The luminance value calculation in a gradient refractive index media

This paper presents a raytracing-based method of synthesis of realistic images in a complex space containing gradient lenses. The proposed solution is based on the Runge-Kutta method and allows raytracing in a space with a gradient medium. The authors have developed an effective solution, which allows dividing the complex lens boundary into voxels and providing a fast ray tracing procedure inside the voxel. In addition, the authors considered possible solutions for calculating luminance components within a gradient refractive index medium. The study showed that the most efficient way to calculate luminance is based on stochastic bidirectional raytracing with photon maps.

[1]  Philip M. Hubbard,et al.  Interactive collision detection , 1993, Proceedings of 1993 IEEE Research Properties in Virtual Reality Symposium.

[2]  Douglas H. Werner,et al.  Advanced gradient-index lens design tools to maximize system performance and reduce SWaP , 2016, SPIE Defense + Security.

[3]  Mathieu Desbrun,et al.  Dynamic real-time deformations using space & time adaptive sampling , 2001, SIGGRAPH.

[4]  Dinesh Manocha,et al.  Fast and simple 2D geometric proximity queries using graphics hardware , 2001, I3D '01.

[5]  George Baciu,et al.  RECODE: an image-based collision detection algorithm , 1998, Proceedings Pacific Graphics '98. Sixth Pacific Conference on Computer Graphics and Applications (Cat. No.98EX208).

[6]  Gino van den Bergen Efficient Collision Detection of Complex Deformable Models using AABB Trees , 1997, J. Graphics, GPU, & Game Tools.

[7]  Ming C. Lin,et al.  Simulation of Non-penetrating Elastic Bodies Using Distance Fields , 2000 .

[8]  Taosong He,et al.  Collision detection for volumetric objects , 1997, Proceedings. Visualization '97 (Cat. No. 97CB36155).

[9]  Jennifer Urner,et al.  Applied Digital Optics From Micro Optics To Nanophotonics , 2016 .

[10]  Ronald Fedkiw,et al.  Robust treatment of collisions, contact and friction for cloth animation , 2002, SIGGRAPH Courses.

[11]  Dinesh Manocha,et al.  Efficient and Accurate Interference Detection for Polynomial Deformation and Soft Object Animation , 1996 .

[12]  W. T. Welford,et al.  Gradient Index Optics , 1979 .

[13]  Dinesh Manocha,et al.  OBBTree: a hierarchical structure for rapid interference detection , 1996, SIGGRAPH.

[14]  Sean Quinlan,et al.  Efficient distance computation between non-convex objects , 1994, Proceedings of the 1994 IEEE International Conference on Robotics and Automation.

[15]  R. K. Luneburg,et al.  Mathematical Theory of Optics , 1966 .

[16]  D T Moore,et al.  Gradient-index optics: a review. , 1980, Applied optics.

[17]  E. Hastings,et al.  Optimization of Large-Scale , Real-Time Simulations by Spatial Hashing , 2007 .

[18]  Dinesh Manocha,et al.  Fast penetration depth computation for physically-based animation , 2002, SCA '02.

[19]  Jean-Christophe Lombardo,et al.  Real-time collision detection for virtual surgery , 1999, Proceedings Computer Animation 1999.

[20]  Gabriel Zachmann,et al.  Minimal hierarchical collision detection , 2002, VRST '02.

[21]  Joseph S. B. Mitchell,et al.  Efficient Collision Detection Using Bounding Volume Hierarchies of k-DOPs , 1998, IEEE Trans. Vis. Comput. Graph..

[22]  Dinesh Manocha,et al.  Closest Point Query among the Union of Convex Polytopes Using Rasterization Hardware , 2002, J. Graphics, GPU, & Game Tools.