Título: | INVARIANT DERIVATIVE FILTERS | ||||||||||||
Autor: |
ROMULO BRITO DA SILVA |
||||||||||||
Colaborador(es): |
THOMAS LEWINER - Orientador |
||||||||||||
Catalogação: | 06/NOV/2013 | Língua(s): | PORTUGUESE - BRAZIL |
||||||||||
Tipo: | TEXT | Subtipo: | THESIS | ||||||||||
Notas: |
[pt] Todos os dados constantes dos documentos são de inteira responsabilidade de seus autores. Os dados utilizados nas descrições dos documentos estão em conformidade com os sistemas da administração da PUC-Rio. [en] All data contained in the documents are the sole responsibility of the authors. The data used in the descriptions of the documents are in conformity with the systems of the administration of PUC-Rio. |
||||||||||||
Referência(s): |
[pt] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=22234&idi=1 [en] https://www.maxwell.vrac.puc-rio.br/projetosEspeciais/ETDs/consultas/conteudo.php?strSecao=resultado&nrSeq=22234&idi=2 |
||||||||||||
DOI: | https://doi.org/10.17771/PUCRio.acad.22234 | ||||||||||||
Resumo: | |||||||||||||
Typical data acquired in physical experiments or in geometrical
or medical imaging are discrete. This data is generally interpreted as
samples of an unknown function, whose derivatives still serve for the data
characterisation. For example, the movement of a fluid is described as a
velocity field, a curve is characterised by the evolution of its curvature,
images used in medical sciences are usually segmented by estimates of their
gradients, among others. It is possible to obtain coherent derivatives by
filtering the data. However, with multidimensional data, the usual filters
present a bias towards to favor directions aligned with the axis, which may
induce problems when the derivatives are interpreted geometrically. For
example, the estimated curvature would depend on the orientation of the
curve, loosing the geometric meaning of the curvature. The goal of the
present work is to improve the geometric invariance of derivative filters.
|
|||||||||||||
|