chapter 9 accuracy assessment in remotely sensed categorical information...

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Chapter 9 Accuracy assessment in remotely sensed categorical information 遥遥遥遥遥遥遥遥遥遥 Jingxiong ZHANG 遥遥遥

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Chapter 9

Accuracy assessment in remotely sensed categorical information

遥感类别信息精度评估

Jingxiong ZHANG

张景雄

Chapter 9

Accuracy assessment in remotely sensed categorical information

遥感类别信息精度评估

Jingxiong ZHANG

张景雄

• Thematic mapping based on mage classification

1) use spectral (radiometric) differences to distinguish spatial classes

2) supervised / unsupervised mode• Change detection

1) binary maps of change or no-change

2) categorized change

A quick review of Chapters 7 & 8

(a) (b)

(c) (d)

Figure 1. Simulation: studies: (a) and (b) mean areal-class maps, for time 1 and time 2; (c) and (d) distorted

versions for (a) and (b), respectively.

We will discuss

• Why ?• What ?• How ?

for accuracy assessment

• Key points:

to construct confusion matrix (混淆矩阵 )

to compute accuracy measures

• Difficult points:

Statistics for sampling design and

spatial analysis

Why do we bother accuracy assessment?

• Thematic maps of land cover, forest types, and others can be derived from classification of remotely sensed imagery in combination with ancillary data sets

• You need to tell map users how well it actually represents what’s out there

• “Without an accuracy assessment, a classified map is just a pretty picture.”

What is accuracy assessment?

• Assess how well a classifier works

• Interpret the usefulness of someone else’s classification

How do we do accuracy assessment?

• Collect reference data, i.e., “ground truth”

determining class types at specific locations• Compare a map with the reference to

compute accuracy measures• Interpretation of the results

Reference Data - possible sources

• Aerial photo interpretation• Ground truthing with GPS• GIS layers

• Make sure we can actually extract from the reference source the information needed

• For discriminating four species of grass, we may need ground surveys not aerial photographs

Determining size of reference plots

• Match spatial scale of reference plots and remotely-sensed data

• Ground plots (5 meters on a side) may not be useful for remotely-sensed imagery (1km)

may need aerial photos or even other satellite imagery.

• Take into account spatial frequencies of image

consider photo reference plots that cover an area 3 pixels on a side

Example 1: Low spatial frequency Homogeneous

Example 2: High spatial frequency Heterogeneous

• Implication for positional accuracy

consider the situation where accuracy of position of the image is +/- one pixel

Example 1: Low spatial frequency

Example 2: High spatial frequency

Determining number and position of samples

• Make sure to adequately sample the landscape• Variety of sampling schemes:

Random, stratified random, systematic, etc. • The more reference plots, the better

You can estimate how many you need statistically

In reality, you can never get enough

Lillesand and Kiefer: suggest 50 per class as rule of thumb

}{ dPpprob

n

PP

N

nNttd p

)1(

1

2

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)1(

d

pptn

Sample size (please see the references)

n << N p = 0.5

Sampling Methods

:

Stratified Random Sampling

a minimum number of observations are randomly placed in each stratum.

observations are randomly placed.

Simple Random Sampling

Sampling Methods

Systematic Sampling:Observations are placed at equal intervals according to a strategy

Systematic Non-Aligned Sampling a grid provides even distribution ofrandomly placed observations

Sampling Methods

Cluster Sampling

Randomly placed “centroids”used as a base of several nearby Observations, which can be Selected randomly or systematically

Accuracy assessment

• Collect reference data, i.e., “ground truth”

determining class types at specific locations

• Compare a map with the reference to compute accuracy measures

• Interpretation of the results

• Compare (through sample locations):

class type on classified map =

class type determined from reference ?

• Summarize (cross-tabulation) into an confusion matrix

• Compute accuracy measures:

overall classification accuracy (percent correctly classified pixels, PCC)

producer’s / user’s accuracy

kappa coefficient of agreement (KHAT)

An example confusion matrix (混淆矩阵 )

Class types determined from referencereference

User’s AccuracyClass types

determined from

classified map

# Plots Conifer deciduous grass Totals

Conifer 50 5 2 57 88%deciduous 14 13 0 27 48%grass 3 5 8 16 50%Totals 67 23 10 100

Producer’s Accuracy 75% 57% 80% Total (PCC): 71%

Kappa coefficient of agreement

• Kappa of 0.463 means there is 46.3% better agreement than by chance alone

(0.71 - 0.46) / (1 - 0.46) = 0.463• Chance agreement =

[Product of row and column marginals for each class]

0.46 for the example

agreement chance - 1

agreement chance -accuracy observedˆ K

Accuracy assessment

• Collect reference data, i.e., “ground truth”

determining class types at specific locations• Compare reference to classified map

class type on classified map = class type determined from reference ?

• Interpretation of the results

Interpreting results of accuracy assessment

• Misclassification in remotely-sensed data:Classes are land use, not land coverClasses not spectrally separableSpatial scale of remote sensing instrument does

not match classification scheme• Error in reference data:

Interpreter errorSubjectivity

Improving Classification• Land use/land cover: incorporate other data

Elevation, temperature, ownership, etc.Context

• Spectral inseparabilityHyperspectralMultiple dates

• ScaleDifferent sensorAggregate pixels

• ClassifiersUse HIERARCHICAL CLASSIFICATION schemeIn Maximum Likelihood classification, use Prior

Probabilities to weigh minority classes more

Summary

• Accuracy assessment to add value to remote sensing information products and to ensure their proper use

• Ground truth is itself difficult to acquire due to the non-trivial task of class definition

• Sampling design is important for cost-effectiveness in accuracy assessment

• Accuracy assessment as an integral component in the information process

References• Cochran, W.G. 1977.  Sampling techniques.  Wiley, New

York.

• Congalton, R. 1991.  A review of assessing the accuracy of classifications of remotely sensed data.  Remote Sensing of Environment 37:35-46.

• Nusser, S.M., and E.E. Klaas.  2002.  Final performance report to EPA Region 7, Part II:  GAP accuracy assessment pilot study.  Environmental Protection Agency Contract X997387-01 Final Report.  Iowa Cooperative Fish and Wildlife Research Unit, Iowa State University, Ames, Iowa.  77 pp.

• Stehman, S.V. 1997.  Selecting and interpreting measures of thematic classification accuracy.  Remote Sensing of Environment 62:77-89.

Questions:

1. The challenges of accuracy assessment in change detection include obtaining reference for:

images taken in the pastsampling sufficiently the areas that will change in the future

Why is this?

2. Compute accuracy measures from the hypothetical example error matrix.