Warping Beethoven I

Tien-Tsin Wong, Chi-Wing Fu and Pheng-Ann Heng. "Warping Beethoven I", Technical Slide, SIGGRAPH'99.



McMillian proposed an image warping technique for view interpolation. It can correctly resolve the visibility problem (several pixels mapped to the same location) WITHOUT DEPTH BUFFERING. The problem is solved by drawing pixel in some order. However it works for warping pixel-sized entities only. Hence it is computationally intensive. Instead of warping image in a pixel-by-pixel manner, we have developed an efficient warping technique which warps image in a triangle-by-triangle manner. It is based on epipolar geometry. The visibility is solved by drawing arbitrary-sized triangles in a specific order while no depth-buffering is required. The drawing order is determined by the linear-time O(n) topological sort. The technique is first applied to warp a given perspective image. The upper left image is the reference perspective image. The correctness can be verified by the lower left image (warped Beethoven). Note how the protrusive Beethoven occludes the vertical plane behind. The right column shows the corresponding triangulation and the drawing order. The darker the color of the triangle is, the earlier the triangle should be drawn. The upper right image shows a random drawing order (random darkness) because the drawing order is irrelevant for the original image.

Hardware: Any UNIX platform.
Software: Experimental image warping prototype

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