Matrix: Yoshiyasu/mesh_deform
Description: image mesh deformation problem, Y. Yoshiyasu, Keio Univ, Japan
(bipartite graph drawing) |
Matrix properties | |
number of rows | 234,023 |
number of columns | 9,393 |
nonzeros | 853,829 |
structural full rank? | yes |
structural rank | 9,393 |
# of blocks from dmperm | 1 |
# strongly connected comp. | 1 |
explicit zero entries | 0 |
nonzero pattern symmetry | 0% |
numeric value symmetry | 0% |
type | real |
structure | rectangular |
Cholesky candidate? | no |
positive definite? | no |
author | Y Yoshiyasu |
editor | T. Davis |
date | 2009 |
kind | computer graphics/vision problem |
2D/3D problem? | yes |
Additional fields | size and type |
b | full 234023-by-3 |
D | sparse 234023-by-234023 |
Notes:
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 COLAMD | 199,077,634 |
nnz(R) for QR, upper bound nnz(U) for LU, with COLAMD | 1,122,590 |
SVD-based statistics: | |
norm(A) | 44.5338 |
min(svd(A)) | 0.0381728 |
cond(A) | 1166.64 |
rank(A) | 9,393 |
sprank(A)-rank(A) | 0 |
null space dimension | 0 |
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 |
status: | ok |
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.