Wash the parsley, dab dry and pluck the leaves. Peel the garlic. Cut off 1 1 1/2 cress beds and chop them finely together with the almonds, garlic, parsley leaves and parmesan in the mixing attachment of a food processor or in a universal chopper.
Add oil little by little until the pesto has a creamy consistency. Season the finished pesto with salt and pepper. Wash the asparagus, peel the lower third and cut off the woody ends. Cut the asparagus into 2-3 cm long pieces.
Put the spaghetti in plenty of boiling salted water and cook for about 11 minutes until bubbly. Put asparagus also in boiling salted water, add 1 pinch of sugar and simmer covered for 6-8 minutes.
In the meantime, cut the smoked salmon into cubes about 1 cm thick. Drain the spaghetti, rinse briefly under cold water and drain. Drain the asparagus as well and mix it together with the cress pesto and the salmon cubes into the spaghetti.
Arrange in deep plates. Cut the rest of the cress from the bed and sprinkle over the spaghetti.