Results 1  10
of
2,027
FastSLAM: A Factored Solution to the Simultaneous Localization and Mapping Problem
 In Proceedings of the AAAI National Conference on Artificial Intelligence
, 2002
"... The ability to simultaneously localize a robot and accurately map its surroundings is considered by many to be a key prerequisite of truly autonomous robots. However, few approaches to this problem scale up to handle the very large number of landmarks present in real environments. Kalman filterbase ..."
Abstract

Cited by 599 (10 self)
 Add to MetaCart
The ability to simultaneously localize a robot and accurately map its surroundings is considered by many to be a key prerequisite of truly autonomous robots. However, few approaches to this problem scale up to handle the very large number of landmarks present in real environments. Kalman filter
The R*tree: an efficient and robust access method for points and rectangles
 INTERNATIONAL CONFERENCE ON MANAGEMENT OF DATA
, 1990
"... The Rtree, one of the most popular access methods for rectangles, is based on the heuristic optimization of the area of the enclosing rectangle in each inner node. By running numerous experiments in a standardized testbed under highly varying data, queries and operations, we were able to design the ..."
Abstract

Cited by 1262 (74 self)
 Add to MetaCart
and quadratic Rtree and Greene's variant of the Rtree. This superiority of the R*tree holds for different types of queries and operations, such as map overlay, for both rectangles and multidimensional points in all experiments. From a practical point of view the R*tree is very attractive because
EXERCISES IN THE BIRATIONAL GEOMETRY OF ALGEBRAIC VARIETIES
, 2008
"... The book [KM98] gave an introduction to the birational geometry of algebraic varieties, as the subject stood in 1998. The developments of the last decade made the more advanced parts of Chapters 6 and 7 less important and the detailed treatment of surface singularities in Chapter 4 less necessary. H ..."
Abstract

Cited by 322 (1 self)
 Add to MetaCart
applications. 1. Birational classification of algebraic surfaces For more detail, see [BPVdV84]. The theory of algebraic surfaces rests on the following three theorems. Theorem 1. Any birational morphism between smooth projective surfaces is a composite of blowdowns to points. Any birational map between
Torification and factorization of birational maps
, 1999
"... Building on work of the fourth author in [68], we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero ..."
Abstract

Cited by 131 (5 self)
 Add to MetaCart
Building on work of the fourth author in [68], we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero
Large scale multiple kernel learning
 JOURNAL OF MACHINE LEARNING RESEARCH
, 2006
"... While classical kernelbased learning algorithms are based on a single kernel, in practice it is often desirable to use multiple kernels. Lanckriet et al. (2004) considered conic combinations of kernel matrices for classification, leading to a convex quadratically constrained quadratic program. We s ..."
Abstract

Cited by 340 (20 self)
 Add to MetaCart
While classical kernelbased learning algorithms are based on a single kernel, in practice it is often desirable to use multiple kernels. Lanckriet et al. (2004) considered conic combinations of kernel matrices for classification, leading to a convex quadratically constrained quadratic program. We
Dynamics of birational maps of P2
 Indiana U. Math. J
, 1996
"... Abstract. Inspired by work done for polynomial automorphisms, we apply pluripotential theory to study iteration of birational maps of P2. A major theme is that success of pluripotential theoretic constructions depends on separation between orbits of the forward and backward indeterminacy sets. In p ..."
Abstract

Cited by 11 (3 self)
 Add to MetaCart
Abstract. Inspired by work done for polynomial automorphisms, we apply pluripotential theory to study iteration of birational maps of P2. A major theme is that success of pluripotential theoretic constructions depends on separation between orbits of the forward and backward indeterminacy sets
BIRATIONAL MAPS THAT SEND BIQUADRATIC CURVES TO BIQUADRATIC CURVES
"... Abstract. Recently, many papers have begun to consider socalled nonQRT birational maps of the plane. Compared to the QRT family of maps which preserve each biquadratic curve in a fibration of the plane, nonQRT maps send a biquadratic curve to another biquadratic curve belonging to the same fibra ..."
Abstract
 Add to MetaCart
Abstract. Recently, many papers have begun to consider socalled nonQRT birational maps of the plane. Compared to the QRT family of maps which preserve each biquadratic curve in a fibration of the plane, nonQRT maps send a biquadratic curve to another biquadratic curve belonging to the same
Birational cobordisms and factorization of birational maps
, 1999
"... In this paper we develop a Morselike theory in order to decompose birational maps and morphisms of smooth projective varieties defined over a field of characteristic zero into more elementary steps which are locally étale isomorphic to equivariant flips, blowups and blowdowns of toric varieties ( ..."
Abstract
 Add to MetaCart
In this paper we develop a Morselike theory in order to decompose birational maps and morphisms of smooth projective varieties defined over a field of characteristic zero into more elementary steps which are locally étale isomorphic to equivariant flips, blowups and blowdowns of toric varieties
An Efficient Representation for Irradiance Environment Maps
, 2001
"... We consider the rendering of diffuse objects under distant illumination, as specified by an environment map. Using an analytic expression for the irradiance in terms of spherical harmonic coefficients of the lighting, we show that one needs to compute and use only 9 coefficients, corresponding to th ..."
Abstract

Cited by 215 (10 self)
 Add to MetaCart
We consider the rendering of diffuse objects under distant illumination, as specified by an environment map. Using an analytic expression for the irradiance in terms of spherical harmonic coefficients of the lighting, we show that one needs to compute and use only 9 coefficients, corresponding
www.scielo.br/aabc On the Monomial Birational Maps of the Projective Space
, 2002
"... presented by Aron Simis We describe the group structure of monomial Cremona transformations. It follows that every element of this group is a product of quadratic monomial transformations, and geometric descriptions in terms of fans. Key words: monomial birational maps, toric varieties. 1. ..."
Abstract
 Add to MetaCart
presented by Aron Simis We describe the group structure of monomial Cremona transformations. It follows that every element of this group is a product of quadratic monomial transformations, and geometric descriptions in terms of fans. Key words: monomial birational maps, toric varieties. 1.
Results 1  10
of
2,027