Homeomorphisms of finite distortion: discrete length of radial images

The Limit of W 1,1 Homeomorphisms with Finite Distortion

We show that the limit f of a weakly convergent sequence of W 1,1 homeomorphisms fj with finite distortion has finite distortion as well, provided that it is a homeomorphism. Moreover, the lower semicontinuity of the distortions is deduced both in case of outer and inner distortion.

Precise Radial Un-distortion of Images

Radial image distortion is a frequently observed defect when using wide angle, low focal length lenses. In this paper a new method for its calibration and removal is presented. An inverse distortion model is derived that is accurate to a sub-pixel level, over a broad range of distortion levels. An iterative technique for estimating the models parameters from a single view is also detailed. Resu...

On Finite Block-Length Quantization Distortion

We investigate the upper and lower bounds on the quantization distortions for independent and identically distributed sources in the finite block-length regime. Based on the convex optimization framework of the rate-distortion theory, we derive a lower bound on the quantization distortion under finite block-length, which is shown to be greater than the asymptotic distortion given by the ratedis...

Finite Length Discrete Matched Filters

Discrete Finite-Length Wall Slots