EPLA-DSTree: Extending Piecewise Linear Approximation on a Dynamic Segmentation Tree Index in Sensor-cloud Systems

Segmentation/Reconstruction of Range Images Based on Piecewise-Linear Approximation

A technique for segmenting and reconstructing range images of polyhedral objects is presented. A piecewise-linear approximation based on a triangulation of the image is computed rst. Optimization techniques are applied next to detect jump and crease edges, to eliminate false boundaries, and to merge nearly coplanar triangles into larger polygonal patches.

Piecewise Constant Controlled Linear Fuzzy Systems

Piecewise Linear Orthogonal Approximation

We derive Sobolev-type inner products with respect to which hat functions on arbitrary triangulations of domains in R are orthogonal. Compared with linear interpolation, the resulting approximation schemes yield superior accuracy at little extra cost.

On the Approximation of Pseudo Linear Systems by Linear Time Varying Systems (RESEARCH NOTE)

This paper presents a modified method for approximating nonlinear systems by a sequence of linear time varying systems. The convergence proof is outlined and the potential of this methodology is discussed. Simulation results are used to show the effectiveness of the proposed method.

A Study on Piecewise Linear Approximation in the L1 Optimal Control Problem of Sampled-Data Systems

This paper studies a mathematical basis of piecewise linear approximation in the L1 optimal control problem of sampled-data systems, which aims at minimizing the L∞induced norm of sampled-data systems. To take into account of intersample behavior, we first consider the lifted representation of sampled-data systems. The sampling interval [0, h) is then divided into M subintervals with an equal w...