{
"term": "curvature vector ",
"termid": 2041,
"eng": {
"id": 2041,
"definition": "second derivative of a curve parameterized by arc length, at a point",
"language_code": "eng",
"notes": [
"If `c(s) = (x(s), y(s), z(s))` is a curve in a 3D Cartesian space (`bbb\"E\"^3`), and `s` is the arc length along `c(s)`, then the unit tangent vector is `dot c(s) = (dot x(s), dot y(s), dot z(s))`, i.e. the derivative of the coordinate values of `c` with respect to `s`. The curvature vector is `ddot c(s) = (ddot x(s), ddot y(s), ddot z(s))`. The curvature vector can be approximated by the inverse of the radius of a circle through any 3 nearby points on the curve (pointed from the curve to towards the centre of the circle)"
],
"examples": [
],
"entry_status": "valid",
"authoritative_source": {
"ref": "ISO 19107:2019",
"clause": "(E), 3.19",
"link": "https://www.iso.org/standard/66175.html"
},
"date_accepted": "2019-12-02 00:00:00 UTC",
"review_date": "2019-12-02 00:00:00 UTC",
"review_status": "final",
"review_decision": "accepted",
"review_decision_date": "2019-12-02 00:00:00 UTC",
"review_decision_event": "Normal ISO processing",
"review_decision_notes": "Publication of document ISO 19107:2019(E)",
"release": "5",
"terms": [
{
"type": "expression",
"designation": "curvature vector ",
"normative_status": "preferred"
}
],
"_revisions": {
"current": "16c628",
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"object": {
"id": 2041,
"definition": "second derivative of a curve parameterized by arc length, at a point",
"language_code": "eng",
"notes": [
"If `c(s) = (x(s), y(s), z(s))` is a curve in a 3D Cartesian space (`bbb\"E\"^3`), and `s` is the arc length along `c(s)`, then the unit tangent vector is `dot c(s) = (dot x(s), dot y(s), dot z(s))`, i.e. the derivative of the coordinate values of `c` with respect to `s`. The curvature vector is `ddot c(s) = (ddot x(s), ddot y(s), ddot z(s))`. The curvature vector can be approximated by the inverse of the radius of a circle through any 3 nearby points on the curve (pointed from the curve to towards the centre of the circle)"
],
"examples": [
],
"entry_status": "valid",
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"ref": "ISO 19107:2019",
"clause": "(E), 3.19",
"link": "https://www.iso.org/standard/66175.html"
},
"date_accepted": "2019-12-02 00:00:00 UTC",
"review_date": "2019-12-02 00:00:00 UTC",
"review_status": "final",
"review_decision": "accepted",
"review_decision_date": "2019-12-02 00:00:00 UTC",
"review_decision_event": "Normal ISO processing",
"review_decision_notes": "Publication of document ISO 19107:2019(E)",
"release": "5",
"terms": [
{
"type": "expression",
"designation": "curvature vector ",
"normative_status": "preferred"
}
]
},
"parents": [
],
"timeCreated": "2019-12-02 00:00:00 UTC",
"author": {
"name": "Glossarist bot",
"email": "glossarist@ribose.com"
}
}
}
}
},
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