Tiled Textures What if Miro Had Painted a Sphere

We present a simple and practical technique for seamlessly texturing quadrilateral meshes. Using our technique any image can be converted to an isotropic texture that can be mapped to any quadrilateral mesh without any discontinuity or singularity. Using our technique, we can make any abstract painter like Miro to seamlessly paint any smooth manifold surface. The surface can have any number of holes or handles. Our texturing method is to organize a set of tiles that satisfy specific boundary conditions into one texture image file which is called a tiled texture. We have also developed an algorithm to create tiled textures from any image with a simple user interface that allows the users to specify the boundaries. Based on tiled textures, we have developed an extremely simple texture mapping algorithm that assigns one tile to every quadrilateral in any given quadrilateral mesh. Our mapping algorithm provides aperiodicity on the surface of the mesh and yields singularity free textures regardless of the singularities existing in the quadrilateral mesh Figure 1: What happens if Miro or Kandinsky had painted a sphere: Mapping two tiled texture images (see Figure 3) created from (A) Miro and (B) Kandinsky paintings to a spherical shaped mesh. ∗Address: 216 Langford Center, College Station, Texas 77843-3137. email: [email protected]. phone: +(409) 845-6599.