I will first discuss a tight frame based segmentation model, as well as a fast implementation, for general medical image segmentation problems. This model combines ideas of the frame based image restoration models with ideas of the total variation based segmentation models (convexified Chan-Vese Model). Then I will move to the topic on biological shape processing and analysis, which is a rather popular topic lately in biomedical image analysis. Within this category, I will mainly discuss the following three topics: surface restoration via nonlocal means; brain aneurysm segmentation in 3D biomedical images; and multiscale representation (MSR) for shapes and its applications in blood vessel recovery (surface inpainting). Some future work and ongoing projects will be mentioned in the end.