|The common approach to radial distortion is by the means of polynomial approximation, which introduces distortion-speci c parameters into the camera model and requires estimation of these distortion parameters. The task of estimating radial distortion is to nd a radial distortion model that allows easy undistortion as well as satisfactory accuracy. This paper presents a new piecewise radial di...

Parameterization of 3D manifold mesh data involves embedding the mesh in some natural parametric domain, such as the plane or the sphere. Parameterization is important for many applications in geometry processing, including texture mapping, remeshing and morphing. The main objective is to generate a bijective mapping between the mesh surface and the parametric domain, which minimizes the distor...

For continuous sources the rate-distortion function has been found for a Laplace source with an absolute error distortion d(x, x̂) = |x x̂| [2], exponential source with absolute error distortion [3] and Gaussian source with square error distortion d(x, x̂) = |x x̂|2 [1]. In this paper, we will enlarge this set of known cases by considering the rate-distortion problem for generalized Gaussian (GG) d...

Minimum Spanning Trees of weighted graphs are fundamental objects in numerous applications. In particular in distributed networks, the minimum spanning tree of the network is often used to route messages between network nodes. Unfortunately, while being most efficient in the total cost of connecting all nodes, minimum spanning trees fail miserably in the desired property of approximately preser...

Most of current camera calibration methods for a non-metric digital camera adopt polynomials of image coordinates composed of terms representing the correction to the principal distance, the offsets of the principal point, the radial lens distortion, and the decentering lens distortion of the target camera as the image distortion model. However, there is no standard procedure to evaluate approp...

We propose two methods for avoiding the checkerboard distortion which is caused by finite word length error. The first method is deriving a bit length of filter taps required for avoiding the checkerboard distortion under a certain word length. In the second method, the checkerboard distortion can be avoided by using the cascade structure which consist of zero-hold kernel and a time-invariant f...

Shannon proved that if we can transmit bits reliably at rates larger than the rate distortion function R(D), then we can transmit this source to within a distortion D. We answer the converse question “If we can transmit a source to within a distortion D, can we transmit bits reliably at rates less than the rate distortion function?” in the affirmative. This can be viewed as a direct converse of...

We propose a unified view to deal with two formulations of image distortion and a method for estimating the distortion parameters for both of the formulations; So far the formulations have been developed separately. The proposed method is based on image registration and consists of nonlinear optimization to estimate parameters including view change and radial distortion. Experimental results de...

High-frequency distortion in bipolar transistors is examined by using the charge-control approach of Poon and Narayanan to connect the device’s distortion behavior to its “loaded” unity–current–gain frequency (^ ). The resulting expressions for the distortion reveal considerable information on its frequency and bias dependence. Points on the ^ versus collector current curve yielding optimum dis...

In this paper, we address the problem of recovering the camera radial distortion coefficients from one image. The approach that we propose uses a special kind of snakes called radial distortion snakes. Radial distortion snakes behave like conventional deformable contours, except that their behavior are globally connected via a consistent model of image radial distortion. Experiments show that r...