Validation metric based on relative error

Displacement Based Error Metric for Morphodynamic Models

Estimating Relative Density on a Metric Space

Let X1,X2, . . ., be stationary and ergodic random variables with values in a metric space M with distance d, let P (A) = P (Xn ∈ A) and let S(x, r) = {y ∈ M : d(x, y) ≤ r}. Let M0 be the set of x for which P (S(x, r)) > 0 if r > 0, and suppose also that for x in M0, P (S(x, r)) is continuous in x and is differentiable in r for r ≥ 0, and with a positive derivative for all r in a neighborhood o...

Relative Error Control in Quantization Based Integration

This paper introduces a method to achieve reltive error control in Quantized State System (QSS) methods. Based on the use of logarithmic quantization, the proposed methodology solves the problem of quantum selection. Keywords— Quantization Based Integration, Continuous System Simulation.

Polyline Simpliication Using Quadric Error Metric with Bounded Error Polyline Simpliication Using Quadric Error Metric with Bounded Error Polyline Simpliication Using Quadric Error Metric with Bounded Error

We study the problem of polygonal line simpliication. The objective is to seek a polygonal line of smaller size that approximates the original one well. We present an algorithm that is based on edge contraction. An edge contraction merges two adjacent vertices into a new vertex and this new vertex will be made the new endpoint of the uncontracted edges incident to the two vertices merged. Thus,...

Algebraic Error Based Triangulation and Metric of Lines

Line triangulation, a classical geometric problem in computer vision, is to determine the 3D coordinates of a line based on its 2D image projections from more than two views of cameras with known projection matrices. Compared to point features, line segments are more robust to matching errors, occlusions, and image uncertainties. In addition to line triangulation, a better metric is needed to e...