A Fourier-Shannon approach to closed contours modelling

Physically And Statistically Based Deformable Models For Medical Image Analysis

“…If we have only one example, then from (51) we getx = x 1 , and from (52) we get S = 0, and thus we have only the effects of the FEM model in (55). If the number of samples is very large, then we wish to ignore the effects of the vibrational modes.…”

“…Parametrization is done using landmarks (other shape parametrization methods may be utilized, e.g., Fourier descriptors [55] or B-Splines [51]). Landmarks are labeled either manually, as when a cardiologist labels the heart chamber boundaries [30,46], or (semi-)automatically [26].…”

Physically And Statistically Based Deformable Models For Medical Image Analysis

“…If we have only one example, then from (51) we getx = x 1 , and from (52) we get S = 0, and thus we have only the effects of the FEM model in (55). If the number of samples is very large, then we wish to ignore the effects of the vibrational modes.…”

“…Parametrization is done using landmarks (other shape parametrization methods may be utilized, e.g., Fourier descriptors [55] or B-Splines [51]). Landmarks are labeled either manually, as when a cardiologist labels the heart chamber boundaries [30,46], or (semi-)automatically [26].…”

Prototype of a rectal wall ultrasound image analysis system

“…Staib proposed a parametrically deformable model, which is based on the elliptic Fourier decomposition of the boundary [14]. The similar works are also done by Bonciu [15] and Szekely [16]. Pizer proposed a defomable shape loci [17], which is integrated the local shape properties from the medial primitives sought throughout the image space.…”

Physically And Statistically Based Deformable Models For Medical Image Analysis

“…If we have only one example, then from (51) we getx = x 1 , and from (52) we get S = 0, and thus we have only the effects of the FEM model in (55). If the number of samples is very large, then we wish to ignore the effects of the vibrational modes.…”

“…Parametrization is done using landmarks (other shape parametrization methods may be utilized, e.g., Fourier descriptors [55] or B-Splines [51]). Landmarks are labeled either manually, as when a cardiologist labels the heart chamber boundaries [30,46], or (semi-)automatically [26].…”

Prototype of a rectal wall ultrasound image analysis system

“…Staib proposed a parametrically deformable model, which is based on the elliptic Fourier decomposition of the boundary [14]. The similar works are also done by Bonciu [15] and Szekely [16]. Pizer proposed a defomable shape loci [17], which is integrated the local shape properties from the medial primitives sought throughout the image space.…”

Physically And Statistically Based Deformable Models For Medical Image Analysis

“…If we have only one example, then from (51) we getx = x 1 , and from (52) we get S = 0, and thus we have only the effects of the FEM model in (55). If the number of samples is very large, then we wish to ignore the effects of the vibrational modes.…”

“…Parametrization is done using landmarks (other shape parametrization methods may be utilized, e.g., Fourier descriptors [55] or B-Splines [51]). Landmarks are labeled either manually, as when a cardiologist labels the heart chamber boundaries [30,46], or (semi-)automatically [26].…”

Prototype of a rectal wall ultrasound image analysis system

“…Staib proposed a parametrically deformable model, which is based on the elliptic Fourier decomposition of the boundary [14]. The similar works are also done by Bonciu [15] and Szekely [16]. Pizer proposed a defomable shape loci [17], which is integrated the local shape properties from the medial primitives sought throughout the image space.…”