---
_id: '7418'
abstract:
- lang: eng
  text: Multiple importance sampling (MIS) has become an indispensable tool in Monte
    Carlo rendering, widely accepted as a near-optimal solution for combining different
    sampling techniques. But an MIS combination, using the common balance or power
    heuristics, often results in an overly defensive estimator, leading to high variance.
    We show that by generalizing the MIS framework, variance can be substantially
    reduced. Specifically, we optimize one of the combined sampling techniques so
    as to decrease the overall variance of the resulting MIS estimator. We apply the
    approach to the computation of direct illumination due to an HDR environment map
    and to the computation of global illumination using a path guiding algorithm.
    The implementation can be as simple as subtracting a constant value from the tabulated
    sampling density done entirely in a preprocessing step. This produces a consistent
    noise reduction in all our tests with no negative influence on run time, no artifacts
    or bias, and no failure cases.
article_number: '151'
article_processing_charge: No
article_type: original
author:
- first_name: Ondřej
  full_name: Karlík, Ondřej
  last_name: Karlík
- first_name: Martin
  full_name: Šik, Martin
  last_name: Šik
- first_name: Petr
  full_name: Vévoda, Petr
  last_name: Vévoda
- first_name: Tomas
  full_name: Skrivan, Tomas
  id: 486A5A46-F248-11E8-B48F-1D18A9856A87
  last_name: Skrivan
- first_name: Jaroslav
  full_name: Křivánek, Jaroslav
  last_name: Křivánek
citation:
  ama: 'Karlík O, Šik M, Vévoda P, Skrivan T, Křivánek J. MIS compensation: Optimizing
    sampling techniques in multiple importance sampling. <i>ACM Transactions on Graphics</i>.
    2019;38(6). doi:<a href="https://doi.org/10.1145/3355089.3356565">10.1145/3355089.3356565</a>'
  apa: 'Karlík, O., Šik, M., Vévoda, P., Skrivan, T., &#38; Křivánek, J. (2019). MIS
    compensation: Optimizing sampling techniques in multiple importance sampling.
    <i>ACM Transactions on Graphics</i>. ACM. <a href="https://doi.org/10.1145/3355089.3356565">https://doi.org/10.1145/3355089.3356565</a>'
  chicago: 'Karlík, Ondřej, Martin Šik, Petr Vévoda, Tomas Skrivan, and Jaroslav Křivánek.
    “MIS Compensation: Optimizing Sampling Techniques in Multiple Importance Sampling.”
    <i>ACM Transactions on Graphics</i>. ACM, 2019. <a href="https://doi.org/10.1145/3355089.3356565">https://doi.org/10.1145/3355089.3356565</a>.'
  ieee: 'O. Karlík, M. Šik, P. Vévoda, T. Skrivan, and J. Křivánek, “MIS compensation:
    Optimizing sampling techniques in multiple importance sampling,” <i>ACM Transactions
    on Graphics</i>, vol. 38, no. 6. ACM, 2019.'
  ista: 'Karlík O, Šik M, Vévoda P, Skrivan T, Křivánek J. 2019. MIS compensation:
    Optimizing sampling techniques in multiple importance sampling. ACM Transactions
    on Graphics. 38(6), 151.'
  mla: 'Karlík, Ondřej, et al. “MIS Compensation: Optimizing Sampling Techniques in
    Multiple Importance Sampling.” <i>ACM Transactions on Graphics</i>, vol. 38, no.
    6, 151, ACM, 2019, doi:<a href="https://doi.org/10.1145/3355089.3356565">10.1145/3355089.3356565</a>.'
  short: O. Karlík, M. Šik, P. Vévoda, T. Skrivan, J. Křivánek, ACM Transactions on
    Graphics 38 (2019).
date_created: 2020-01-30T10:19:43Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2023-09-06T15:22:23Z
day: '01'
department:
- _id: ChWo
doi: 10.1145/3355089.3356565
external_id:
  isi:
  - '000498397300001'
intvolume: '        38'
isi: 1
issue: '6'
language:
- iso: eng
month: '11'
oa_version: None
publication: ACM Transactions on Graphics
publication_identifier:
  eissn:
  - 1557-7368
  issn:
  - 0730-0301
publication_status: published
publisher: ACM
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'MIS compensation: Optimizing sampling techniques in multiple importance sampling'
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 38
year: '2019'
...