Tiago Novello de Brito

I am a postdoctoral researcher at IMPA under the supervision of Luiz Velho. I obtained my Ph.D. in applied mathematics at Pontifical Catholic University of Rio de Janeiro, advised by Carlos Tomei and João Paixão. My thesis introduced the discrete line fields as an extension of Forman's discrete Morse theory.

I received my M.Sc. degree in Mathematics at Universidade Federal de Alagoas, supervised by Thales Miranda and Dimas Martínez with an emphasis on discrete differential geometry.

Projects

Differentiable Neural Implicits

Vinícius da Silva, Hélio Lopes, Guilherme Shardong, Luiz Schirmer, and Luiz Velho,.

IMPA, 2021.

Ray VR

Luiz Velho and Vinícius da Silva,

IMPA, 2019.

Publications

GPU Ray Tracing in Non-Euclidean Spaces

Tiago Novello, Vinícius da Silva, Luiz Velho

Morgan and Claypool, 2022.

[book]

How to see the eight Thurston geometries

Tiago Novello, Vinícius da Silva, Luiz Velho, Mikhail Belolipetsky

Ensaios Matemáticos, 2021.

[paper in arXiv][published version]

Neural Networks for Implicit Representations of 3D Geometry

Luiz Schirmer, Guilherme Schardong, Vinícius da Silva, Tiago Novello, Daniel Yukimura, Thales Magalhaes, Hallison Paz, Hélio Lopes, Luiz Velho

Tutorial, SIBGRAPI, 2021.

[paper][youtube]

Visualizing Thurston’s Geometries

Tiago Novello, Vinícius da Silva, and Luiz Velho

Editora do IMPA, 2021.

[book][course]

Real-time rendering of complex fractals

Vinícius da Silva, Tiago Novello, Hélio Lopes, and Luiz Velho

Ray Tracing Gems II, chapter 33, 2021.

[paper][website]

Discrete line fields on surface

Tiago Novello, João Paixão, Carlos Tomei, and Thomas Lewiner

Topology and its Applications, 2021.

[paper in arXiv][published version]

Proceduray -- A light-weight engine for procedural primitive ray tracing

Vinícius da Silva, Tiago Novello, Hélio Lopes, and Luiz Velho

arXiv, 2020.

[paper][website]

Visualization of Nil, Sol, and SL2 Geometries

Tiago Novello, Vinícius da Silva, and Luiz Velho

Computers & Graphics, 2020.

[paper][website]

Design and visualization of Riemannian metrics

Tiago Novello, Vinícius da Silva, and Luiz Velho

arXiv, 2020.

Illustrating Mathematics, chapter Video and Virtual Reality, Pg 71, AMS

Tiago Novello, Vinícius da Silva, and Luiz Velho

Discrete line fields on surface

PhD Thesis, advised by Carlos Tomei and João Paixão,

PUC-Rio, 2018.

[thesis][paper in arXiv][published version]

Discrete gradient line fields on surfaces

Thomas Lewiner, João Paixão and Carlos Tomei

arXiv, 2017

Greedy Morse matchings and discrete smoothness

Joao Lagoas, Thomas Lewiner, and Joao Paixao

arXiv, 2017

Computing ridges lines on GPU

Thiago Gomes, Thales Vieira, Rodrigo de Toledo and Thomas Lewiner

Researchgate, 2018

Computing the lines of curvature on mesh of triangles without parametrization using discrete geodesics

Masters Thesis, advised by Thales Miranda and Dimas Martínez,

UFAL , 2014

Application of differential equation of first order with geometric approach in mathematics course at FECILCAM

Graduation Thesis, advised by Valdete Coqueiro and Rosangela Teixeira

FECILCAM, 2011


Differential equations applied in compartiment models

Valdete Coqueiro and Rosangela Teixeira

Encontro de Produção Científica e Tecnológica, 2011

Research interests

  • Computational topology and geometry;

  • Discrete Morse theory;

  • Discrete differential geometry;

  • Visualization.

  • Neural implicits

Collaborators

Teaching

2018.2

Introduction to computer graphics at Universidade Federal do Rio de Janeiro, Brazil

Calculus at Universidade Federal do Rio de Janeiro, Brazil


2018.1

Introduction to computer graphics at Universidade Federal do Rio de Janeiro, Brazil

Combinatorics at Universidade Federal do Rio de Janeiro, Brazil


2014.1

Multivariable calculus (laboratory) at Pontifícia Universidade Católica, Rio de Janeiro, Brazil

My profile

By IMPA and UNESPAR

Contact

E-mail: tiago.novello90@gmail.com

Mailing Address:

IMPA

Estrada Dona Castorina, 110

Jardim Botânico | CEP 22460-320

Rio de Janeiro, RJ - Brasil