Method and apparatus for rendering using symplectic ray tracing

• US 20050046641A1
• Filed: 09/02/2003
• Published: 03/03/2005
• Est. Priority Date: 09/02/2003
• Status: Active Grant

• Current Assignee: National Institute of Information and Communications Technology
• Original Assignee: Communications Research Laboratory Independent Administrative Institution
• Inventors: Sato, Tetsu
• Granted Patent: US 6,999,096 B2
• Time in Patent Office: Days
• US Class Current: 345/589
• CPC Class Codes: G06T 15/06 Ray-tracing
• CPC Class Codes: G06T 15/40 Hidden part removal

Abstract

The method for rendering using symplectic ray tracing is comprised the step of fixing the location of observation, fixing view screen of observation, practicing the symplectic ray tracing, acquiring the information of the color where the light rays cross the surface of the objects, rendering the objects according to the information of the color acquired. The symplectic ray tracing of the present invention forms the Hamilton'"'"'s canonical equation by applying the fast automatic differentiation techniques with the Hamiltonian H of the objects, and practices the symplectic integration by applying the symplectic Euler method to the formed Hamilton'"'"'s canonical equation. The present invention can provide the apparatus and method for rendering which can visualize the phenomena in non-homogeneously transparent object or the four-dimensional black hole space time.

Claims

1. The method for rendering using symplectic ray tracing, the method comprising the steps of:

fixing the location of observation, fixing view screen of observation;

practicing the symplectic ray tracing;

acquiring the information of the color where the light rays cross the surface of the objects; and

rendering the objects according to the information of the color acquired.

2. The method for rendering using symplectic ray tracing set forth in claim 1 wherein the step of practicing the symplectic ray tracing includes:

forming the Hamilton'"'"'s canonical equation by applying the fast automatic differentiation techniques; and

practicing symplectic integration by applying the symplectic Euler method to the formed Hamilton'"'"'s canonical equation.

3. The apparatus for rendering using symplectic ray tracing, the apparatus comprising:

the section of fixing the location of observation, and fixing view screen of observation;

the section of practicing the symplectic ray tracing,

the section of acquiring the information of the color where the light rays cross the surface of the objects,

the section of rendering the objects according to the information of the color acquired.

4. The apparatus for rendering using symplectic ray tracing set forth in claim 3

wherein the section of practicing the symplectic ray tracing is comprised by the section of forming the Hamilton'"'"'s canonical equation by applying the fast automatic differentiation techniques,

the section of practicing symplectic integration by applying the symplectic Euler method to the formed Hamilton'"'"'s canonical equation.