Image down/upsampling can give significant bit rate reduction with hardly noticeable quality degradation. This is attractive to our vision of realtime multiparty collaboration from distributed places with video data at HD resolution that must guarantee maximum end-to-end delay of 11.5ms to enable musical synchronization. Based on the Distributed Multimedia Plays architecture, this paper compare...

This paper derives strong relations that boundary curves of a smooth complex of patches have to obey when the patches are computed by local averaging. These relations restrict the choice of reparameterizations for geometric continuity. In particular, when one bicubic tensor-product B-spline patch is associated with each facet of a quadrilateral mesh with n-valent vertices and we do not want seg...

To improve the quality of recovered images, a selfembedding fragile watermarking scheme is proposed based on the bicubic prediction. To take into account the PFA and the watermark payload, the 6-bit recovery data of a 2×2 block and the 8-bit key-based data of a 4×4 block are generated and inserted in the other 2×2 block and 4×4 block based on secret key, respectively. The validity of a 2×2 imag...

Many data mining tasks can be reformulated as optimization problems, in the solution of which approximation by surfaces plays a key role. The paper proposes a new efficient computational algorithm for spline surfaces over uniform grids. The algorithm is based on a recent result on approximation of a biquartic polynomial by bicubic ones, that ensures C2 continuity of the corresponding four bicub...

.This paper is concerned with the range restricted interpolation of 'data on rectangular grids. The interpolant is constrained to lie on the same side of the constraint surface as the data. Sufficient non-negativity conditions on the Bezier ordinates are derived to ensure the non-negativity of a bicubic Bezier patch. The method modifies Bezier ordinates locally to fulfill the sufficient non-neg...

Image zooming is the process of enlarging the spatial resolution of a given digital image. We present a novel technique that intelligently modifies the classical pixel replication method for zooming. Our method decomposes a given image into layer of binary images, interpolates them by magnifying the binary patterns preserving their geometric shape and finally aggregates them all to obtain the z...

High-order cubic Hermite finite elements have been valuable in modeling cardiac geometry, fiber orientations, biomechanics, and electrophysiology, but their use in solving three-dimensional problems has been limited to ventricular models with simple topologies. Here, we utilized a subdivision surface scheme and derived a generalization of the "local-to-global" derivative mapping scheme of cubic...

We collsider IlOlving separable, second order. linear elliptic partial differential equations. If an elliptic problem is separable, then, for certain discretizations. the matrices involved in the corresponding discrete problem can be expressed in terms of tensor products of lower order matrices. In the most general case. the discrete problem can be written in the form (Al@Bz +81i&lA,2)C ==F. We...

In this paper, we propose a novel self-learning based single-image super-resolution (SR) method, which is coupled with dual-tree complex wavelet transform (DTCWT) based denoising to better recover high-resolution (HR) medical images. Unlike previous methods, this self-learning based SR approach enables us to reconstruct HR medical images from a single low-resolution (LR) image without extra tra...

Medical images play an important role in medical diagnosis and research. In this paper, a transfer learning- and deep learning-based super resolution reconstruction method is introduced. The proposed method contains one bicubic interpolation template layer and two convolutional layers. The bicubic interpolation template layer is prefixed by mathematics deduction, and two convolutional layers le...