Approximations by Smooth Transitions in Binary Space Partitions Marcos Lage, Alex Bordignon, Fabiano...
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Approximations by Smooth Transitions in Binary Space Partitions Marcos Lage, Alex Bordignon, Fabiano Petronetto, Álvaro Veiga, Geovan Tavares, Thomas Lewiner, Hélio Lopes Matmidia Labs - PUC-Rio - Brazil
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Transcript of Approximations by Smooth Transitions in Binary Space Partitions Marcos Lage, Alex Bordignon, Fabiano...
Approximations by Smooth Transitions in Binary Space
PartitionsMarcos Lage, Alex Bordignon, Fabiano Petronetto, Álvaro
Veiga, Geovan Tavares, Thomas Lewiner, Hélio Lopes
Matmidia Labs - PUC-Rio - Brazil
Outline
BackgroundBsp
CARTSTR-Trees
Results
Motivation
Smooth transition BSP approximation
Problem description Contributions
Transition functionParameters
Future works
Contributions
Simple and fast approximation
schemeHierarchical plane-
basis function modeling
Infinitely smooth and analytical derivation
Smooth transition BSP approximation
(Transition parameter)
Lambda = 5
Lambda = 10
Lambda = 25
Lambda = 50
Future works
Extension to higher dimensions
BSP refinement criterias
Adaptative transition parameter