Preheat the oven to 500 degrees.
In a mixer fitted with a dough hook, add the warm water and sprinkle in the yeast. Let sit for 2-3 minutes to allow the yeast to bloom.
Add the honey, then the olive oil. Mix well.
Add the flour and beat on low until incorporated.
Add the salt. Increase the speed to "high" and beat for 10 minutes until the dough is soft and elastic.
Place the mixing bowl somewhere warm, and cover with a towel. Let the dough rise for 30-45 minutes.
Punch down and place on a flat, floured surface. Split the dough into four sections. Form each section into a ball. Roll each dough ball out into a round.
Place two rounds onto a cookie sheet lined with parchment paper or a silpat. Add the other two rounds to a second baking sheet.
Sauté the morels in 2 tablespoons of butter in a sauté pan, 4-5 minutes.
Add the chopped asparagus. Cook for 4-5 more minutes. Remove from heat.
Spread the morel mixture onto the four rounds. Sprinkle with parmesan or gruyere cheese.
Bake for 15-16 minutes at 500 degrees until golden brown.