: 理論的にはプラトーの可能性があります。実際には、これは微小な傾斜を使用することで回避できます。

注記 3:特定の実装については、ISO 25178‑3 を参照。

[出典: ISO 25178‑2:2012, 3.3.1]

3.1.1.1

マクスウェリアン・ヒル

すべての最大上向きパスがピークで終わるような、ピークの周囲の領域

注記 1: ISO 25178‑2:2012, 3.3.1.1 では、この定義に対応する用語は「丘」でした。

3.1.1.2

コースライン

隣接する丘を区切る曲線

[出典: 出典: ISO 25178‑2:2012, 3.3.1.2]

3.1.1.3

丘

境界がコースラインのリングで構成される単一の主要なピークの周囲の領域

注記 1:丘には他にも峰があるかもしれませんが、それらはすべて主要な峰に比べれば取るに足らないものです。

3.1.2

ピット

その点の近傍内の他のすべての点よりも低い表面上の点

注記 1:離散データの場合、表面の三角形化が必要です。

注記 2: 理論的にはプラトーの可能性があります。実際には、これは微小な傾斜を使用することで回避できます。

注記 3:特定の実装については、ISO 25178‑3 を参照。

[出典: ISO 25178‑2:2012, 3.3.2]

3.1.2.1

マクスウェリアン・デイル

すべての最大の下降経路がピットで終わるような、ピットの周囲の領域

注記 1: ISO 25178‑2:2012, 3.3.1.1 では、この定義に対応する用語は「dale」でした。

3.1.2.2

稜線

隣接する谷間を区切る曲線

[出典: 出典: ISO 25178‑2:2012, 3.3.2.2]

3.1.2.3

デール

境界が稜線のリングで構成されている単一の主要なピットの周囲の領域

注記 1: 谷には他にも穴があるかもしれませんが、それらはすべて主要な穴に比べれば取るに足らないものです。

注記 2:モチーフはデイルです。ISO 12085:1996 を参照してください。

3.1.3

サドル

稜線とコースラインが交差するサーフェスwhere の点の集合

[出典:出典: ISO 25178‑2:2012, 3.3.3, 修正 — ISO 25178‑2:2012 の定義には「縮尺が制限された稜線」が含まれていました。

3.1.3.1

サドルポイント

ワンポイント構成のサドル

[出典: 出典: ISO 25178‑2:2012, 3.3.3.1]

3.1.4

地形

サーフェス上のエリア、ライン、またはポイント フィーチャ

[出典:出典: ISO 25178‑2:2012, 3.3.4, 修正 — ISO 25178‑2:2012 の定義には「スケール制限された表面」が含まれていました。

3.1.4.1

エリア特徴

丘または谷

[出典: 出典: ISO 25178‑2:2012, 3.3.4.1]

3.1.4.2

ラインフィーチャー

コースラインまたは稜線

[出典: 出典: ISO 25178‑2:2012, 3.3.4.2]

3.1.4.3

ポイント機能

ピーク、ピット、または鞍点

[出典: 出典: ISO 25178‑2:2012, 3.3.4.3]

3.1.5

等高線

同じ高さの点からなる表面上の線

[出典: 出典: ISO 25178‑2:2012, 3.3.5]

3.2.1

segmentation

method which partitions a surface into distinct regions

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.6, modified — ISO 25178‑2:2012 had “scale-limited surface” in the definition.]

3.2.1.1

event

mutually exclusive surface portions whose union covers the whole surface

3.2.1.2

watershed segmentation

segmentation which uses the concept of filling dales (hills) with water to determine the saddle at which the water first overflows and the adjacent dale (hill) into which it overflows

3.2.2

segmentation function

function which splits a set of events into two distinct sets called the significant events and the insignificant events and which satisfies the three segmentation properties

Note 1 to entry: A full mathematical description of the segmentation function and the three segmentation properties can be found in Scott (2004).^[8]

[SOURCE: ISO 25178‑2:2012, 3.3.6.1, modified — Notes 1 and 3 have not been included here.]

3.2.3

first segmentation property

P1

property where each event is allocated to the set of significant events or the set of insignificant events but not both

where

	E	is the set of all events;
		maps events onto the set of significant events;
		maps events onto the set of insignificant events.

SEE: Figure 1.

Figure 1 — Venn diagram of first segmentation property

[SOURCE: ISO 25178‑2:2012, 3.3.6.2]

3.2.4

second segmentation property

P2

property where a significant event is removed from the set of events then the remaining significant events are contained in the new set of significant events

where

	E	is the set of all events;
		maps events onto the set of significant events;
		maps events onto the set of insignificant events.

SEE: Figure 2.

Figure 2 — Venn diagram of second segmentation property

[SOURCE: ISO 25178‑2:2012, 3.3.6.3]

3.2.5

third segmentation property

P3

property where an insignificant event is removed from the set of events then the same set of significant events is obtained

where

	E	is the set of all events;
		maps events onto the set of significant events;
		maps events onto the set of insignificant events.

SEE: Figure 3.

Figure 3 — Venn diagram of third segmentation property

[SOURCE: ISO 25178‑2:2012, 3.3.6.4]

3.3.1

change tree

graph where each contour line is plotted as a point against height in such a way that adjacent contour lines are adjacent points on the graph

Note 1 to entry: Peaks and pits are represented on a change tree by the end of lines. Saddle points are represented on a change tree by lines joining. See Clause 4 for more details concerning change trees.

[SOURCE: ISO 25178‑2:2012, 3.3.7, modified — The reference in the note has been changed to Clause 4.]

3.3.2

pruning

method to simplify a change tree in which lines from peaks (or pits) to their nearest connected saddle points are removed

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.7.1]

3.3.3

height

signed normal distance from the reference surface to the surface

Note 1 to entry: The distance is defined normal to the reference surface.

Note 2 to entry: The height is negative, if from the reference surface, the point lies in the direction of the material.

3.3.4

saddle height

height of the saddle

3.3.5

peak height

height of the peak

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.10]

3.3.5.1

local peak height

difference between the height of a peak and the height of the nearest connected saddle on the change tree

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.7.2]

3.3.6

pit height

height of the pit

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.11]

3.3.6.1

local pit height

difference between the height of a pit and the height of the nearest connected saddle on the change tree

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.7.3]

3.3.7

Wolf pruning

pruning where lines are removed in order from the peak/pit with the smallest local peak/pit height up to the peak/pit with a specified local peak/pit height

Note 1 to entry: The local peak/pit heights will change during Wolf pruning as removing lines from a change tree will also remove the associated saddle point.

Note 2 to entry: Other criteria for pruning are not covered in this part of ISO 16610. See References [9] and [10] for examples.

[SOURCE: ISO 25178‑2:2012, 3.3.7.4, modified — Note 2 to entry has been added.]

3.3.7.1

Wolf peak height

minimum height threshold at which a peak is pruned using Wolf pruning

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.8, modified — The word “height” has been added in the definition.]

3.3.7.2

Wolf pit height

minimum height threshold at which a pit is pruned using Wolf pruning

[SOURCE:SOURCE: ISO 25178‑2:2012, 3.3.9, modified — The word “height” has been added in the definition.]

3.3.8

height discrimination

minimum Wolf peak height or Wolf pit height of the surface which should be taken into account

Note 1 to entry: Height discrimination is a nesting index for Wolf pruning segmentation.

[SOURCE: ISO 25178‑2:2012, 3.3.12, modified — ISO 25178‑2:2012 had “scale-limited surface” in the definition. Note 1 to entry is different.]

3.3.9

virtual pit

imaginary pit, that has a minus infinity pit height, to which all edge points are connected

3.3.10

virtual pit condition

condition where a virtual pit is assumed