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Geometric Approach to Measure-Based Metric in Image Segmentation
Image segmentation Measure-based metric Geometric functional Gamma-convergence Minimal surfaces
2010/1/8
Abstract The Mumford-Shah functional and related algorithms for image segmentation involve a tradeoff between a two-dimensional image structure and one-dimensional parametric curves (contours) that su...
Two-Dimensional Affine Frame for Image Analysis and Synthesis
Two-Dimensional Affine Frame Image Analysis Synthesis
2010/1/8
An affine-group-based design methodology of Gabor-type filter bank is presented for the purpose of image analysis and synthesis. Various tessellations of the combined spatial-feature space are conside...
A Geometric-Functional-Based Image Segmentation and Inpainting
Geometric-Functional-Based Image Segmentation Inpainting
2010/1/8
The Mumford-Shah functional minimization, and related algorithms for image segmentation, involve a tradeoff between a twodimensional image structure and one-dimensional parametric curves (contours) th...
In signal processing, communications, and other branches of information technologies, it is often desirable to map the higher-dimensional signals on Sn. In this article we introduce a novel method of ...
Geometric Sampling of Manifolds for Image Representation and Processing
Geometric Sampling Manifolds Image Representation and Processing
2010/1/8
It is often advantageous in image processing and computer vision to consider images as surfaces imbedded in higher dimensional manifolds. It is therefore important to consider the theoretical and appl...
Image Enhancement and Denoising by Complex Diffusion Processes
Scale-space image filtering image denoising image enhancement nonlinear diffusion complex diffusion edge
2010/1/7
The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schro¨dinger equation. A fu...
Image Enhancement and Denoising by Complex Diffusion Processes
Scale-space image filtering image denoising image enhancement nonlinear diffusion complex diffusion edge
2010/1/7
The linear and nonlinear scale spaces, generated by the inherently real-valued diffusion equation, are generalized to complex diffusion processes, by incorporating the free Schro¨dinger equation. A fu...
Image Sharpening by Flows Based on Triple Well Potentials
image filtering image enhancement image sharpening,nonlinear diffusion hyperdiffusion variational image processing
2010/1/7
Image sharpening in the presence of noise is formulated as a non-convex variational problem. The energy functional incorporates a gradient-dependent potential, a convex fidelity criterion and a high o...
Image Sharpening by Flows Based on Triple Well Potentials
image filtering image enhancement image sharpening,nonlinear diffusion hyperdiffusion variational image processing
2010/1/7
Image sharpening in the presence of noise is formulated as a non-convex variational problem. The energy functional incorporates a gradient-dependent potential, a convex fidelity criterion and a high o...
Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising
Adaptive denoising anisotropic diffusion Beltrami flow color processing image enhancement inverse diffusion scale–space
2010/1/7
Signal and image enhancement is considered in the context of a new type of diffusion process that simultaneously enhances,sharpens,and denoises images.The nonlinear diffusion coefficient
is locally a...
Forward-and-Backward Diffusion Process for Adaptive Image Enhancement and Denoising
Adaptive denoising anisotropic diffusion Beltrami flow color processing image enhancement inverse diffusion scale–space
2010/1/7
Signal and image enhancement is considered in the context of a new type of diffusion process that simultaneously enhances,sharpens,and denoises images.The nonlinear diffusion coefficient
is locally a...
Complex Difusion Processes for Image Filtering
Complex Difusion Processes Image Filtering Scale-space complex diffusion
2010/1/7
framework that naturally unifies smoothing and enhancement processes is presented. We generalize the linear and nonlinear scale spaces in the complex domain, by combining the diffusion equation with ...
Complex Difusion Processes for Image Filtering
Complex Difusion Processes Image Filtering Scale-space complex diffusion
2010/1/7
framework that naturally unifies smoothing and enhancement processes is presented. We generalize the linear and nonlinear scale spaces in the complex domain, by combining the diffusion equation with ...
Color Image Enhancement by Forward-and-Backward Adaptive Beltrami Flow
Color Image Enhancement Forward-and-Backward Adaptive Beltrami Flow inverse diffusion
2010/1/7
The Beltrami diffusion-type process, reformulated for the purpose of image processing, is generalized to an adaptive forward-andbackward process and applied in localized image features’ enhancement an...
Color Image Enhancement by Forward-and-Backward Adaptive Beltrami Flow
Color Image Enhancement Forward-and-Backward Adaptive Beltrami Flow inverse diffusion
2010/1/7
The Beltrami diffusion-type process, reformulated for the purpose of image processing, is generalized to an adaptive forward-andbackward process and applied in localized image features’ enhancement an...