Preheat the oven to 400 degrees
Cut off the woody ends of the asparagus, Save the ends for stock, soup, or compost.
Place them on a sheet pan. Drizzle on some oilve oil, then sprinkle on kosher salt and black pepper to taste.
Take half a head of garlic (or the whole head and save half of it for a later use), wrap it in foil and place it in the oven along with the asparagus.
Roast for about 15-20 minutes until asparagus is brown and has softened. Check half way through to set if the tips are starting to brown and cover then with aluminum foil. Check if the garlic has softened, leave it oven for a little longer if needed.
Allow to cool for a few minutes before cutting off the tips. Set them aside. Then slice up the stems into bite sized pieces.
Place in your food processor, the roasted garlic, sunflower seeds, asparagus stem pieces, and Parmesan cheese, and the juice of half a lemon. Process to combine, making sure to scrap down the sides of the bowl at least once.
With the machine running drizzle in about ¼ cup of olive oil. If it needs more to get to the right consistency you want, then drizzle in more slowly and keep checking. Add additional salt if needed.