Analytical derivation of a formula for the reduction of computation time by the voxel crossing technique used in room acoustical simulation

Applied Acoustics

Volumn 67, Issue 10, 2006, Pages 959-981

  Stephenson, Uwe Martin ^a  

^a Harbour City University   (Germany)

Author keywords

Algorithms; Computation time; Computer graphics; Numerical acoustics; Ray tracing; Room acoustics; Voxels

Indexed keywords

ALGORITHMS; COMPUTATION THEORY; COMPUTER GRAPHICS; COMPUTER SIMULATION; NUMERICAL ANALYSIS; PROBABILITY; RAY TRACING;

COMPUTATION TIME; NUMERICAL ACOUSTICS; ROOM ACOUSTICS; VOXELS;

ACOUSTIC VARIABLES MEASUREMENT;

EID: 33745649191     PISSN: 0003682X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apacoust.2006.01.005     Document Type: Article

References (8)

1. Stephenson U. Eine Schallteilchen-Computer-Simulation zur Berechnung der für die Hörsamkeit in Konzertsälen maßgebenden Parameter (Sound particle computer simulation for the computation of room acoustical parameters of concert halls). Acustica 59 (1985) 1-20
2. Stephenson UM. Raumakustik-Optimierung: Rechenzeitverkürzung bei der Schallteilchensimulation; (room acoustical optimization: computation time reduction in sound particle simulation) In: 17. Tonmeistertagung, Karlsruhe, 1992, Bericht; Saur-Verlag, München; 1993.
3. In: Glassner A. (Ed). An introduction to ray tracing. 2nd ed. (1990), Academic Press, London, San Diego
4. Stephenson UM. Beugungssimulation ohne Rechenzeitexplosion: Die Methode der quantisierten Pyramidenstrahlen - ein neues Berechnungsverfahren für Raumakustik und Lärmimmissionsprognose, Vergleiche, Ansätze, Lösungen; (simulation of diffraction without explosion of computation time: Quantized Pyramidal Beam Tracing -a new computational method for room acoustics and noise immission prognosis). Thesis, RWTH Aachen, Fak. Elektrotechnik; Shaker, Aachen; 2004.
5. Forsberg P.-A. Fully discrete ray tracing. Appl Acoust 18 (1985) 393-397
6. Lehnert H, Duerrer B. Untersuchungen zur Optimierung des Rechenzeitverhaltens des Strahlverfol- gungsverfahrens; (investigations on the minimization of computation time in ray tracing). In: Proc of DAGA 1993, Frankfurt, DPG-GmbH, Bad Honnef; 1993. p. 227-30.
7. Stephenson U.M. Comparison of the mirror image source method and the sound particle simulation method. Appl Acoust 29 1 (1990) 35-72
8. Stephenson U. Quantized pyramidal beam tracing - a new algorithm for room acoustics and noise immission prognosis. Acustica united with acta acustica 82 (1996) 517-525