We introduce the chiral domain of an arrangement cameras $$\mathcal {A} = \{A_1,..., A_m\}$$ which is subset $$\mathbb {P}^3$$ visible in {A}$$ . It generalizes classical definition chirality to include all and offers a unifying framework for studying multiview chirality. give algebraic description allows us define describe version Triggs’ joint image. then use re-derive extend prior results on...

In this paper we address the problem of automatic arrangement of cameras in a 3D system to enhance the performance of depth acquisition procedure. Lacking ground truth or a priori information, a measure of uncertainty is required to assess the quality of reconstruction. The mathematical model of iso-disparity surfaces provides an efficient way to estimate the depth estimation uncertainty which ...

There are many researches about the methods to generate free viewpoint image in linear camera arrangement, but it is rare in circular camera arrangement. In this paper, we propose a novel method to generate free viewpoint image for FTV in circular camera arrangement. This method is based on the Ray-Space method, which is one of the Image Based Rendering (IBR) techniques. We can generate arbitra...

We demonstrate an infinite family of pseudoline arrangements, in which an arrangement of n pseudolines has no member incident to more than 4n/9 points of intersection. (This shows the “Strong Dirac” conjecture to be false for pseudolines.) We also prove non-trivial lower bounds on the maximum number of intersection points on any curve in an arrangement of curves in the plane, for various classe...

Among the many ways to view oriented matroids as geometrical objects, we consider two that have special properties: • Bland’s analysis of complementary subspaces in IRn [2] has the special feature that it simultaneously and symmetrically represents a realizable oriented matroid and its dual; • Lawrence’s topological representation of oriented matroids by arrangements of pseudospheres [4] has th...

We study two kinds of segment orders, using definitions first proposed by Farhad Shahrokhi. Although the two kinds of segment orders appear to be quite different, we prove several results suggesting that the are very much the same. For example, we show that the following classes belong to both kinds of segment orders: (1) all posets having dimension at most 3; (2) interval orders; and for n ≥ 3...

We describe an incremental algorithm to enumerate the isomorphism classes of double pseudoline arrangements. The correction of our algorithm is based on the connectedness under mutations of the spaces of one-extensions of double pseudoline arrangements, proved in this paper. Counting results derived from an implementation of our algorithm are also reported.

Guidance performances of an agricultural robot were evaluated when the robot traveled along cornrows and performed the row to row turning maneuver in cornfield with variable angle of view (AOV) camera arrangement. The arrangement with one low-cost camera has flexible AOV by controlling Servo motors motions as human vision. In this work, a forward far AOV was used to segment clearly and quickly ...