approved: Sinisa Todorovic Reasoning about 3D shape of objects is important for successful computer vision applications in robotics, 3D rendering and modeling. In this thesis, we address two problems – First, given an image, we generate 3D shape of the foreground object that appears in the image. Second, we predict the class label of the input 3D object shape. Recent work uses convolutional neu...

Researchers in bioelectromagnetics often require realistic tissue, cellular and sub-cellular geometry models for their simulations. However, biological shapes are often extremely irregular, while conventional geometrical modeling tools on the market cannot meet the demand for fast and efficient construction of irregular geometries. We have designed a free, user-friendly tool in MATLAB that comb...

Smooth pursuit eye movements (SP) were studied in 5- and 9-month-old infants and adults in response to a rhombus oscillating horizontally behind three spatially separated vertical occluders. During motion, the rhombus vertices were never visible. Thus the perception of the global motion of the rhombus required integration of its moving visible segments. We tested whether infants were able to us...

Although cell shape can reflect the mechanical and biochemical properties of the cell and its environment, quantification of 3D cell shapes within 3D tissues can be difficult, typically requiring digital reconstruction from a stack of 2D images. We investigate a simple alternative technique that can provide information about the 3D shapes of cells in a tissue from non-consecutive 2D slices. Our...

The rhombus tilings of a simply connected domain of the Euclidean plane are known to form a flip-connected space (a flip is the elementary operation on rhombus tilings which rotates 180◦ a hexagon made of three rhombi). Motivated by the study of a quasicrystal growth model, we are here interested in better understanding how “tight” rhombus tiling spaces are flip-connected. We introduce a lower ...