<p>Disclosed herein is a covering method and apparatus comprising stressing an elastic body (32) having a contoured surface (34) to reduce the contours thereof; laminating a covering material (36) to the reduced body surface; and de-stressing the elastic body/covering material laminate to permit the contoured surface to return to substantially the original contours thereof with the covering material conforming to the shape thereof; stressing may comprise compressing and/or stretching to flatten the contours thereof and laminating the covering material to the flattened surface using a bonding film (40); the elastic body may be a foam plastic mattress core.</p>