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Optimizing Anamorphic Sculptures

4 days ago
  • The author developed an application that uses gradient descent to arrange 3D meshes into anamorphic sculptures that form a target silhouette from a specific camera angle.
  • A soft rasterizer replaces hard pixel boundaries with a sigmoid function to enable differentiable rendering and error backpropagation during optimization.
  • The loss function combines four components: intersection over union, spill penalty (pixels outside target), outline quality using total variation, and collision penalty between meshes.
  • The optimization can be extended to multiple views by placing cameras at a 90-degree angle and using harmonic mean loss to balance the two target images.
  • Future exploration includes more components, robustness at near-vantage angles, and better use of complementary views.