Hi Fermi
Yes, the photograph looks like Dipterostemon capitatus ssp. capitatus. There are two other subspecies here in California, ssp. lacuna-vernalis and ssp. pauciflora. Your plant does not appear to fit the description of ssp. lacuna-vernalis or ssp. pauciflora.
Dipterostemon capitatus ssp. capitatus, as might be expected, has a fair degree of genetic variability with qualities that are useful in ornamental horticulture. There are white flowering forms, as well as variability in the number of flowers per scape and their shade of bluish-purple. The bracts are generally deep blue-purple, but this too can be variable. In addition, there is variability in the ploidy level, which can lead to larger scapes, flowers, and bulbs. Good forms are very useful garden plants, especially in xeric Mediterranean type landscape situations.