Matrix: Yoshiyasu/mesh_deform

Description: image mesh deformation problem, Y. Yoshiyasu, Keio Univ, Japan

Yoshiyasu/mesh_deform graph
(bipartite graph drawing)


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  • download as a MATLAB mat-file, file size: 7 MB. Use UFget(2249) or UFget('Yoshiyasu/mesh_deform') in MATLAB.
  • download in Matrix Market format, file size: 10 MB.
  • download in Rutherford/Boeing format, file size: 9 MB.

    Matrix properties
    number of rows234,023
    number of columns9,393
    structural full rank?yes
    structural rank9,393
    # of blocks from dmperm1
    # strongly connected comp.1
    explicit zero entries0
    nonzero pattern symmetry 0%
    numeric value symmetry 0%
    Cholesky candidate?no
    positive definite?no

    authorY Yoshiyasu
    editorT. Davis
    kindcomputer graphics/vision problem
    2D/3D problem?yes

    Additional fieldssize and type
    bfull 234023-by-3
    Dsparse 234023-by-234023


    This problem one is template deformation using the vector field from the   
    Yoshiyasu/image_interp problem, solved with v=(A2'*D*A2)/(A2'*D*b2), where 
    D is a diagonal matrix containing weights.  Structures of A2 and b2 are a  
    little bit more complex than A1 and b1 (in the image_interp problem), but  
    they are similar.  Both systems are not very time-consuming themselves, but
    this process iterates more than 10 times for 10 views.  [Note by T. Davis: 
    since C is of high rank, update/downdate will not be effective, since it is
    meant for low-rank changes.]                                               

    Ordering statistics:result
    nnz(V) for QR, upper bound nnz(L) for LU, with COLAMD199,077,634
    nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD1,122,590

    SVD-based statistics:
    null space dimension0
    full numerical rank?yes

    singular values (MAT file):click here
    SVD method used:s = svd (full (R)) ; where [~,R,E] = spqr (A) with droptol of zero

    Yoshiyasu/mesh_deform svd

    For a description of the statistics displayed above, click here.

    Maintained by Tim Davis, last updated 12-Mar-2014.
    Matrix pictures by cspy, a MATLAB function in the CSparse package.
    Matrix graphs by Yifan Hu, AT&T Labs Visualization Group.