A two-dimensional interpolation function for irregularly-spaced data

This is a peer reviewed publication looking at methods of data interpretation relevant to geochemical datasets. in many fields using empirical areal data there arises a need for interpolating from irregularly-spaced data to produce a continuous surface. These irregularly spaced locations, hence referred to as "data points," may have diverse meanings: in meterology, weather observation stations; in geography, surveyed locations; in city and regional planning, centers of data-collection zones; in biology, observation locations. It is assumed that a unique number (such as rainfall in meteorology, or altitude in geography) is associated with each data point. In order to display these data in some type of contour map or perspective view, to compare them with data for the same region based on other data points, or to analyze them for extremes, gradients, or other purposes, it is extremely useful, if not essential, to define a continuous function fitting the given values exactly. Interpolated values over a fine grid may then be evaluated. In using such a function it is assumed that the original data are without error, or that compensation for error will be made after interpolation. In essence, an operational solution to the problem of two-dimensional interpolation from irregularly-spaced data points is desired. It is assumed that a finite number N of triplets (xi, Yi, gi) are given, where xi, Yi are the locational coordinates of the data point D;, and zi is the corresponding data value. Data point locations may not be coincident. An interpolation function z=f(x,y) to assign a value to any location P(x,y) in the plane is sought. This two-dimensional interpolation function is to be "smooth" (continuous and once differentiable), to pass through the specified points, (i.e., f(xi,Yi)=Zi), and to meet the user's intuitive expectations about the phenomenon under investigation. Furthermore, the function should be suitable for computer application at reasonable cost



Website:

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.154.6880&rep=rep1&type=pdf

Simple

Date (Creation)
1968-01-01
Date (Publication)
1968-01-01
Date (Revision)
Citation identifier
https://www.mica-project.eu/ / MICA_B2-98

MICA WP3 2017-09-25T10:33:00 Record extracted from Batch 2 spreadsheet

Other citation details

No additional information provided about the dataset
Purpose

Purpose for data generation is not known
Status
Completed
Point of contact
Organisation name Individual name Electronic mail address Role

Harvard University

 		Resource provider
Maintenance and update frequency
Not planned
dataCentre

  • MICA

MICA ontology (TemporalScheme)

  • Historic (includes data up to or including 2005)

MICA ontology (DataScheme)

  • General descriptive information / Paper
Keywords

  • Requirement for data generation: Voluntary
Keywords

  • Method of data or information generation: Academic research

GEMET Concepts

  • Exploration

GEMET Concepts

  • Geochemical

MICA ontology (DomainScheme)

  • Detailed geochemistry

MICA ontology (DomainScheme)

  • Geostatistical estimates

MICA ontology (DomainScheme)

  • Regional geochemistry
Access constraints
Other restrictions
Use constraints
Other restrictions
Language
English
Topic category
  • Geoscientific information
  • Economy
Description

Geographical coverage not applicable
Geographic identifier
Other group of countries (please provide more details)
Hierarchy level
Non geographic dataset
Other

Individual item (e.g. a one-off academic paper or single website)

Conformance result

Title

Data uncertainty
Date
Explanation

Are any uncertainty measures provided (e.g. standard errors, confidence intervals, etc.)?
Pass
Yes

Conformance result

Title

Quality assurance procedures
Date
Explanation

Are quality assurance procedures described?
Pass
Yes

Conformance result

Title

Information generation methods
Date
Explanation

Are data or information generation methods formally described?
Pass
Yes

Conformance result

Title

Record review
Date
Other citation details

Reviewed by: British Geological Survey
Explanation

Record validation
Pass
No

Conformance result

Title
Commission Regulation (EU) No 1089/2010 of 23 November 2010 implementing Directive 2007/2/EC of the European Parliament and of the Council as regards interoperability of spatial data sets and services
Date (Publication)
2010-12-08
Statement

Organisation source implies that information should be of good quality

Metadata

File identifier
f56eb439-5bd9-4111-990b-820a94ad9092 XML
Metadata language
English
Character set
MD_CharacterSetCode_utf8
Hierarchy level
Non geographic dataset
Date stamp
2024-11-07
Metadata standard name

ISO19115
Metadata standard version

2003/Cor.1:2006
Metadata author
Organisation name Individual name Electronic mail address Role

British Geological Survey

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Overviews

overview

Keywords

MICA


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