We extend earlier work on the Orientation Field Transform as an effective method for enhancing curve like features in images. Whereas the original Orientation Field Transform was formulated for straight lines, we generalize the formalism to general curves, resulting in improved accuracy for detecting circular objects. The method only requires one parameter, the curve width, to be selected by th...

2 Sets S (bold line) and translations (dashed line) on the reciprocal lattice of the sampling scheme, i.e., S+2W ?t S k (left, W S is the standard sampling matrix) and S + 2W ?t I k (right, W I is the interlaced sampling matrix). Sampling the Radon transform with a rectangular scheme leads to a lattice in the Fourier space generated by ~ u 1 ; ~ u 2 (see left) for satisfying the non-overlapping...

a two dimensional generalized thermoelastic problem of a thick circular plate of finite thickness and infinite extent subjected to continuous axisymmetric heat supply and an internal heat generation is studied within the context of generalized thermoelasticity. unified system of equations for classical coupled thermoelasticity, lord-shulman and green-lindsay theory is considered. an exact solut...

Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$, where $alpha>-frac{1}{2}$ and $1