6533b7dafe1ef96bd126dfc1

RESEARCH PRODUCT

Supershape Recovery from 3D Data Sets

Andrei V. GribokMongi A. AbidiSebti FoufouFrederic TruchetetYohan Fougerolle

subject

Implicit functionbusiness.industrySignal reconstructionImage segmentationFunction (mathematics)Iterative reconstructionSynthetic dataComputer visionArtificial intelligencebusinessBoolean functionAlgorithmStandard Boolean modelMathematics

description

In this paper, we apply supershapes and R-functions to surface recovery from 3D data sets. Individual supershapes are separately recovered from a segmented mesh. R-functions are used to perform Boolean operations between the reconstructed parts to obtain a single implicit equation of the reconstructed object that is used to define a global error reconstruction function. We present surface recovery results ranging from single synthetic data to real complex objects involving the composition of several supershapes and holes.

https://doi.org/10.1109/icip.2006.312975