This paper describes two digital implementations of a new mathematical transform, namely, the second generation curvelet transform [12, 10] in two and three dimensions. The first digital transformation is based on unequally-spaced fast Fourier transforms (USFFT) while the second is based on the wrapping of specially selected Fourier samples. The two implementations essentially differ by the cho...

Obtaining seismic images with good quality in hardrock environments has been challenging. This condition applies to many mineral explorations using seismic methods including our study area where the data quality is strongly affected by soft, near-surface materials and a reflector with low contrast in rock physical properties. Until recently, no effective processing has been applied to the seism...

This paper presents discrete curvelet transform (DCvT) based block level handwritten script

Tracking object from video sequences has become a very popular problem in the field of computer vision. Many algorithms have been proposed to solve this problem. Combined with the energy of curvelet coefficients and Kalman filter method, a new object tracking algorithm is proposed based on fast discrete curvelet transform. Firstly, this algorithm is initialized with the establishment of a movin...

We develop a unifying perspective on several decompositions exhibiting directional parabolic scaling. In each decomposition, the individual atoms are highly anisotropic at fine scales, with effective support obeying the parabolic scaling principle length ≈ width. Our comparisons allow to extend Theorems known for one decomposition to others. We start from a Continuous Curvelet Transform f → Γf ...

Continuity along reflectors in seismic images is used via Curvelet representation to stabilize the convolution operator inversion. The Curvelet transform is a new multiscale transform that provides sparse representations for images that comprise smooth objects separated by piece-wise smooth discontinuities (e.g. seismic images). Our iterative Curvelet-regularized deconvolution algorithm combine...

Although Fourier and Wavelet Transform have been widely used for texture classification methods in medical images, the discrimination performance of FDCT has not been investigated so far in respect to breast cancer detection. Ιn this paper, three multi-resolution transforms, namely the Discrete Wavelet Transform (DWT), the Stationary Wavelet Transform (SWT) and the Fast Discrete Curvelet Transf...

The Digital Curvelet Transform provides near-optimal reconstruction of twice-continuously differentiable (C) curves. Previous implementations of the algorithm have not exploited newer technologies in modern processors, including the MMX and SSE instruction sets. Various optimization techniques were used on a form of the Digital Curvelet Transform resulting in the fastest Curvelet Transform curr...

Image Fusion is a combination of two or more different images. It extracts the information from multiple source images. Wavelet based image fusion is suitable for representing the point singularities in one dimensions, but it fails to represent the edges across the curves in two dimensions. In this method, pixel level fusion based on curvelet transform detects the discontinuities across the cur...