Line-art illustration of dynamic and specular surfaces
ACM SIGGRAPH Asia 2008 papers
Multiperspective modeling, rendering, and imaging
ACM SIGGRAPH ASIA 2008 courses
Multiperspective distortion correction using collineations
ACCV'07 Proceedings of the 8th Asian conference on Computer vision - Volume Part I
Camera Models and Fundamental Concepts Used in Geometric Computer Vision
Foundations and Trends® in Computer Graphics and Vision
Annotating traditional Chinese paintings for immersive virtual exhibition
Journal on Computing and Cultural Heritage (JOCCH)
General linear cameras with finite aperture
EGSR'07 Proceedings of the 18th Eurographics conference on Rendering Techniques
Ray geometry in non-pinhole cameras: a survey
The Visual Computer: International Journal of Computer Graphics
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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 2-D 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.