Halcon knowledge: matrix topic [02]

One 、 summary

         Above 《  halcon knowledge ： Matrix topics 【01】》 in , Record 10 strip halcon Basic matrix operators . In this article, we will continue with the operators of matrices , Including arithmetic operations 、 preservation 、 Read in, etc 10 Bar operator operation .

Two 、 Matrix operator

2.1 Matrix transposition

transpose_matrix(matrix_3_id,matrix_trans_id)
get_full_matrix(matrix_trans_id,values_trans)

2.2 Matrix sum

Matrix summation operation

• Sum by column

sum_matrix(matrix_3_id,‘columns’,matrix_sum_cols_id)
get_full_matrix(matrix_sum_cols_id,values_sum_cols)

• Sum up by line

sum_matrix(matrix_3_id,‘rows’,matrix_sum_rows_id)
get_full_matrix(matrix_sum_rows_id,values_sum_rows)

• Sum the whole matrix

sum_matrix(matrix_3_id,‘full’,matrix_sum_full_id)
get_full_matrix(matrix_sum_full_id,values_sum_full)

2.3 Addition and subtraction

• Matrix addition

add_matrix(matrix_3_id,matrix_4_id,matrix_add_id)
get_full_matrix(matrix_add_id,values_add)

• Matrix subtraction

sub_matrix(matrix_3_id,matrix_4_id,matrix_sub_id)
get_full_matrix(matrix_sub_id,values_sub)

2.4 Matrix multiplication and division

• matrix multiplication

mult_matrix(matrix_a_id,matrix_b_id,‘AB’,matrix_mult_id)
get_full_matrix(matrix_mult_id,values_mult)

• A matrix is multiplied by a constant

scale_matrix(matrix_3_id,1.5,matrix_scale_id)
get_full_matrix(matrix_scale_id,values_scale)

• Matrix Division

div_element_matrix(matrix_3_id,matrix_4_id,matrix_div_id)
get_full_matrix(matrix_div_id,values_matrix_div)

• matrix element-wise Multiply

mult_element_matrix(matrix_3_id,matrix_4_id,mult_elems_id)
get_full_matrix(mult_elems_id,values_mult_elems)

2.5 Norm of matrix

We know , As a vector, I have 1 norm ,2 norm ,N Norm and infinite norm , Matrices have the same properties .

• norm_matrix( : : MatrixID, NormType : Value)

such as ：norm_matrix( matrix_id, ‘2-norm’, value_norm ) Get the second norm of the matrix .

norm ：

'1-norm'：1 norm , Is the sum of the absolute values of all the elements in the matrix .

‘2-norm’：2 norm , Calculation 2 norm . The result is the maximum singular value of the matrix . The calculation formula of the result is ：

'frobenius-norm': It's the Euclidean norm , That is, the sum of the squares of all the elements in the matrix 、 For this and the prescription .

'infinity-norm': The infinite norm , That is, all the elements in the matrix take absolute values respectively , The biggest .

2.6 Statistics of elements

Get the matrix mean

• Average by column

mean_matrix(matrix_3_id,‘columns’,matrix_mean_cols_id)
get_full_matrix(matrix_mean_cols_id,values_mean_cols)

• Average by row

mean_matrix(matrix_3_id,‘rows’,matrix_mean_rows_id)
get_full_matrix(matrix_mean_rows_id,values_mean_rows)

• The mean value of the whole matrix

mean_matrix(matrix_3_id,‘full’,matrix_mean_full_id)
get_full_matrix(matrix_mean_full_id,values_mean_full)

2.7 Max min

• Get the minimum value of the matrix

Get... By column
min_matrix(matrix_3_id,‘columns’,matrix_min_cols_id)
get_full_matrix(matrix_min_cols_id,values_min_cols)

Press the line to get
min_matrix(matrix_3_id,‘rows’,matrix_min_rows_id)
get_full_matrix(matrix_min_rows_id,values_min_rows)

The maximum value of the whole matrix
min_matrix(matrix_3_id,‘full’,matrix_min_full_id)
get_full_matrix(matrix_min_full_id,values_min_full)

• Get the maximum value of the matrix

Get... By column
max_matrix(matrix_3_id,‘columns’,matrix_max_cols_id)
get_full_matrix(matrix_max_cols_id,values_max_cols)

Press the line to get
max_matrix(matrix_3_id,‘rows’,matrix_max_rows_id)
get_full_matrix(matrix_max_rows_id,values_max_rows)

The maximum value of the whole matrix
max_matrix(matrix_3_id,‘full’,matrix_max_full_id)
get_full_matrix(matrix_max_full_id,values_max_full)

Matrix linear solution
solve_matrix(matrix_3_id,‘general’,0,matrix_c_id,matrix_solve_result_id)
get_full_matrix(matrix_solve_result_id,values_matrix_solve)

2.8 Index of operation

matrix element-wise Index of operation
pow_element_matrix(matrix_3_id,matrix_4_id,matrix_pow_elem_id)
get_full_matrix(matrix_pow_elem_id,values_pow_elem)

Matrix exponential operation
pow_scalar_element_matrix(matrix_3_id,3,matrix_pow_scale_id)
get_full_matrix(matrix_pow_scale_id,values_pow_scale)

2.9  Matrix square operation

sqrt_matrix(matrix_3_id,matrix_sqrt_id)
get_full_matrix(matrix_sqrt_id,values_sqrt)

2.10 matrix SVD solve

svd_matrix(matrix_3_id,‘full’,‘right’,matrix_u_id,matrix_s_id,matrix_v_id)

get_full_matrix(matrix_u_id,values_u)
get_full_matrix(matrix_s_id,values_s)
get_full_matrix(matrix_v_id,values_v)

2.11 Matrix access

Matrix save
write_matrix(matrix_3_id,‘binary’,’…/…/temp/matrix_3_id.dat’)

Read matrix
read_matrix(’…/…/temp/matrix_3_id.dat’,matrix_3_3_id)
get_full_matrix(matrix_3_3_id,values_read)

（ Ongoing update ）