Differential Homography refers to the mathematical concept related to changes or differentials in homography. Homography is a transformation that maps points from one plane to another in projective geometry. It is commonly used in computer vision and image processing, especially in the context of image registration and stitching.

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Image Stitching and Rectification for Hand-Held Cameras

Image Stitching and Rectification for Hand-Held Cameras In this paper, we derive a new differential homography that can account for the scanline-varying camera poses in Rolling Shutter (RS) cameras, and demonstrate its application to carry out RS-aware image stitching and rectification at one stroke. Despite the high complexity of RS geometry, we focus in this paper on a special yet common input — two consecutive frames from a video stream, wherein the inter-frame motion is restricted from being arbitrarily large. This allows us to adopt simpler differential motion model, leading to a straightforward and practical minimal solver. To deal with non-planar scene and camera parallax in stitching, we further propose an RS-aware spatially-varying homogarphy field in the principle of As-Projective-As-Possible (APAP). We show superior performance over state-of-the-art methods both in RS image stitching and rectification, especially for images captured by hand-held shaking cameras.