This optical art generator warps standard planar images into polar anamorphic drawings using HTML5 Canvas pixel mapping. Cylindrical anamorphosis is a classical optical art technique where a severely distorted, curved semi-circular drawing reveals an upright, geometrically undistorted reflection when viewed in a polished chrome or reflective cylinder placed at its center point.

### Coordinate Transformation & Polar Warping Math Cartesian pixel coordinates $(x, y)$ from the rectangular source artwork are remapped into polar coordinates $(r, \theta)$ around the mirror cylinder baseline:

- **Cylinder Mirror Core ($r_0$):** Defines the central inner circular boundary where the reflective cylinder sits (configurable radius in pixels). - **Polar Angle Distribution ($\theta$):** Stretches horizontal image coordinates $x \in [0, W]$ across an angular arc span ($\Delta \theta$, typically $180^\circ$ to $360^\circ$): $\theta = \theta_{\text{start}} + \left( \frac{x}{W} \right) \times \Delta \theta$ - **Radial Distance ($r$):** Remaps vertical image coordinates $y \in [0, H]$ into radiating concentric distance rings away from the mirror surface: $r = r_0 + \left( \frac{y}{H} \right) \times (R_{\text{max}} - r_0)$ - **Canvas Destination Mapping:** Converts polar coordinates into output canvas Cartesian pixels: $X_{\text{out}} = X_{\text{center}} + r \cos(\theta), \quad Y_{\text{out}} = Y_{\text{center}} + r \sin(\theta)$ - **Reflective Preview Simulation:** The tool renders a real-time raytraced simulation of the curved cylindrical mirror reflection, confirming that the distorted arc reconstitutes into clean artwork.

### Concrete Usage Walkthrough 1. **Load Artwork:** Use the default geometric optical illusion emblem or upload a custom line drawing. 2. **Configure Cylinder Radius:** Set cylinder radius to $60\text{ px}$ to match the physical diameter of your reflective cylinder (such as a polished chrome tube, stainless cocktail shaker, or mirrored PVC pipe). 3. **Set Arc Span:** Select $180^\circ$ for a semi-circular table display or $360^\circ$ for a full circumferential drawing. 4. **Inspect Mirror Reflection:** Check the live preview canvas to verify that the distorted fan-shaped printout reflects as an upright, legible image. 5. **Export & Print:** Download the high-resolution warped canvas PNG and print on standard paper.

### Client-Side Processing Note All polar trigonometric transformations, canvas pixel remapping, and mirror simulation rendering execute locally in client-side JavaScript. No images or artwork are uploaded to external servers.