We present theories of multiperspective projection and collineation. Given an arbitrary multiperspective imaging system that captures smoothly varying set of rays, we show how to map the rays onto a 2D ray manifold embedded in a 4D linear vector space. The characteristics of this imaging system, such as its projection, collineation, and image distortions can be analyzed by studying the 2D tangent planes of this ray manifold. These tangent planes correspond to the recently proposed general linear camera (GLC) model. In this paper, we study the imaging process of the GLCs. We show the GLC imaging process can be broken down into two separate stages: the mapping of 3D geometry to rays and the sampling of those rays over an image plane. We derive a closed-form solution to projecting 3D points in a scene to rays in a GLC. A GLC image is created by sampling these rays over an image plane. We develop a notion of GLC collineation analogous to pinhole cameras. GLC collineation describes the transformation between the images of a single GLC due to changes in sampling and image plane selection. We show that general GLC collineations can be characterized by a quartic (4th order) rational function. GLC projection and collineation provides a basis for developing new computer vision algorithms suitable for analyzing a wider range of imaging systems than current methods, based on simple pinhole projection models, permit.


    Zugriff

    Zugriff prüfen

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Multiperspective projection and collineation


    Beteiligte:
    Jingyi Yu, (Autor:in) / McMillan, L. (Autor:in)


    Erscheinungsdatum :

    01.01.2005


    Format / Umfang :

    412305 byte





    Medientyp :

    Aufsatz (Konferenz)


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Multiperspective Projection and Collineation

    Yu, J. / McMillan, L. / IEEE | British Library Conference Proceedings | 2005


    Multiperspective autostereoscopic display

    Little, G.R. / Gustafson, S.C. / Nikolaou, V.E. | Tema Archiv | 1994


    Modelling reflections via multiperspective imaging

    Jingyi Yu, / McMillan, L. | IEEE | 2005


    Self-organized ridesharing: Multiperspective annotated review

    Shoshany Tavory, Sharon / Trop, Tamar / Shiftan, Yoram | Taylor & Francis Verlag | 2020


    Multiperspective Distortion Correction Using Collineations

    Ding, Yuanyuan / Yu, Jingyi | Springer Verlag | 2007