【笔记】Various Volume Rendering

Volume Rendering

Principle

  • Create a two dimensional image that reflects, at every pixel, the data along a ray parallel to the viewing direction passing through that pixel.

We need two functions:

  • Ray function

    To synthesize the points along the ray

  • Transfer function

    To map the value of a point on the ray to a color and opacity (RGBA) value

Various Ray Functions

Max

  • Maximum Intensity Projection (MIP)

    \[I(p)=f(\max\limits_{t=0}^{T} s(t)) \]

  • Maximum Opacity

    We take \(S_m\) as \(\max\limits_{t=0}^{T} s(t)\)

    \[f_A(S_m)=\max\limits_{t=0}^{T}f_{A}(s(t)) \]

High-intensity structure

Lack depth info

Average

\[I(p)=f(\dfrac{\int_{t=0}^Ts(t)dt}{T}) \]

Similar to a X-ray image

Distance to Value

\[I(p) = f(\min\limits_{t=0}^{T}[s(t)\ge\sigma]t) \]

Useful in revealing the minimal depth

Isosurface

\[\begin{aligned} I(p)&=f(\sigma)\quad,\exist t\in [0,T],s(t)=\sigma\\ &=I_0 \quad,otherwise \end{aligned} \]

Compositing

Detailed information..

https://www.cnblogs.com/ghostcai/p/15705016.html

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