Comput Methods Programs Biomed - Fast computation of Hessian-based enhancement filters for medical images.

Tópicos

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Resumo

This paper presents a method for fast computation of Hessian-based enhancement filters, whose conditions for identifying particular structures in medical images are associated only with the signs of Hessian eigenvalues. The computational costs of Hessian-based enhancement filters come mainly from the computation of Hessian eigenvalues corresponding to image elements to obtain filter responses, because computing eigenvalues of a matrix requires substantial computational effort. High computational cost has become a challenge in the application of Hessian-based enhancement filters. Using a property of the characteristic polynomial coefficients of a matrix and the well-known Routh-Hurwitz criterion in control engineering, it is shown that under certain conditions, the response of a Hessian-based enhancement filter to an image element can be obtained without having to compute Hessian eigenvalues. The computational cost can thus be reduced. Experimental results on several medical images show that the method proposed in this paper can reduce significantly the number of computations of Hessian eigenvalues and the processing times of images. The percentage reductions of the number of computations of Hessian eigenvalues for enhancing blob- and tubular-like structures in two-dimensional images are approximately 90% and 65%, respectively. For enhancing blob-, tubular-, and plane-like structures in three-dimensional images, the reductions are approximately 97%, 75%, and 12%, respectively. For the processing times, the percentage reductions for enhancing blob- and tubular-like structures in two-dimensional images are approximately 31% and 7.5%, respectively. The reductions for enhancing blob-, tubular-, and plane-like structures in three-dimensional images are approximately 68%, 55%, and 3%, respectively.

Resumo Limpo

paper present method fast comput hessianbas enhanc filter whose condit identifi particular structur medic imag associ sign hessian eigenvalu comput cost hessianbas enhanc filter come main comput hessian eigenvalu correspond imag element obtain filter respons comput eigenvalu matrix requir substanti comput effort high comput cost becom challeng applic hessianbas enhanc filter use properti characterist polynomi coeffici matrix wellknown routhhurwitz criterion control engin shown certain condit respons hessianbas enhanc filter imag element can obtain without comput hessian eigenvalu comput cost can thus reduc experiment result sever medic imag show method propos paper can reduc signific number comput hessian eigenvalu process time imag percentag reduct number comput hessian eigenvalu enhanc blob tubularlik structur twodimension imag approxim respect enhanc blob tubular planelik structur threedimension imag reduct approxim respect process time percentag reduct enhanc blob tubularlik structur twodimension imag approxim respect reduct enhanc blob tubular planelik structur threedimension imag approxim respect

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