Yoshiyasu/mesh_deform
image mesh deformation problem, Y. Yoshiyasu, Keio Univ, Japan
| Name |
mesh_deform |
| Group |
Yoshiyasu |
| Matrix ID |
2249 |
|
Num Rows
|
234,023 |
|
Num Cols
|
9,393 |
|
Nonzeros
|
853,829 |
|
Pattern Entries
|
853,829 |
|
Kind
|
Computer Graphics/Vision Problem |
|
Symmetric
|
No |
|
Date
|
2009 |
|
Author
|
Y Yoshiyasu |
|
Editor
|
T. Davis |
| Structural Rank |
9,393 |
| Structural Rank Full |
true |
|
Num Dmperm Blocks
|
1 |
|
Strongly Connect Components
|
1 |
|
Num Explicit Zeros
|
0 |
|
Pattern Symmetry
|
0% |
|
Numeric Symmetry
|
0% |
|
Cholesky Candidate
|
no |
|
Positive Definite
|
no |
|
Type
|
real |
| SVD Statistics |
| Matrix Norm |
4.453382e+01 |
| Minimum Singular Value |
3.817279e-02 |
| Condition Number |
1.166638e+03
|
| Rank |
9,393 |
| sprank(A)-rank(A) |
0 |
| Null Space Dimension |
0 |
| Full Numerical Rank? |
yes |
| Download Singular Values |
MATLAB
|
| Download |
MATLAB
Rutherford Boeing
Matrix Market
|
| 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.]
|
