Solid Texture Synthesis from 2D Exemplars

1
Solid Texture Synthesis from 2D Exemplars

• Johannes Kopf, Chi-Wing Fu, Daniel Cohen-Or,
  Oliver Deussen, Dani Lischinski and Tien-Tsin Wong

From Siggraph 2007 Presented by Li, Ying Tsung
2
Outline

• Introduction
• Related work
• Synthesis framework
• Result

3
Introduction

• What is solid texture?
• A 3D texture that describes solid material
• Obviate the need for finding the parameterization
  of the textured object
• What is texture synthesis ?
• Construct large image from small sample image

4
(No Transcript)
5
Related Work-1

• Synthesis methods
• Parametric based
• Non-parametric based
• Pixel based
• Patch based
• Optimization based

6
Related Work-2

• Synthesis Solid texture
• Stereological Techniques for Solid Textures
  Jagnow 2004

7
Synthesis framework - Overview

• Optimization based method
• Minimize a global texture energy function
• Optimization step
• Optimization phase
• Search phase
• Avoid local minimal by using Histogram matching
• Re-weighting

8
Global energy function

• sv a single voxel sv,i the
  vectorized neighborhoods of v in the
  slices orthogonal to I axis ev,I exemplar
  neighborhood closest to sv,I
• Set r 0.8 to be more robust against outliers
  Kwatra 2005

9
Optimization step optimization phase

• To avoid too blurry result
• Treating the texels eu,I,v as points in a
  high-dimensional space
• Cluster by Mean-Shift ? average only the dominant
  cluster Wexler 2007

10
Optimization step search phase

• Search the nearest neighbor
• Apply PCA to reduce dimensions ? preserve 95 of
  the variance
• Using ANN approximate nearest neighbor library
  Mount and Arya 2006
• Search neighbors only on sparse grid

11
Result

• Time
• 2.4 GHz CPU 1283 solid texture with 3
  channelsper texel takes anywhere between 10 90
  mins
• Quality
• With/Without feature map compare
• Isotropic/Anisotropic different
• Different with others compare
• No blurring others have this artifact
• Color smear independent synthesis of correlated
  color