Patent ID: 8904679

Claim:
A method of applying a distorted image on a warped or curved surface which surface has an irregular spatial shape, wherein the distortion is made in a way that an undistorted view on the said image is provided from a reference point which is not an element of the said surface, the reference point having a fixed position with respect to the said surface, and wherein the distortion of the image on the said surface is such that an undistorted image made up by points P j (x j ; y j ; z j ) with the coordinates x j , y j , and z j is generated on a focal plane by a focussing means which focussing means has a fixed position with respect to the reference point, comprising the steps of generating the coordinates of a plurality of points P i which are elements of the said warped or curved surface, the points P i being chosen such that they form a plurality of equilateral triangles, and that the square distance between a point on the warped or curved surface whose vertical projection onto the nearest triangle is in the center of the said triangle, and the center point of the said triangle is not larger than the area of the said triangle multiplied by a resolution factor RF, wherein the resolution factor RF is between 0.1 and 5, and wherein the coordinates x i , y i , and z i for any point P i (x i ; y i ; z i ) on the warped or curved surface are calculated from the coordinates x j , y j , and z j of the points P j as x i =(1+α 2 /[γ(1+γ)])· x j +α·β/[γ(1+γ)])· y j , y i =α·β/[γ(1+γ)])· x j +(1+α 2 /[γ(1+γ)])· y j , and z i =z j +d , where α=λ/a; β=λ/b; and γ=λ/c, and a, b, and c are the coordinates of the corner points of the equilateral triangle a=( 1/2√{square root over (2)} ·s; 0; 0), b=(0; 1/2√{square root over (2)} ·s; 0), and c=(0; 0; 1/2√{square root over (2)} ·s), where s is the length of any side of the equilateral triangle, and λ=1/(1 /a 2 +1 /b 2 +1 /c 2 ) 1/2 and d is the distance between the focal plane and the individual points P i which make up the surface elements on the warped or curved surface, calculating for each of these points P i the colour information comprising lightness, saturation, and hue from the undistorted image in the focal plane, and applying to each of the points P i on the said warped or curved surface a coloured dot having the colour information as calculated in the second step.