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picture1_Geometry Pdf 167263 | 9 2019 01 04!04 41 57 Pm


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File: Geometry Pdf 167263 | 9 2019 01 04!04 41 57 Pm
lecture 6 geometric transformations and image registration lin zhang phd school of software engineering tongji university spring 2013 lin zhang sse 2013 contents transforming points hierarchy of geometric transformations applying ...

icon picture PDF Filetype PDF | Posted on 25 Jan 2023 | 2 years ago
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                    Lecture 6
         Geometric Transformations and
               Image Registration
                   Lin ZHANG, PhD
              School of Software Engineering 
                   Tongji University
                    Spring 2013
                                    Lin ZHANG, SSE, 2013
        Contents
       • Transforming points
       •Hierarchy of geometric transformations
       • Applying geometric transformations to images
       •Image registration
                                           Lin ZHANG, SSE, 2013
      Transforming Points
     •Geometric transformations modify the spatial 
       relationship between pixels in an image
     •The images can be shifted, rotated, or stretched in a 
       variety of ways
     •Geometric transformations can be used to 
       •create thumbnail views
       • change digital video resolution
       • correct distortions caused by viewing geometry
       • align multiple images of the same scene
                                 Lin ZHANG, SSE, 2013
        Transforming Points
       Suppose (w, z) and (x, y) are two spatial coordinate systems
            input space output space
       A geometric transformation T that maps the input space to 
       output space    (,x yT) (w,z)
                                    
       Tis called a forward transformation or forward mapping
                              1
                     (,wz)T (x,y)
                                    
       T-1 is called a inverse transformation or inverse mapping
                                              Lin ZHANG, SSE, 2013
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...Lecture geometric transformations and image registration lin zhang phd school of software engineering tongji university spring sse contents transforming points hierarchy applying to images modify the spatial relationship between pixels in an can be shifted rotated or stretched a variety ways used create thumbnail views change digital video resolution correct distortions caused by viewing geometry align multiple same scene suppose w z x y are two coordinate systems input space output transformation t that maps yt tis called forward mapping wz is inverse...

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