By Prof. Jie Tian (auth.)

"Molecular Imaging: basics and functions" is a complete monograph which describes not just the idea of the underlying algorithms and key applied sciences but additionally introduces a prototype approach and its purposes, bringing jointly thought, know-how and purposes. through explaining the fundamental innovations and rules of molecular imaging, imaging concepts, in addition to learn and purposes intimately, the publication presents either specific theoretical historical past info and technical equipment for researchers operating in clinical imaging and the lifestyles sciences. medical medical professionals and graduate scholars also will take advantage of this book.
Jie Tian is a professor on the Institute of Automation, chinese language Academy of Sciences, China.

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5) where μ t = μ a + μ s is the extinction coefficient and equals the sum of the absorption coefficient μ a and the scattering coefficient μs. Sampling for Eq. 6) where ξ is a random number and is normally distributed in the interval [0, 1]. 7) 32 2 Molecular Optical Simulation Environment However, further analysis must be made to determine whether or not the calculated position is the exact position of the photon. In other words, we need to determine whether or not the photon hits the boundary of tissue during the step size of s .

2) Fig. 3) where ξϕ , ξθ are random numbers in the interval [0, 1]. 4) In 2D cases, the emitting direction of the photon is determined only by the azimuth angle ϕ for photon transport in a finite plane (such as X-Y plane) and the deflection angle is always 90°. 3 Step Size of the Photon Packet The step size of the photon packet can be calculated using a sample of the probability distribution of the photon-free path s ∈ [0, ∞ ) . 5) where μ t = μ a + μ s is the extinction coefficient and equals the sum of the absorption coefficient μ a and the scattering coefficient μs.

31] Lorensen, W. & H. Cline (1987). “Marching cubes: a high resolution 3D surface construction algorithm”, ACM Computer Graphics 21(4): 163-170. [32] Garland, M. & P. Heckbert (1997). “Surface simplification using quadric error bounds”, SIGGRAPH’97 Conference Proceedings 209-216. 1 Outline Motivations When a near infrared (NIR) light shines on a biological tissue, a very small quantity of the photons in the light, called ballistic or snake photons, travel in a nearly straight path along the incident light axis; most of the photons are strongly scattered and migrate in a zigzag path.

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