To assemble the salmon seaweed rolls: Place one piece of rice paper on a clean working surface. Lightly brush both sides with water until softened but not overly wet. Place a sheet of roasted seaweed in the center of the rice paper. Add one salmon strip and one piece of asparagus near the bottom edge. Roll it up halfway, fold in the sides, then roll it all the way up. Repeat with the remaining ingredients.
To make the teriyaki dipping sauce: In a saucepan over medium heat, combine the water, soy sauce, mirin, sake, sugar, and ginger. Bring to a simmer. In a separate bowl, mix the cornstarch and water to make a slurry. Slowly pour the slurry into the sauce, stirring until thickened. Stir in the roasted sesame seeds and set aside.
To pan-fry the rolls: Heat the avocado oil in a pan over medium heat and sprinkle in the salt. Add the rolls to the pan and pan-fry until crispy and golden on all sides, about 5 minutes total. Remove from the pan and repeat with the remaining rolls.
To serve: Serve hot with the teriyaki dipping sauce.