The convolution between co-polarization amplitude only data is studied to improve ship detection performance. The different statistical behaviors of ships and surrounding ocean are characterized a by two-dimensional convolution function (2D-CF) between different polarization channels. The convolution value of the ocean decreases relative to initial data, while that of ships increases. Therefore...

Conventional deep convolutional neural networks (CNNs) apply convolution operators uniformly in space across all feature maps for hundreds of layers this incurs a high computational cost for real time applications. For many problems such as object detection and semantic segmentation, we are able to obtain a low-cost computation mask, either from a priori problem knowledge, or from a low resolut...

Given two planar curves, a convolution curve is computed by applying vector sums to all pairs of curve points which have the same curve normal direction. The convolution curve can be used to compute Minkowski sum of two planar objects which is important in various geometric computations such as collision detection and font design. In this paper, we present an algorithm to generate a conic appro...

This paper presents a scheme for performing convolution operation directly on compressed images without decompressing them first. The use of such a scheme is demonstrated and discussed by showing the implementation of the Laplacian-of-Gaussian operator for edge detection. We present a complete evaluation of the different parameters involved in this process and show edge detection results on sev...

Given two planar curves, their convolution curve is defined as the set of all vector sums generated by all pairs of curve points which have the same curve normal direction. The Minkowski sum of two planar objects is closely related to the convolution curve of the two object boundary curves. That is, the convolution curve is a superset of the Minkowski sum boundary. By eliminating all redundant ...

Given two planar curves, their convolution curve is defined as the set of all vector sums generated by all pairs of curve points which have the same curve normal direction. The Minkowski sum of two planar objects is closely related to the convolution curve of the two object boundary curves. That is, the convolution curve is a superset of the Minkowski sum boundary. By eliminating all redundant ...

The data transmission in any wireless communication system is affected by attenuation, interference, noise and distortion which affect the receiver’s ability to receive the correct information. The Convolution encoder and viterbi decoder are good forward error detection and correcting codes for a channel, which is affected by noise. The convolution encoder is used for correction of errors at th...

We present new methods to approximate the ooset and con-volution of planar curves. These methods can be used as fundamental tools in various geometric applications such as NC machining and collision detection of planar curved objects. Using quadratic curve approximation and tangent eld matching, the ooset and convolution curves can be approximated by polynomial or rational curves within the tol...

the weighted semigroup algebra mb (s, w) is studied via its identification with mb (s) together with a weighted algebra product *w so that (mb (s, w), *) is isometrically isomorphic to (mb (s), *w). this identification enables us to study the relation between regularity and amenability of mb (s, w) and mb (s), and improve some old results from discrete to general case.

Convolution is an important mathematical tool in both fields of signal and image processing. It is employed in filtering [1, 2], denoising [3], edge detection [4, 5], correlation [6], compression [7, 8], deconvolution [9, 10], simulation [11, 12], and in many other applications. Although the concept of convolution is not new, the efficient computation of convolution is still an open topic. As t...