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    Title : Automatic method used for geometric

    correction for SAR

    Abstract

    Radar imagery has become one of the mostimportant data sources and efficient tools for

    terrain analysisand natural resource surveys

    since 1960s. With the development of

    technology in the field of radar remote

    sensing, new generation of radar sensors, i.e.,

    Synthetic Aperture Radar (SAR) was born.

    Unique specifications of radar systems and

    images versus optical ones led to a whole new

    series of applications for radar imageries all

    over the world. However, the level ofachievable accuracy from radar imageries is

    still a problem for their applications.

    Multiplicative noise such as speckle which is

    unavoidable part of coherent radar images,

    degrade radiometric quality and

    interpretability. Moreover, geometric

    distortions such as foreshortening, layover,

    shadow and other problems related to special

    imaging geometry of radar systems, decrease

    reliability of radar imageries. Thus,

    radiometric and geometric corrections and

    calibrations must be applied to the radar

    images before using them.

    Introduction

    Radar remote sensing, like optical remote

    sensing, is used to produce the image of

    Earths surface. A radar image is a record of

    the interaction of energy and objects at the

    Earths surface. Its appearance is dependent

    on variables such as geometric shape, surface

    roughness and moisture content of the target

    object, as well as the sensor-target geometry

    and the transmission direction (look direction)

    of the radar sensor. There are significant

    differences, however, between how a radar

    image is formed and what is represented in

    that image compared to optical remote

    sensing imagery [3]. In compare to optical

    remote sensing, radar imaging has some

    advantages. First, as an active system, it is a

    day/night data acquisition system. Second,

    considering the behavior of electromagnetic

    waves in the range of RADAR wavelength, it

    can be seen that atmospheric characteristics

    such as cloud, light rain, haze, and smoke has

    little effect on the capability of RADAR data

    acquisition system. This makes RADAR as an

    allweather remote sensing system. Last but

    not least, as the RADAR signals partially

    penetrate into soil and vegetation canopy, in

    addition to surface information, it can provide

    subsurface information too. The returned

    signal (backscatter) from ground objects(targets) is primarily influenced by the

    characteristics of the radar signal, the

    geometry of the radar relative to the Earths

    surface, the local geometry between the radar

    signal and its target, and the characteristics of

    the target.

    Content

    Radar systems are side-looking distance

    measuring systems, thus key geometric

    parameters are the incident angle, local

    incident angle and look direction. The side-

    looking geometry of radar results in several

    geometric distortions, such as slant range

    scale distortions and relief distortions.

    Geometric corrections include slant to ground

    range, registration, and local incident angle

    corrections (if topographic information is

    available). Generally speaking, geometriccorrection algorithms are classified into three

    methods:

    Slant to ground method Polynomial method (best fit

    approximations)

    Radargrammetric method (knownsensor geometry)

    Ground Control Points (GCPs) are

    used to establish and/or refine thetransformation.

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    Slant/Ground Range Conversion

    SAR data are acquired in slant range. Slant to

    ground range conversion is used to project theacquired image to the ground system. To do

    this, one needs to know (or assume) imaging

    geometry, platform altitude, range delay and

    terrain elevation. Resampling is used to give

    uniform pixel spacing (in ground range) across

    the image swath. Slant to ground range

    conversion can be done during signal

    processing or during image processing.

    Generally, it is applied after radiometric

    correction. Approaches and algorithms usedare a function of analysis objectives.

    RADARSAT ground range products assume a

    sea level ellipsoid earth model with zero relief.

    Image Registration Polynomial Transforms

    Polynomial transform uses a best-fit model.

    First order polynomial is a shift-rotation of the

    image, whereas the third order polynomial is a

    complex warping of the image. Second orderpolynomials are used for images requiring

    nonlinear warping. Third and higher order

    polynomials create a more complex image

    transformation. Higher order transforms

    require a greater number of ground control

    points (GCPs) in order to produce the

    transform model. High order does not

    guarantee higher accuracy. Higher order

    usually ties the image down at the GCPs, but

    can increase errors between the GCPs.

    Radargrammetric Method

    Geocoding is the geometric correction of

    image data to a map projection. Traditional

    method of geocoding is the polynomial

    transform. This method does neither model

    the viewing geometry nor use elevation data

    to correct for topography. The most accurate

    geocoding method is the radargrammetric

    method. The radargrammetric process

    consists of three steps as following:

    Ephemeris modeling and refinement (if GCPs

    are provided)

    Sparse mapping grid generation

    Output formation (including terrain

    corrections)

    Radargrammetric method uses analytical

    formulation of the distortions during image

    formation. Therefore, the geometric

    correction is done using the platform

    (ephemeris and ancillary data), sensor

    (integration time, pulse length, depression

    angle), and DEM information. Output of

    radargrammetry is an Ortho-image

    corrected for all distortions, including relief.

    The planimetric accuracy of the final ortho-

    image is dependent on the accuracy of GCPs

    and the DEM.

    The advantages of radargrammetric

    method are as following:

    Unified projection system.

    Direct image to terrain correction.

    Only one resampling of an image (slant

    range to map projection is directly done,

    no intermediate conversion to ground is

    required).

    Homogeneity in the ortho - image

    generation.

    Use of a DEM or a mean altitude.

    Better integration with GIS or digital

    maps.

    Comprehension and control of the full

    geometric process and of the resulting

    errors.

    Conclusion

    Geometric corrections in radar imageries are

    different than optical ones as the geometry of

    the imageries are different. The

    radargrammetric method has a betterperformance in compare to the other two

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    methods. The reason seems to be obvious as

    radargrammetry considers geometry of

    imaging, uses both orbital parameters of the

    sensor, and DEM of the region.