image Hermite interpolation with simple planar PH curves by speed reparametrization Original Research Article

We introduce a new method of solving image Hermite interpolation problems, which makes it possible to use a wider range of PH curves with potentially better shapes. By characterizing PH curves by roots of their hodographs in the complex representation, we introduce PH curves of type image. Next, we introduce a speed reparametrization. Finally, we show that, for image Hermite data, we can use PH curves of type image or strongly regular PH quintics satisfying the image reduction of image data, and use these curves to solve the original image Hermite interpolation problem.