Random Walk Radiosity with Generalized Absorption Probabilities

نویسنده

  • Mateu Sbert
چکیده

In this paper we study random walk estimators for radiosity with generalized absorption probabilities. That is, a path will either die or survive on a patch according to an arbitrary probability. The estimators studied so far, the infinite path length estimator and finite path length one, can be considered as particular cases. Practical applications of the random walks with generalized probabilities are given. A necessary and sufficient condition for the existence of the variance is given, together with an heuristics to be used in practical cases. The optimal probabilities are also found for the case when we are interested in the whole scene, and are equal to the reflectivities.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Random Walk Radiosity with generalized transition probabilities

In this paper we study random walk estimators for radiosity with generalized transition and absorption probabilities. That is, a path will travel from patch to patch according to an arbitrary transition probability, and survive or be absorbed in it according to another arbitrary absorption probability. The estimators studied so far, those with arbitrary absorption probabilities but with the For...

متن کامل

Gathering for Free in Random Walk Radiosity

We present a simple technique that improves the efficiency of random walk algorithms for radiosity. Each generated random walk is used to simultaneously sample two distinct radiosity estimators. The first estimator is the commonly used shooting estimator, in which the radiosity due to self-emitted light at the origin of the random walk is recorded at each subsequently visited patch. With the se...

متن کامل

Interrelations between random walks on diagrams (graphs) with and without cycles.

Three topics are discussed. A discrete-state, continuous-time random walk with one or more absorption states can be studied by a presumably new method: some mean properties, including the mean time to absorption, can be found from a modified diagram (graph) in which each absorption state is replaced by a one-way cycle back to the starting state. The second problem is a random walk on a diagram ...

متن کامل

A Note on Absorption Probabilities in One-dimensional Random Walk via Complex-valued Martingales

Let {Xn, n ≥ 1} be a sequence of i.i.d random variables taking finite number of integers, and let Sn = Sn−1 + Xn for n ≥ 1 and S0 = 0, be a random walk on Z, the set of integers. By using the zeros, together with their multiplicities, of the rational function f(x) = E(xX)−1, x ∈ C, we characterize the space U of all complex-valued martingales of the form {g(Sn), n ≥ 0} for some function g : Z→ ...

متن کامل

On Some Generalized Reinforced Random Walk on Integers

We consider Reinforced Random Walks where transition probabilities are a function of the proportion of times the walk has traversed an edge. We give conditions for recurrence or transience. A phase transition is observed, similar to Pemantle [Pem1] on trees.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1998