This paper presents a method of four-dimensional (4-D) (3-D + Time) space-f
requency analysis for directional denoising and enhancement of real-time th
ree-dimensional (RT3D) ultrasound and quantitative measures in diagnostic c
ardiac ultrasound. Expansion of echocardiographic volumes is performed with
complex exponential wavelet-like basis functions called brushlets, These f
unctions offer good localization in time and frequency and decompose a sign
al into distinct patterns of oriented harmonics, which are invariant to int
ensity and contrast range. Deformable-model segmentation is carried out on
denoised data after thresholding of transform coefficients, This process at
tenuates speckle noise while preserving cardiac structure location, The sup
eriority of 4-D over 3-D analysis for decorrelating additive white noise an
d multiplicative speckle noise on a 4-D phantom volume expanding in time is
demonstrated, Quantitative validation, computed for contours and volumes,
is performed on in vitro balloon phantoms. Clinical applications of this sp
aciotemporal analysis tool are reported for six patient cases providing mea
sures of left ventricular volumes and ejection fraction.