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DGCI
2005
Springer
14 years 1 months ago
Generalized Functionality for Arithmetic Discrete Planes
Naive discrete planes are well known to be functional on a coordinate plane. The aim of our paper is to extend the functionality concept to a larger family of arithmetic discrete ...
Valérie Berthé, Christophe Fiorio, D...
ICCS
2001
Springer
13 years 12 months ago
Discrete Local Fairing of B-Spline Surfaces
Many surfaces can be modeled by interpolating data points digitized from existing products. But the digitized data points could have measuring errors. To adjust the points, fairing...
Seok-Yong Hong, Chung-Seong Hong, Hyun-Chan Lee, K...
CP
1999
Springer
13 years 11 months ago
The Theory of Discrete Lagrange Multipliers for Nonlinear Discrete Optimization
In this paper we present a Lagrange-multiplier formulation of discrete constrained optimization problems, the associated discrete-space first-order necessary and sufficient condit...
Benjamin W. Wah, Zhe Wu
CDC
2008
IEEE
236views Control Systems» more  CDC 2008»
14 years 2 months ago
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems
Abstract— We relax the monotonicity requirement of Lyapunov’s theorem to enlarge the class of functions that can provide certificates of stability. To this end, we propose two...
Amir Ali Ahmadi, Pablo A. Parrilo
EMMCVPR
2011
Springer
12 years 7 months ago
Discrete Optimization of the Multiphase Piecewise Constant Mumford-Shah Functional
Abstract. The Mumford-Shah model has been one of the most powerful models in image segmentation and denoising. The optimization of the multiphase Mumford-Shah energy functional has...
Noha Youssry El-Zehiry, Leo Grady