Model-based Image Segmentation   
                  
                  
                  
               
               
                  
                     Image de-noising and image segmentation represent a crucial
                     part in many image processing and computer vision
                     applications. The goal of de-noising is to smooth homogenous
                     regions of an image while preserving the region boundaries
                     (i.e., edges). Meanwhile, segmentation techniques aim to
                     extract the boundaries of homogenous regions. In traditional
                     pipelined de-noising/segmentation schemes, the segmentation
                     step may suffer from a loss of vital information due to the
                     de-noising step, or due to the excess of noise. Combining 
                     these two steps should preserve much of this lost information
                     compared to the traditional methods. 
                     
                     
                     In this research, we plan to combine speckle image de-noising
                     and image segmentation processes in an iterative fashion at
                     various levels of granularity, rather than simultaneously.
                     This way, de-noising and segmentation sub-results would be
                     utilized by both schemes at all levels. This should 
                     facilitate the ability to smooth irrelevant details from the
                     image while enhancing and successfully segmenting the desired
                     object. In addition, we plan to incorporate prior knowledge
                     and optical flow information to the image 
                     segmentation/de-noising process. This direction should 
                     improve the accuracy of the produced segmentation results, 
                     especially when the object of interest has weak edges. We 
                     will also plan to improve the de-noising diffusion process by 
                     adaptively calculating diffusion coefficients. This step 
                     would improve de-noising results at a moderate complexity.
                     
                     
                     The proposed combined segmentation-diffusion approach will be
                     applied on real echocardiographic and carotid ultrasound 
                     images. These images tend to be plagued by speckle noise and 
                     other anomalous artifacts due to the sporadic nature of high
                     frequency sound waves. Hence, they present a perfect 
                     environment for validating and testing our proposed research.
                     Our proposed schemes would help improve the reliability of 
                     various clinical measures such as a left ventricular ejection
                     fraction or a carotid artery stenosis assessment. The
                     proposed segmentation schemes will be also validated and
                     tested on synthetic images with simulated speckle noise.