SURVEY ON VISUALIZATION OF IMPLICIT SURFACES
Bruno Rodrigues de Araújo,
Instituto Superior Técnico –
Implicit Surfaces are a popular mathematical model used in Computer Graphics to represent shapes used for Modeling, Animation, Scientific Simulation and Visualization.Implicit surfaces provide a smoother and compact model requiring few high-level primitives to describe free-form surfaces becoming a suitable alternative to represent 3D data gathered by 3D scan for re-inverse engineering or medical data from MRI or CT scan for scientific visualization. However, they are hard to display and in order to take advantage of the current graphic pipeline which relies on triangle rasterization, they need to be converted from their continuous mathematical definition to a piecewise polygonal representation.
In this work we survey the several techniques for the visualization of implicit surfaces. Starting from the identification of the different types of implicit surfaces used in Computer Graphics, we identify the main class of algorithms for its visualization and the advantages between them. Then, we focus on polygonization methods, since they are the more popular and adapted to nowadays graphic hardware. Since polygonization is a discretization process of implicit surfaces, we present the state of the art of the important issues related with the mesh generation to approximate a continuous model. These issues are related with topological correctness, sharpness and smoothness fidelity and visualization or conversion quality of the resulting polygonal approximation. By doing so, we are able to classify and compare existing visualization approaches using comparison criteria extracted from the several concerns handled by current research work on this area. The analysis of the existing techniques enable us to identify the best strategies to be followed to offer an high quality visualization of implicit surface and the more adequate solutions to overcome existing issues related with the polygonization of implicit surfaces.
Date: 2007-Sep-13 Time: 16:00:00 Room: Auditorio Omega, 9º Andar INESC
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Workshop “Metabolism and mathematical models: Two for a tango” – 2nd Edition
Title: Workshop Metabolism and mathematical models: Two for a tango – 2nd Edition
Dates: October 25-26, 2022
Location: This workshop will be held in a virtual way
The topic of this workshop is metabolism in general, with a special focus, although not exclusive, on parasitology. Besides an exploration of the biological, biochemical and biomedical aspects, the workshop will also aim at presenting some of the mathematical modelling, algorithmic theory and software development that have become crucial to explore such aspects.
This workshop is being organised in the context of two projects, both with the Inria European Team Erable. One of the projects involves a partnership with the University of São Paulo (USP), in São Paulo, Brazil, more specifically the Institute of Mathematics and Statistics (IME) and the Institute of Biomedical Sciences – Inria Associated Team Capoeira – and the other involves the Inesc-ID/IST in Portugal, ETH in Zürich and EMBL in Heidelberg – H2020 Twinning Project Olissipo.
The workshop is open to all members of these two projects but also, importantly, to the community in general.
The program and more details are available here.