For 3-D video applications, dense depth maps are required. We present a segment-based structure-from-motion technique. After image segmentation, we estimate the motion of each segment. With knowledge of the camera motion, this can be translated into depth. The optimal depth is found by minimizing a suitable error norm, which can handle occlusions as well. This method combines the advantages of ...

Visual navigation is one of the fundamental problems in robotics. The last decade specifically has seen many important contributions in this field. As of today, feature point based approaches are by far the most popular. While successful in a host of applications, untextured environments can be highly problematic for these methods, since the number of reliable feature points is often low in the...

Recently, Lehmann, Sengupta, and Tanimoto proposed a conjectural construction of the exceptional set in Manin’s Conjecture, which we call geometric set. We construct del Pezzo surface degree 1 whose is Zariski dense. In particular, this provides first counterexample to original version Conjecture dimension 2 characteristic 0. Assuming finiteness Tate-Shafarevich groups elliptic curves over $${\...

We develop a new notion called (1− ǫ)-tester for a set M of functions f : A → C. A (1− ǫ)-tester for M maps each element a ∈ A to a finite number of elements Ba = {b1, . . . , bt} ⊂ B in a smaller sub-domain B ⊂ A where for every f ∈ M if f(a) 6= 0 then f(b) 6= 0 for at least (1 − ǫ) fraction of the elements b of Ba. I.e., if f(a) 6= 0 then Prb∈Ba [f(b) 6= 0] ≥ 1− ǫ. The size of the (1− ǫ)-test...