The Engesvik by Hand collection includes tablecloths, runners and place mats produced by Georg Jensen Damask, the textile arm of the Danish silverware company.
Engesvik patterned the colourful materials with grids of thin lines, which are designed to look as if they are drawn by hand onto the surfaces.
"The uneven structure relates in a harmonious way to the imperfect imbalances of everyday life," said Engesvik, who has previously created blankets based on traditional Norwegian costumes.
The uneven lines are woven into the cloth with slightly lighter yarns than the background colour
"It has been an exciting and somewhat demanding challenge, as the simple hand sketch is a complicated task for the weaves," the designer said. "Therefore we have almost had to force the weaves to weave a line made by the pressure of the hand onto the pencil."
The designs come in blue and terracotta versions, and were launched at last month's Oslo Design Fair.
Engesvik graduated from courses in design and history of art in 2000, then established the studio Norway Says with two other designers. Six years later, he opened a design studio under his own name that works across furniture, tableware and industrial design.
Based in Kolding, Georg Jensen Damask was founded in the 15th century. The company has produced textiles by designers including Arne Jacobsen and provided a tablecloth for the Queen of Denmark's silver wedding in 1992.