Banded matrix fraction representation of triangular input normal pairs

Band Matrix Representation of Triangular InputBalanced

For generic lower triangular matrices, A, we prove that A ij = P d q=1 H iq G jq for i > j is equivalent to A = M ?1 N where M and N are d+1 banded matrices. A lower triangular matrix A is input balanced of order/rank d if there exists a rank-d matrix B such that AA = I ? BB. We prove that if A is triangular input balanced then generically, A = M ?1 N where M and N are d + 1 banded matrices. Th...

Differential Polynomial Rings of Triangular Matrix Rings

New coprime polynomial fraction representation of transfer function matrix

Representation of a digitized surface by triangular faces

This paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. The method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. Assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. The method allows the measurement of the local quality ...

Representation of a digitized surface by triangular faces

This paper proposes a triangulation method for a digitized surface whose points are located on a regular lattice. The method relies on an iterative and adaptive splitting of triangular faces of an initial polyhedral surface. Assuming a bijection between the digitized surface and its approximation, a partition of the data base is performed. The method allows the measurement of the local quality ...