The main issue in any image zooming techniques is to preserve the structure of the zoomed image. The zoomed image may suffer from the discontinuities in the soft regions and edges; it may contain artifacts, such as image blurring and blocky, and staircase effects. This paper presents a novel image zooming technique using Partial Differential Equations (PDEs). It combines a non-linear Fourth-ord...

This paper presents a general 8th-order PDE method to generate Bézier surfaces from the boundary with position and tangent vector information. We extend the work on generating biharmonic Bézier surfaces by Monterde to generating Bézier surfaces based on a general 4th-order PDE. And further the results are extended to generate tetraharmonic Bézier surfaces by a general 8th-order PDE. The solutio...

A compiler transformation to minimize the number of messages in PDE parallel iterative codes is presented. For the n-dimensional high-order PDE or second-order PDE using high-order finite differences, this transformation reduces the number of messages from as large as 3 − 1 to the minimum 2n.