HEALPIX DCT technique for compressing PCA-based illumination adjustable images

An illumination adjustable image (IAI), containing a set of pre-captured reference images under various light directions, represents the appearance of a scene with adjustable illumination. One of drawbacks of using the IAI representation is that an IAI consumes a lot of memory. Although some previous works proposed to use blockwise principal component analysis for compressing IAIs, they did not consider the spherical nature of the extracted eigen-coefficients. This paper utilizes the spherical nature of the extracted eigen-coefficients to improve the compression efficiency. Our compression scheme consists of two levels. In the first level, the reference images are converted into a few eigen-images (floating point images) and a number of eigen-coefficients. In the second level, the eigen-images are compressed by a wavelet-based method. The eigen-coefficients are organized into a number of spherical functions. Those spherical coefficients are then compressed by the proposed HEALPIX discrete cosine transform technique.

[1]  K. H. Barratt Digital Coding of Waveforms , 1985 .

[2]  Peter No,et al.  Digital Coding of Waveforms , 1986 .

[3]  Ian H. Witten,et al.  Arithmetic coding for data compression , 1987, CACM.

[4]  M. Landy,et al.  The Plenoptic Function and the Elements of Early Vision , 1991 .

[5]  Gregory K. Wallace,et al.  The JPEG still picture compression standard , 1992 .

[6]  Shenchang Eric Chen,et al.  QuickTime VR: an image-based approach to virtual environment navigation , 1995, SIGGRAPH.

[7]  Jyh-Shin Pan Jyh-Shin Pan,et al.  Video Encoder Architecture for MPEG2 Real Time Encoding , 1996, 1996. Digest of Technical Papers., International Conference on Consumer Electronics.

[8]  Eero P. Simoncelli,et al.  Progressive wavelet image coding based on a conditional probability model , 1997, 1997 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[9]  Krzysztof M. Gorski,et al.  The HEALPix Primer , 1999, astro-ph/9905275.

[10]  Chi-Wing Fu,et al.  Interactive Relighting of Panoramas , 2001, IEEE Computer Graphics and Applications.

[11]  Andrew Chi-Sing Leung,et al.  The plenoptic illumination function , 2002, IEEE Trans. Multim..

[12]  Paul E. Debevec Image-Based Lighting , 2002, IEEE Computer Graphics and Applications.

[13]  Andrew Chi-Sing Leung,et al.  Compression of illumination-adjustable images , 2003, IEEE Trans. Circuits Syst. Video Technol..

[14]  Andrew Chi-Sing Leung,et al.  A compression method for a massive image data set in image-based rendering , 2004, Signal Process. Image Commun..

[15]  C. Leung,et al.  Compressing image-based relighting data using eigenanalysis and wavelets , 2004 .

[16]  Tien-Tsin Wong,et al.  A system for real-time panorama generation and display in tele-immersive applications , 2005, IEEE Transactions on Multimedia.

[17]  Andrew Chi-Sing Leung,et al.  Compressing the illumination-adjustable images with principal component analysis , 2005, IEEE Trans. Circuits Syst. Video Technol..

[18]  F. Klein Lectures On The Icosahedron And The Solution Of Equations Of The Fifth Degree , 2007 .