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Now showing 1 - 3 of 3
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    Image Warping Using Few Anchor Points and Radial Functions
    (Blackwell Science Ltd and the Eurographics Association, 1995) Arad, Nur; Reisfeld, Daniel
    Transformations based on radial basis junctions have proven to be a powerful tool in image warping. In the present work we decompose these transformations into linear and radial terms, and show examples where such a decomposition is advantageous. Locally supported basis functions are introduced. Several applications are demonstrated, and a comparison with other warping techniques is carried out. Finally, some fine points of image warping are discussed.
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    Isometric Texture Mapping for Free-form Surfaces
    (Blackwell Publishers Ltd and the Eurographics Association, 1997) Arad, Nur; Elber, Gershon
    Texture mapping is a frequently exploited technique in computer graphics aimed at the emulation of high-resolution details in surfaces. In this paper we present a distance-ratios preservation method for bivariate raster texture mapping to free-form surfaces in an arbitrarily precise manner. The proposed method reduces the original general problem of computing the inverse of a three-dimensional parametric surface mapping into a problem of two-dimensional image warping. Several examples that demonstrate the proposed approach are also provided.
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    Designing and Implementing a Grid-Distortion Mapping Based on Variational Principles
    (Blackwell Science Ltd and the Eurographics Association, 1994) Arad, Nur
    A grid-distortion mapping based on variational principles is described. The mapping is first defined between any two equivalent regular grids with minor geometric restrictions, and is then optimally extended to the interior of the source grid in a sense to be defined. The result is independent of the particular representation of the curves, and depends only on geometric properties of the grids. We then proceed to construct an approximation to the mapping defined and demonstrate its implementation. Finally, this algorithm is compared to several competing ones, in particular separable (scanline) algorithms.