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- Jorge Stol, Luiz Henrique de Figueiredo, Marcus Vinícius Melo de Andrade
- 1997

Preface This monograph is a set of course notes written for the 21 st Brazilian Mathematics Colloquium held at IMPA in July 1997. It gives an overview of the eld of self-validated… (More)

- Roberto Ierusalimschy, Luiz Henrique de Figueiredo, Waldemar Celes Filho
- Softw., Pract. Exper.
- 1996

This paper describes Lua, a language for extending applications. Lua combines procedural features with powerful data description facilities, by using a simple, yet powerful, mechanism of tables. This… (More)

- Luiz Henrique de Figueiredo, Jorge Stolfi
- Numerical Algorithms
- 2004

Affine arithmetic is a model for self-validated numerical computation that keeps track of first-order correlations between computed and input quantities. We explain the main concepts in affine… (More)

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… (More)

- Luiz Henrique de Figueiredo, Jorge Stolfi
- Comput. Graph. Forum
- 1996

We discuss adaptive enumeration and rendering methods for implicit surfaces , using octrees computed with aane arithmetic, a new tool for range analysis. AAne arithmetic is similar to standard… (More)

- Luiz Henrique de Figueiredo, Jonas Gomes
- The Visual Computer
- 2005

We prove that euclidean minimal spanning trees correctly reconstruct differentiable arcs from sufficiently dense samples. The proof is based on a combinatorial characterization of minimal spanning… (More)

We show that a simple modification of the power crust algorithm for surface reconstruction produces correct outputs in presence of noise. This is proved using a fairly realistic noise model. Our… (More)

- Luiz Henrique de Figueiredo, Jonas Gomes
- Computers & Graphics
- 1996

After reviewing three classical sampling methods for implicit objects, we describe a new sampling method that is not based on scanning the ambient space. In this method, samples are “randomly”… (More)

- Francisco Ganacim, Rodolfo S. Lima, Luiz Henrique de Figueiredo, Diego F. Nehab
- ACM Trans. Graph.
- 2014

We present a massively parallel vector graphics rendering pipeline that is divided into two components. The preprocessing component builds a novel adaptive acceleration data structure, the… (More)

- Luiz Henrique de Figueiredo
- Graphics Interface
- 1996