Amir Said, Hewlett Packard Laboratories, Palo Alto, CA
Sehoon Yea, Rensselaer Polytechnic Institute, Troy, NY
Many technical imaging applications, like coding "images" of digital elevation maps, require extracting regions of compressed images in which the pixel values are within a pre-defined range, and there is a need for coding methods that allow finding these regions efficiently, without having to decompress the whole image. We present a series of techniques to solve this problem. First, we show that many of the linear transforms commonly used for image compression can be used for that purpose by proving that the inclusion of nonlinear factors (like minimum or maximum pixel value in a block) does not render the transformation irreversible, and can be made to have very limited impact on the compression efficiency. For example, we show how the "DC" coefficient of an 8 x 8 discrete cosine transform (DCT) can be replaced by the minimum or maximum in the 8 x 8 block. This result is valid for a large set of transforms, including the DCT, Walsh-Hadamard, and dyadic Haar transforms, and valid for any type of order-statistic filter output. Next, we show the results also apply to the quantized transform coe?cient cases as well as integer-to-integer transforms. Finally, we study the choices for coding the minimum and maximum values simultaneously, while providing quick access to pixel range and efficient compression.
Citation:
Amir Said, Sehoon Yea, William A. Pearlman, "Coding for Fast Access to Image Regions Defined by Pixel Range," dcc, pp.489, Data Compression Conference (DCC '04), 2004