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Titolo:
A new framework for reconstruction of images from boundaries
Autore:
Ravi, D; Venkatesh, YV;
Indirizzi:
Indian Inst Sci, Dept Elect Engn, Comp Vis & Artificial Intelligence Lab, Bangalore 560012, Karnataka, India Indian Inst Sci Bangalore Karnataka India 560012 560012, Karnataka, India
Titolo Testata:
SIAM JOURNAL ON APPLIED MATHEMATICS
fascicolo: 6, volume: 60, anno: 2000,
pagine: 1841 - 1866
SICI:
0036-1399(20000620)60:6<1841:ANFFRO>2.0.ZU;2-V
Fonte:
ISI
Lingua:
ENG
Soggetto:
ZERO-CROSSINGS; SIGN INFORMATION; TRANSFORM; EDGES;
Keywords:
computer vision; boundary detection; image gradient; regularization; stable image reconstruction; inverse problems; zero crossings;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
Physical, Chemical & Earth Sciences
Citazioni:
15
Recensione:
Indirizzi per estratti:
Indirizzo: Ravi, D Indian Inst Sci, Dept Elect Engn, Comp Vis & Artificial Intelligence Lab, Bangalore 560012, Karnataka, India Indian Inst Sci Bangalore Karnataka India 560012 Karnataka, India
Citazione:
D. Ravi e Y.V. Venkatesh, "A new framework for reconstruction of images from boundaries", SIAM J A MA, 60(6), 2000, pp. 1841-1866

Abstract

The problem of reconstructing images from boundaries has been studied in the literature chiefly as one based on the information from zero crossings. In contrast, we formulate the problem within the framework of approximationtheory, and we propose a representation scheme involving (i) the points arbitrarily near the boundaries and (ii) the gradient information at these points. We show that the representation scheme is complete and stable under reasonable conditions. Further, we develop an efficient reconstruction mechanism, using the concept of a regularized solution, in which we penalize a candidate solution in proportion to its departure from a model which resembles the original in shape but is simple to construct. Finally, we demonstrate the effectiveness of the cost functional with the help of experimental results, using a representation in which the number of data points is much less than the number of pixels in the original image.

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Documento generato il 05/07/20 alle ore 00:36:52