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Questions tagged [hemisphere]

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2answers
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If a 3D scene is rendered onto a hemispherical display, will there still be warping near the edges?

When a 3D scene is rendered to a 2D display, the image is distorted near the edges of the display. If a 3D scene is rendered onto a hemispherical display, will there still be warping?
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0answers
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Exact Formula for Diffuse Hemisphere Lighting

The OpenGL Programming Guide states the formula for diffuse hemisphere lighting on a surface with normal vector $\vec{n}$ as $L_o(\vec{n}) = L_i(\uparrow) (1-\frac{1}{2}\sin(\theta)) + L_i(\downarrow)...
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2answers
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Why map Hammersley 2D set's (u,v) to sphere's (θ, φ) coordinates (and not to (φ, θ) )?

As explained in Holger Dammetz page Hammersley Points on the Hemisphere, the 2D coordinates (u,v) are usually mapped to the spherical coordinates (θ, φ). As a result, the coordinate "uniformly ...
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1answer
436 views

Convolution of Hemispherical Harmonics

Spherical Harmonics (SH) are a way to represent low-frequency spherical functions with only a handful of coefficients. They have some nice mathematical properties, e.g. a convolution with a kernel ...