Transition region determination based thresholding
Pattern Recognition Letters
Related approaches to gradient-based thresholding
Pattern Recognition Letters
Applied Mathematics and Computation
The Fractional Wave Packet Transform
Multidimensional Systems and Signal Processing - Special issue on recent developments in time-frequency analysis
Fractional Splines and Wavelets
SIAM Review
Multiresolution Textures from Image Sequences
IEEE Computer Graphics and Applications
Multiscale Texture Enhancement
CAIP '95 Proceedings of the 6th International Conference on Computer Analysis of Images and Patterns
Automatic 3D Model Acquisition from Uncalibrated Image Sequences
CGI '98 Proceedings of the Computer Graphics International 1998
A new IIR-type digital fractional order differentiator
Signal Processing - Special issue: Fractional signal processing and applications
A Mathematical Theory of Communication
A Mathematical Theory of Communication
Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies)
Directional enhancement in texture-based vector field visualization
Proceedings of the 4th international conference on Computer graphics and interactive techniques in Australasia and Southeast Asia
Texture enhanced appearance models
Computer Vision and Image Understanding
Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering
nth-order fractional Brownian motion and fractional Gaussian noises
IEEE Transactions on Signal Processing
Local orientation analysis in images by means of the Hermite transform
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
Image enhancement by nonlinear extrapolation in frequency space
IEEE Transactions on Image Processing
Gray and color image contrast enhancement by the curvelet transform
IEEE Transactions on Image Processing
The contourlet transform: an efficient directional multiresolution image representation
IEEE Transactions on Image Processing
Information measures based on fractional calculus
Information Processing Letters
Fractional zero-phase filtering based on the Riemann-Liouville integral
Signal Processing
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In this paper, we intend to implement a class of fractional differential masks with high-precision. Thanks to two commonly used definitions of fractional differential for what are known as Grümwald-Letnikov and Riemann-Liouville, we propose six fractional differential masks and present the structures and parameters of each mask respectively on the direction of negative x-coordinate, positive x-coordinate, negative y-coordinate, positive y-coordinate, left downward diagonal, left upward diagonal, right downward diagonal, and right upward diagonal. Moreover, by theoretical and experimental analyzing, we demonstrate the second is the best performance fractional differential mask of the proposed six ones. Finally, we discuss further the capability of multiscale fractional differential masks for texture enhancement. Experiments show that, for rich-grained digital image, the capability of nonlinearly enhancing complex texture details in smooth area by fractional differential-based approach appears obvious better than by traditional intergral-based algorithms.