Frequency Domain Analysis and Synthesis of Image Pyramid Generating Kernels
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robustness of image pyramids under structural perturbations
Computer Vision, Graphics, and Image Processing
A Theory for Multiresolution Signal Decomposition: The Wavelet Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Unified Approach to the Change of Resolution: Space and Gray-Level
IEEE Transactions on Pattern Analysis and Machine Intelligence
Pyramid algorithms for finding global structures in images
Information Sciences: an International Journal
| Hi-index | 0.14 |
This paper presents a technique for image pyramid generation, in which the reduction (expansion) factor between layers is any rational number M/L. The image pyramid generation is modeled as an interpolation and filtering followed by a decimation. The model enables frequency domain analysis of the image pyramid, as well as convenient design of the generating kernels. L(M) generating kernels are necessary to produce an image pyramid with reduction (expansion) factor M/L(L/M). A polyphase filter network scheme is used where the L(M) generating kernels can be produced by sampling one prototype low-pass filter with cutoff frequency at omega = pi /max(M,L). Using these polyphase filters, the frequency content of pyramid image decompositions can be adjusted with great flexibility. A systematic procedure is presented here for specifying the relative positions of spatial samples in successive pyramid levels-a complication that arises when generalizing from integer reduction factors to rational factors. Two types of low-pass filters are employed in this work for the prototype filter design: a binomial filter and an FIR linear phase filter. Illustrative examples are presented.