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Bump maps, or surface roughness.

Texture Synthesis is the process of computing a value ofsome shading parameter (p) for specified points on a surfacepatch.

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Texture and Shape Synthesis on Surfaces

However when the input surface meshes are noisy, the textures synthesized by FEM solutions are often equally noisy, and as shown in . To correct this, we couple an anisotropic diffusion PDE with the reaction-diffusion PDE’s to remove noise on the surface while preserving geometric features, and synthesizing smooth textures at the same time. Enhanced and distortion-free textures are generated by using this coupled PDE system.

 Texture Synthesis works by manipulating the normal of eachfacet on a surface.

shows two examples with sharp features, the fandisk model and the mechanical part. The input mesh has some noises on the surface. After applying our coupled system, the surface is smoothed with sharp features preserved and good quality textures are generated as well. , , and show more results. It is obvious that the noise on the input surface is removed with the preservation of geometric features, and good quality textures are synthesized over the skull, venus and bunny surfaces.

Texture and Shape Synthesis on Surfaces ..

One of the major uses of texture synthesis is to synthesizesurface properties of objects.

We introduce a new method for fast texture synthesis on surfaces from examples. We generalize the image-based jump map texture synthesis algorithm, which partitions the task of texture synthesis into a slower analysis phase and a fast synthesis phase, by developing a new synthesis phase which works directly on arbitrary surfaces. Our method is one to two orders of magnitude faster than existing techniques, and does not generate any new texture images, enabling interactive applications for reasonably-sized meshes. This capability would be useful in many areas, including the texturing of dynamically-generated surfaces, interactive modelling applications, and rapid prototyping workflows.

In this paper, we present a new method to synthesize geometric texture details on an arbitrary surface from a sample texture patch. The key idea is to use Laplacian texture images to represent geometric texture details, which in turn facilitate simple and effective geometry texture synthesis and enable flexible geometry texture editing. Given a sample model and a target model, we first select a patch from the sample model and extract the geometric texture details. Next, we construct a Laplacian texture image for the extracted texture and synthesize the Laplacian texture image to the target model using an image texture synthesis technique on surface. Finally, we reconstruct the textured target model with adjusted Laplacian coordinates. Compared to the existing methods, our method is easy-to-implement and produces results of high quality. Furthermore, it performs flexible control on the appearance of the textured target model through operations on the Laplacian texture image.

Texture Synthesis on Surfaces - Home | College of …

This paper follows asimple 3D surface texture synthesis framework, which comprises threesteps: capture, synthesis and relighting.

We have described a stable and robust finite element solver over arbitrary manifold surfaces for a generalized PDE in the format of . This is used to simulate reaction-diffusion equations coupled with anisotropic diffusion for the synthesis of stable and continuous surface textures without distortions. Different control coefficients of the reaction-diffusion equations are used for the formation of different textures. Additionally, the anisotropic diffusion helps to generate better textures on surfaces by reducing noise in input surface meshes while preserving the surface’s geometric features.

Sometimes noise exists on the geometric surface, therefore in order to generate good quality textures on it, we need to remove the noise. Anisotropic diffusion is a good method for surface fairing because it enhances curve features on the surface by the careful choice of an anisotropic diffusion tensor. In our system, we couple the anisotropic diffusion with the reaction-diffusion together. In other words, the surface is smoothed at the same time when the texture is synthesized.

Using Synthesized Textures   Synthetic textures can be used in two-dimensional surfacemodelling or three-dimensional solid object modelling.
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  • Capture and Synthesis of 3D Surface Texture | …

    Texture Synthesis on Surfaces "Texture Synthesis on Surfaces" Greg Turk SIGGRAPH 2001, pp

  • Texture Synthesis on Biqudratics Surface - …

    Fast Example-based Surface Texture Synthesis via Discrete Optimization October 1, 2006 ..

  • Pseudo surface-texture synthesis - ScienceDirect

    Texture Synthesis on Surfaces | Request PDF

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2D, 3D and Surface Texture Analysis and Synthesis - …

The reaction-diffusion equations were proposed as a model of biological pattern formation for texture synthesis. The traditional reaction-diffusion systems are extended by allowing anisotropic and spatially non-uniform diffusion, as well as multiple competing directions of diffusion []. There have been some attempts searching for different ways to generate textures on arbitrary surfaces based on FDM. Reaction-diffusion textures are generated to match the geometry of an arbitrary polyhedral surface by creating a mesh over a given surface and simulating the reaction-diffusion process directly on this mesh [].

Physically-based Surface Texture Synthesis ..

Various textures can be synthesized by choosing different values of the parameters in the governing equations. In this paper, reaction-diffusion is used to form stable patterns such as spots and stripes when two or more chemicals diffuse at different rates and react with one another, and different coefficients in the PDEs will influence the formation of textures. Anisotropic diffusion is coupled with reaction-diffusion equations to smooth the noise of the input surface mesh, and thereby toncrease the accuracy/quality of texture synthesis.

Texture Synthesis on Subdivision Surfaces | Request PDF

Textures can be generated by simulating physical phenomena, which are simplified into mathematical models represented by PDEs. Although FDM and its variants have been used extensively to solve PDEs, it is still challenging to synthesize textures directly over surfaces. FEM is a more stable and robust method in solving PDEs over arbitrary manifold surfaces.

3D Facial Surface and Texture Synthesis Using 2D …

Texture mapping is an essential technique to map textures onto computer models, but it usually introduces distortions or discontinuities. An alternate approach is to synthesize a texture directly on the surface of objects. The finite difference method (FDM) has been extended to generate patterns over surfaces, but the problem of distortions or discontinuities still exist, and the results can be often divergent if non-suitable time steps or incorrect initial conditions are chosen. Here we use the finite element method (FEM) for the stable and robust solution of reaction-diffusion partial differential equations (PDEs). These FEM solutions allow for smooth and distortion free textures to be directly synthesized and visualized on arbitrary surface manifolds.

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