Yanyan Li, Louis Nirenberg, Dedicated Djairo, De Figueiredo
The well-known inequality refers to a nonnegative C 2 function u defined on an interval (−R, R). The inequality is in:
Interval methods for ray casting implicit surfaces with affine arithmetic (2008)
Affonso De, Cusatis Junior, Luiz Henrique, De Figueiredo, Marcelo Gattass
Abstract. We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of interval...
Approximating Parametric Curves with Strip Trees using Affine Arithmetic (2008)
Luiz Henrique, De Figueiredo, Jorge Stolfi, Luiz Velho
Abstract. We show how to use affine arithmetic to represent a parametric curve with a strip tree. The requiredbounding rectangles for pieces of the curve are computed by exploiting the linear...
Received (Day Month Year) Revised (Day Month Year) Accepted (Day Month Year) (2008)
Emilio Ashton, Vital Brazil, Luiz Henrique, De Figueiredo, Communicated (xxxxxxxxxx
We describe a heuristic method for reconstructing a region in the plane from a noisy sample of points. The method uses radial basis functions with Gaussian kernels to compute a fuzzy membership...
Interval Methods for Ray Casting Implicit Surfaces with Affine Arithmetic (2007)
Affonso De, Cusatis Junior, Luiz Henrique, De Figueiredo, Marcelo Gattass
Abstract. We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of interval...
Computing Arrangements Of Implicit Curves (2007)
Paulo Cezar Carvalho, Luiz Henrique, De Figueiredo, PAULO ROMA CAVALCANTI
this paper is to find, whenever possible, the exact topology determined by a set of implicit curves, without having to resort to polygonal approximations. It is important to distinguish exact...
Approximating Parametric Curves with Strip Trees using Affine Arithmetic (2007)
Luiz Henrique, De Figueiredo, Jorge Stolfi
Abstract. We show how to use affine arithmetic to represent a parametric curve with a strip tree. The required bounding rectangles for pieces of the curve are computed by exploiting the linear...
JO AO BATISTA OLIVEIRA 2 (2007)
H Elio Lopes, Luiz Henrique, De Figueiredo
Abstract. We present an algorithm for computing a robust adaptive polygonal approximation of an implicit curve in the plane. The approximation is adapted to the geometry of the curve because the...
JO AO BATISTA OLIVEIRA 2 (2007)
H Elio Lopes, Luiz Henrique, De Figueiredo
Abstract. We present an algorithm for computing a robust adaptive polygonal approximation of an implicit curve in the plane. The approximation is adapted to the geometry of the curve because the...
INTERVAL COMPUTATION OF VISWANATH'S CONSTANT (2007)
Jo Ao, Batista S. De, Luiz Henrique, De Figueiredo
Abstract. Viswanath has shown that the terms of the random Fibonacci sequences dened by t 1 = t 2 = 1, and t n = tn 1 t n 2 for n> 2, where each sign is chosen randomly, increase exponentially in...
H.: Moving least squares multiresolution surface approximation (2003)
Boris Mederos, Luiz Velho, Luiz Henrique, De Figueiredo
Abstract. We describe a new method for surface reconstruction based on unorganized point clouds without normals. We also present a new algorithm for refining the initial triangulation. The output of...
Moving Least Squares Multiresolution Surface Approximation (2003)
Boris Mederos Luiz, Luiz Velho, Luiz Henrique, De Figueiredo
We describe a new method for surface reconstruction based on unorganized point clouds without normals. We also present a new algorithm for refining the inital triangulation. The output of the method...
H.: Moving least squares multiresolution surface approximation (2003)
Boris Mederos, Luiz Velho, Luiz Henrique, De Figueiredo
Abstract. We describe a new method for surface reconstruction based on unorganized point clouds without normals. We also present a new algorithm for refining the inital triangulation. The output of...
Butterworth - and Chebyshev-Related Splines. (2002)
Two generalized splines, called respectively Butterworth and Chebyshev splines, are introduced; a constrained minimum norm property of a general class of splines (Butterworth- and Chebyshev-related...
Design of Optimal Feature Extractors by Mathematical Programming Techniques. (2002)
In an automatic pattern recognition system, the processor that selects and measures features of the data, on the basis of which classification is made, is called a 'feature selector' or 'feature...
Approximating Parametric Curves with Strip Trees using Affine Arithmetic (2002)
Luiz Henrique De, De Figueiredo, Jorge Stolfi, Luiz Velho
We show how to use affine arithmetic to represent a parametric curve with a strip tree. The required bounding rectangles for pieces of the curve are computed by exploiting the linear correlation...
Robust Approximation of Offsets and Bisectors of Plane Curves (2000)
Jo Ao Batista, S. De Oliveira, Luiz Henrique, De Figueiredo
Most methods for computing offsets and bisectors of parametric curves are based on a local formulation of the distance to a curve. As a consequence, the computed objects may contain spurious parts...
Interval Methods for Ray Casting Implicit Surfaces with Affine Arithmetic (1999)
Affonso De Cusatis, Affonso De, Cusatis Junior, Luiz Henrique, De Figueiredo, Marcelo Gattass
We study the performance of affine arithmetic as a replacement for interval arithmetic in interval methods for ray casting implicit surfaces. Affine arithmetic is a variant of interval arithmetic...
On the Superlinear Ambrosetti-Prodi Problem. (1998)
This paper establishes the existence of two solutions for some problems of the Ambrosetti-Prodi type. The following result is a sample of the results. The author uses the method of monotone...
Texturing composite deformable implicit objects (1998)
Ruben Zonenschein, Jonas Gomes, Luiz Velho, Luiz Henrique, De Figueiredo, Mark Tigges, ...
Abstract. In this paper we present a method for applying 2D textures onto composite and articulated objects defined by implicit functions. The method generates a particle system associated with the...
Texturing Composite Deformable Implicit Objects (1998)
Ruben Zonenschein, Jonas Gomes, Luiz Velho, Luiz Henrique, De Figueiredo, ...
. In this paper we present a method for applying 2D textures onto composite and articulated objects defined by implicit functions. The method generates a particle system associated with the gradient...
Luiz Henrique, De Figueiredo, Ronald Van Iwaarden, Jorge Stolfi
We show that faster solutions to unconstrained global optimization problems can be obtained by combining previous accelerations techniques for interval branch-and-bound methods with affine...
Optimal adaptive polygonal approximation of parametric surfaces (1996)
Luiz Velho, Luiz Henrique, De Figueiredo
Abstract. We present a new method for adaptive polygonization of parametric surfaces. The method combines recursive simplicial subdivision of the domain and point sampling along curves on the...
Optimal adaptive polygonal approximation of parametric surfaces (1996)
Luiz Velho, Luiz Henrique, De Figueiredo
Abstract. We present a new method for adaptive polygonization of parametric surfaces. The method combines recursive simplicial subdivision of the domain and point sampling along curves on the...
Texturing Composite Deformable Implicit Objects
Ruben Zonenschein Jonas, Jonas Gomes, Luiz Velho, Luiz Henrique, De Figueiredo, Mark Tigges, ...
. In this paper we present a method for applying 2D textures onto composite and articulated objects defined by implicit functions. The method generates a particle system associated with the gradient...