A Unified Framework for Alpha Matting

Many important alpha matting algorithms are proposed in recent years, which focus on how to solve the alpha value on image interactively. However, few papers discuss about why the border of opaque object in image is half-transparent. In this paper, we show how the optical principles produce the translucent effect on photography. We denote the matting problem in a unified form, by which form, we can analyze and compare different matting algorithm by comparing their sampling function and matting matrix. Our work can help us to propose and evaluate new matting algorithm. We also expand our framework to video matting and get an enhanced video matting algorithm.

[1]  Guillermo Sapiro,et al.  Video SnapCut: robust video object cutout using localized classifiers , 2009, SIGGRAPH 2009.

[2]  Author.  $article.title , 2002, Nature.

[3]  Jue Wang,et al.  A perceptually motivated online benchmark for image matting , 2009, CVPR.

[4]  Jian Sun,et al.  Video object cut and paste , 2005, SIGGRAPH 2005.

[5]  David Salesin,et al.  A Bayesian approach to digital matting , 2001, Proceedings of the 2001 IEEE Computer Society Conference on Computer Vision and Pattern Recognition. CVPR 2001.

[6]  Michael F. Cohen,et al.  Optimized Color Sampling for Robust Matting , 2007, 2007 IEEE Conference on Computer Vision and Pattern Recognition.

[7]  Tom Duff,et al.  Compositing digital images , 1984, SIGGRAPH.

[8]  Jian Sun,et al.  Poisson matting , 2004, ACM Trans. Graph..

[9]  Wei Chen,et al.  Easy Matting ‐ A Stroke Based Approach for Continuous Image Matting , 2006, Comput. Graph. Forum.

[10]  Rüdiger Westermann,et al.  RANDOM WALKS FOR INTERACTIVE ALPHA-MATTING , 2005 .

[11]  Guillermo Sapiro,et al.  A Geodesic Framework for Fast Interactive Image and Video Segmentation and Matting , 2007, 2007 IEEE 11th International Conference on Computer Vision.

[12]  Naoki Asada,et al.  Seeing Behind the Scene: Analysis of Photometric Properties of Occluding Edges by the Reversed Projection Blurring Model , 1998, IEEE Trans. Pattern Anal. Mach. Intell..

[13]  Harry Shum,et al.  Video object cut and paste , 2005, ACM Trans. Graph..

[14]  Shi-Min Hu,et al.  Sketch2Photo: internet image montage , 2009, ACM Trans. Graph..

[15]  Guillermo Sapiro,et al.  Geodesic Matting: A Framework for Fast Interactive Image and Video Segmentation and Matting , 2009, International Journal of Computer Vision.

[16]  Dani Lischinski,et al.  A Closed-Form Solution to Natural Image Matting , 2006, IEEE Transactions on Pattern Analysis and Machine Intelligence.