Texture design using a simplicial complex of morphable textures

Abstract

We present a system for designing novel textures in the space of textures induced by an input database. We capture the structure of the induced space by a simplicial complex where vertices of the simplices represent input textures. A user can generate new textures by interpolating within individual simplices. We propose a morphable interpolation for textures, which also defines a metric used to build the simplicial complex. To guarantee sharpness in interpolated textures, we enforce histograms of high-frequency content using a novel method for histogram interpolation. We allow users to continuously navigate in the simplicial complex and design new textures using a simple and efficient user interface. We demonstrate the usefulness of our system by integrating it with a 3D texture painting application, where the user interactively designs desired textures.

Scale Space and Variational Methods in Computer Vision

“…This barycenter was used for texture mixing applications in [27]. This paper generalizes this approach to point clouds in arbitrary dimensions.…”

“…These methods are extended by Matusik et al [27] to perform convex combination of textures, by warping patches and averaging 1D histograms.…”

Patch‐based Texture Interpolation

“…However, depending on the input images very different elements might constitute features. We tried both the compass operator [RT99], which was suggested in [MZD05] for this purpose, as well as several edge detectors. Still, for many images the results were not very satisfactory and thus for this paper we use manually created feature maps.…”

“…Blending only works satisfactory when features, like for example edges, ridges or cracks, in both textures are aligned to each other. In [MZD05], it was therefore proposed to solve this problem by first computing a global warping field, which aligns corresponding features in the two texture samples, and then interpolating between the warped images. However, this approach suffers from two problems: Firstly, the amount of deformation has to be kept low, as otherwise the appearance of the texture changes considerably and artifacts occur in strongly warped regions.…”

More of the same: Synthesizing a variety by structural layering

“…In recent years considerable research effort has been directed at establishing techniques for generation of nonrepetitive textures from a given example [1,2,3,4,5,6,7]. These techniques work well for stationary textures, but they do not handle structural variation coupled within the texture.…”