Algebraic vision

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6. Multiview Geometry for Continuous Motion

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Problem 6.1.
Is there a differentiable structure for essential varieties or fundamental varieties over time. Is there a formal structure? Can we use deformation theory and cohomological techniques?
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Problem 6.2.
What is the proper algebraic formulation for a continuous multiview variety? $\mathbb{P}^1 \times \mathbb{P}^3 \to (\mathbb{P}^2)^n$ ? $Hom(\mathbb{A}^1, \text{essential matrices})$ ? Kontsevich spaces? Or could we use points and optical flow data?

Cite this as: AimPL: Algebraic vision, available at http://aimpl.org/algvision.