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Tracing Ray Differentials

Learn about ray differentials and tracing, and how derivatives of rays with respect to image space coordinates are applied. Explore initial value transfer reflection and texture filtering techniques like mip mapping. Enhance your insight into image processing.

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Tracing Ray Differentials

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  1. Tracing Ray Differentials Homan Igehy Speaker: Haoji

  2. Ray tracing • ray differentials • derivatives of the ray with respect to image space coordinates, by applying the derivatives of the functions.

  3. Initial value

  4. Transfer

  5. Reflection

  6. If we know the formula for how a ray is affected by a phenomenon, then we can differentiate it to get a formula for how a ray differential is affected without any understanding of the phenomenon

  7. Texture Filtering • If we can approximate the difference between the texture coordinates corresponding to a ray and its neighboring rays, then we can find the size and shape of a filtering kernel in texture space. pixel’s footprint in texture space based on the pixel-to-pixel spacing:

  8. Given this parallelogram, one of several texture filtering methods can be used • mip mapping • level-of-dital =>

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