Browsing DSP Publications by Subject "wedgelets"
Now showing items 1-15 of 15
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Approximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Model
(2003-09-01)Inherent to photograph-like images are two types of structures: large smooth regions and geometrically smooth edge contours separating those regions. Over the past years, efficient representations and algorithms have been ... -
Coding Theoretic Approach to Image Segmentation
(2001-10-20)In this paper, using a coding theoretic approach, we implement Rissanen's concept of minimum description length (MDL) for segmenting an image into piecewise homogeneous regions. Our image model is a Gaussian random field ... -
Coding Theoretic Approach to Image Segmentation
(2001-05-20)Using a coding theoretic approach, we achieve unsupervised image segmentation by implementing Rissanen's concept of Minimum Description Length for estimating piecewise homogeneous regions in images. MDL offers a mathematical ... -
Compressing Piecewise Smooth Multidimensional Functions Using Surflets: Rate-Distortion Analysis
(2004-03-01)Discontinuities in data often represent the key information of interest. Efficient representations for such discontinuities are important for many signal processing applications, including compression, but standard Fourier ... -
Compression of Higher Dimensional Functions Containing Smooth Discontinuities
(2004-03-01)Discontinuities in data often represent the key information of interest. Efficient representations for such discontinuities are important for many signal processing applications, including compression, but standard Fourier ... -
Geometric Methods for Wavelet-Based Image Compression
(2003-08-01)Natural images can be viewed as combinations of smooth regions, textures, and geometry. Wavelet-based image coders, such as the space-frequency quantization (SFQ) algorithm, provide reasonably efficient representations for ... -
Image Compression using an Efficient Edge Cartoon + Texture Model
(2002-04-01)Wavelet-based image coders optimally represent smooth regions and isolated point singularities. However, wavelet coders are less adept at representing perceptually important edge singularities, and coding performance ... -
Image Compression using Multiscale Geometric Edge Models
(2002-05-20)Edges are of particular interest for image compression, as they communicate important information, contribute large amounts of high-frequency energy, and can generally be described with few parameters. Many of today's most ... -
Multiscale Geometric Image Processing
(2003-07-01)Since their introduction a little more than 10 years ago, wavelets have revolutionized image processing. Wavelet based algorithms define the state-of-the-art for applications including image coding (JPEG2000), restoration, ... -
Multiscale Wedgelet Image Analysis: Fast Decompositions and Modeling
(2002-06-01)The most perceptually important features in images are geometrical, the most prevalent being the smooth contours ("edges") that separate different homogeneous regions and delineate distinct objects. Although wavelet based ... -
Rate-Distortion Optimized Image Compression using Wedgelets
(2002-06-01)Most wavelet-based image coders fail to model the joint coherent behavior of wavelet coefficients near edges. Wedgelets offer a convenient parameterization for the edges in an image, but they have yet to yield a viable ... -
Representation and Compression of Multi-Dimensional Piecewise Functions Using Surflets
(2006-03-01)We study the representation, approximation, and compression of functions in M dimensions that consist of constant or smooth regions separated by smooth (M-1)-dimensional discontinuities. Examples include images containing ... -
Surflets: A Sparse Representation for Multidimensional Functions Containing Smooth Discontinuities
(2004-07-01)Discontinuities in data often provide vital information, and representing these discontinuities sparsely is an important goal for approximation and compression algorithms. Little work has been done on efficient representations ... -
Wavelet-Domain Approximation and Compression of Piecewise Smooth Images
(2006-05-01)The wavelet transform provides a sparse representation for smooth images, enabling efficient approximation and compression using techniques such as zerotrees. Unfortunately, this sparsity does not extend to piecewise smooth ... -
Wavelet-domain Approximation and Compression of Piecewise Smooth Images
(2006)The wavelet transform provides a sparse representation for smooth images, enabling efficient approximation and compression using techniques such as zerotrees. Unfortunately, this sparsity does not extend to <i>piecewise ...
