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MAPPING LANDSLIDES IN LUNAR IMPACT CRATERS USING CHEBYSHEV POLYNOMIALS AND DEM’S
Planetary mapping Impact craters Landslides Chebyshev polynomials
2016/11/15
Geological slope failure processes have been observed on the Moon surface for decades, nevertheless a detailed and exhaustive lunar landslide inventory has not been produced yet. For a preliminary sur...
Tractable fitting with convex polynomials via sum-of-squares
Set data the sum of squares polynomial convex piecewise polynomial piecewise polynomial set
2015/8/10
We consider the problem of fitting given data(u1, y1),...,(um, ym) where ui ∈ Rn and yi ∈ R with a convex polynomial f. A technique to solve this problem using sum of squares polynomials is pres...
GEOMETRIC REASONING IN 3D BUILDING MODELS USING MULTIVARIATE POLYNOMIALS AND CHARACTERISTIC SETS
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2014/10/16
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
GEOMETRIC REASONING IN 3D BUILDING MODELS USING MULTIVARIATE POLYNOMIALS AND CHARACTERISTIC SETS
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2014/10/16
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
Freezing Transition, Characteristic Polynomials of Random Matrices, and the Riemann Zeta-Function
Freezing Transition Characteristic Polynomials Random Matrices the Riemann Zeta-Function
2012/2/24
We argue that the freezing transition scenario, previously explored in the statistical mechanics of 1/f-noise random energy models, also determines the value distribution of the maximum of the modulus...
Formation control of nonholonomic mobile robots using implicit polynomials and elliptic Fourier descriptors
Formation Coordination Autonomous Nonholonomic Implicit Polynomials Elliptic Fourier Descriptors
2010/10/12
This paper presents a novel method for the formation control of a group of nonholonomic mobile robots using implicit and parametric descriptions of the desired formation shape. The formation control s...
Geometric reasoning in 3D building models using multivariate polynomials and characteristic sets
geometric reasoning constraints theorem proving Wu’s method multivariate polynomials 3D building models
2016/4/11
In order to generate complex virtual cities, models of buildings have to be defined in advance. A common approach describes individual components of these buildings, which are in turn restricted by ge...
The comparison of elastic band and B-Spline polynomials methods in smoothing process of collision-free robot trajectory
Robotics Mechatronics NURBS curves
2010/2/4
Purpose: The main reason of this paper was to prepare the system, which tests the use of elastic band for smoothing the collision-free trajectory. The aided robot off-line programming system is based ...
A Technique for Improving the Performance of Median Smoothers at the Corners Characterized by Low Order Polynomials
Image filtering detail preservation median filters nonlinear filters order statistics filtering
2010/2/2
Median filters with larger windows offer greater
smoothing and are more robust than the median filters of smaller
windows. However, the larger median smoothers (the median filters
with the larger w...
A ROBUST METHOD USED WITH ORTHOGONAL POLYNOMIALS AND ROAD NETWORK FOR AUTOMATIC TERRAIN SURFACE EXTRACTION FROM LIDAR DATA IN URBAN AREAS
LIDAR DTM ALGORITHMS EXTRACTION
2015/6/1
The data provided by LIDAR systems are presented in a dense, accurate three-dimensional form without point classification, such as
buildings, trees roads, terrain, etc. The principal objective of th...