Multi-scale Assemblage for Procedural Texturing

Figure 1: Multi-scale assemblage is a random pattern generation process generalizing sparse convolution. It allows users to design interactively new types of texture basis functions (noise-like functions) and / or structured patterns by preserving all advantages of procedural definitions, namely infinity without repetition, definition independency and extreme compactness. These textures require no texture memory and fit entirely into the shader program. A procedural pattern generation process, called multi-scale “assemblage ” is introduced. An assemblage is defined as a multi-scale composition of “multi-variate ” statistical figures, that can be kernel functions for defining noise-like texture basis functions, or that can be patterns for defining structured procedural textures. This paper presents two main contributions: 1) a new procedural random point distribution function, that, unlike point jittering, allow us to take into account some spatial dependencies among figures and 2) a “multi-variate ” approach that, instead of defining finite sets of constant figures, allows us to generate nearly infinite variations of figures on-the-fly. For both, we use a “statistical shape model”, which is a representation of shape variations. Thanks to a direct GPU implementation, assemblage textures can be used to generate new classes of procedural textures for real-time rendering by preserving all characteristics of usual procedural textures, namely: infinity, definition independency (provided the figures are also definition independent) and extreme compactness